Relevant bibliographies by topics / Geometrically nonlinear static analyses

Academic literature on the topic 'Geometrically nonlinear static analyses'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Geometrically nonlinear static analyses"

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Yang, Lan, Changchuan Xie, and Chao Yang. "Geometrically exact vortex lattice and panel methods in static aeroelasticity of very flexible wing." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 234, no. 3 (November 20, 2019): 742–59. http://dx.doi.org/10.1177/0954410019885238.

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Geometrically exact vortex lattice method and panel method are presented in this paper to deal with aerodynamic load computation for geometrically nonlinear static aeroelastic problems. They are combined with geometrically nonlinear finite element method through surface spline interpolation in the loosely-coupled iteration. From the perspective of theoretical research, both vortex lattice method and panel method are based on the full potential equation and able to model the deflection and twist of the wing, while vortex lattice method is based on the thin airfoil theory, and panel method is suitable for thick wings. Although the potential flow equation is linear, the introduction of geometrically exact boundary conditions makes it significantly different from the linear aeroelastic analysis. The numerical results of a high aspect ratio wing are provided to declare the influence of large deformation on nonlinear static aeroelastic computation compared with linear analysis. Aeroelastic analyses based on geometrically exact vortex lattice method and panel method are also compared with the results of computational fluid dynamics/computational structural dynamics coupling method and the wind tunnel test data. The nonlinear static aeroelastic analysis agrees with the measurement even in considerably large deformation situations.
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Xenidis, Haris, Konstantinos Morfidis, and Panagis G. Papadopoulos. "Simple Nonlinear Static Analysis Using Truss Models for Modeling Snap-through of Thin Shallow Arches." Applied Mechanics and Materials 215-216 (November 2012): 685–91. http://dx.doi.org/10.4028/www.scientific.net/amm.215-216.685.

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In this paper, a truss model is used for the geometrically nonlinear static analysis of a thin shallow arch subject to snap-through. Thanks to the very simple geometry of a truss, the equilibrium conditions can be easily written and the global stiffness matrix can be easily updated with respect to the deformed structure, within each step of the analysis. A very coarse discretization is applied. For the geometrically nonlinear static analysis, a short computer program has been developed by displacement control of a plane truss model of a structure. This very short, fully documented computer program is applied on the geometrically nonlinear static analysis of a specific thin shallow arch subject to snap-through.
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Kato, Shiro, Takashi Ueki, and Yoichi Mukaiyama. "Study of Dynamic Collapse of Single Layer Reticular Domes Subjected to Earthquake Motion and the Estimation of Statically Equivalent Seismic Forces." International Journal of Space Structures 12, no. 3-4 (September 1997): 191–203. http://dx.doi.org/10.1177/026635119701200308.

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The present paper investigates the dynamic response characteristics of single layer reticular domes subjected to horizontal earthquake motions from the following view points: (1) how to estimate the statically equivalent seismic forces applied to domes both for high rise and low rise; and (2) how to estimate the collapse accelerations under which the domes collapse dynamically. For these purposes, linear response analyses, linear buckling analyses, geometrically and materially nonlinear static analyses and geometrically and materially nonlinear earthquake response analyses are performed. Based on the results, the collapse accelerations are expressed as a function of the safety factor for domes under self weight. The expression for the collapse accelerations leads to an approximate measure by which structural designers may balance the static resistant capacity under self weight and the dynamic resistant capacity under earthquake motions.
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Tsushima, Natsuki, Masato Tamayama, and Tomohiro Yokozeki. "Static Geometrically Nonlinear Aeroelastic Framework for Multi-Fidelity Analysis." JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES 68, no. 4 (2020): 142–47. http://dx.doi.org/10.2322/jjsass.68.142.

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Zuo, Wenjie, Ke Huang, and Fei Cheng. "EFESTS: Educational finite element software for truss structure – Part 3: Geometrically nonlinear static analysis." International Journal of Mechanical Engineering Education 45, no. 2 (February 20, 2017): 154–69. http://dx.doi.org/10.1177/0306419016689503.

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This article covers the modeling, formulation, solution, and software development of the geometrically nonlinear static finite element method of truss structure. Firstly, we summarize the total Lagrange bar elment formulation, which includes the tangent stiffness matrix and the internal force vector. Secondly, static class diagrams and dynamic sequence diagrams assist students in designing software architecture. Thirdly, the analytical example of the 2-bar truss structure and the numerical example of the 10-bar truss structure are presented to promote students’ understanding of geometrically nonlinear finite element theory and application. Finally, the developed software is free for educational research and can be downloaded from the website: http://mach.jlu.edu.cn/hb_images/xygk/xssz_sz_js.php?id=395 .
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Sautter, Klaus Bernd, and Kai-Uwe Bletzinger. "Hyperelastic Geometrically Nonlinear Inverse 3D-FEM Truss Analyses Based on VaReS." Advances in Civil Engineering 2022 (December 1, 2022): 1–19. http://dx.doi.org/10.1155/2022/3573608.

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Direct usage of construction plans as input for structural analyses assumes the reference configuration to match the engineering drawings. However, the built construction is typically supposed to match the construction plans after its successful erection. In that state, the structure is usually already subjected to self-weight and maybe other loadings. Consequently, an analysis approach is necessary to find the unknown reference configuration for a given, desired deformed structural shape. The standard static problem needs to be reformulated with the reference coordinates being the unknown variables. This work describes the necessary steps for geometrically and materially nonlinear truss elements based on the variation of reference strategy (VaReS) and gives a highly detailed description of all resultant system derivatives. Arbitrary hyperelastic material laws can be applied of which this work introduces the St. Venant-Kirchhoff, the Neo-Hookean, and the Ogden law. Additionally, the self-weight load case is considered, increasing the problem’s nonlinearity. Finally, two- and three-dimensional structural problems are presented to show the solution capabilities, ranging from simple 3-bar systems to larger framework bridges. While all necessary vectors and matrices are discussed and presented in great detail, a publicly available GitHub repository makes the code freely accessible as Python code.
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Upadhyay, A. K., and K. K. Shukla. "Geometrically nonlinear static and dynamic analysis of functionally graded skew plates." Communications in Nonlinear Science and Numerical Simulation 18, no. 8 (August 2013): 2252–79. http://dx.doi.org/10.1016/j.cnsns.2012.12.034.

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Akbaş, Şeref Doğuşcan. "Geometrically Nonlinear Static Analysis of Edge Cracked Timoshenko Beams Composed of Functionally Graded Material." Mathematical Problems in Engineering 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/871815.

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Geometrically nonlinear static analysis of edge cracked cantilever Timoshenko beams composed of functionally graded material (FGM) subjected to a nonfollower transversal point load at the free end of the beam is studied with large displacements and large rotations. Material properties of the beam change in the height direction according to exponential distributions. The cracked beam is modeled as an assembly of two subbeams connected through a massless elastic rotational spring. In the study, the finite element of the beam is constructed by using the total Lagrangian Timoshenko beam element approximation. The nonlinear problem is solved by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. The convergence study is performed for various numbers of finite elements. In the study, the effects of the location of crack, the depth of the crack, and various material distributions on the nonlinear static response of the FGM beam are investigated in detail. Also, the difference between the geometrically linear and nonlinear analysis of edge cracked FGM beam is investigated in detail.
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Park, Kyusic, and Matthew S. Allen. "Quasi-static modal analysis for reduced order modeling of geometrically nonlinear structures." Journal of Sound and Vibration 502 (June 2021): 116076. http://dx.doi.org/10.1016/j.jsv.2021.116076.

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Berry, D. T., and T. Y. Yang. "Simplified lattice beam elements for geometrically nonlinear static,dynamic, and postbuckling analysis." AIAA Journal 24, no. 8 (August 1986): 1346–47. http://dx.doi.org/10.2514/3.9441.

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Dissertations / Theses on the topic "Geometrically nonlinear static analyses"

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Isoldi, Liércio André. "Análise estática e dinâmica de estruturas delgadas de materiais compostos laminados incluindo materiais piezelétricos." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2008. http://hdl.handle.net/10183/14378.

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Sabe-se que materiais compostos laminados são, hoje em dia, geralmente usados nas indústrias aeronáutica, aeroespacial, naval e outras, principalmente por causa de suas atrativas propriedades se comparadas aos materiais isotrópicos, como alta rigidez/peso, alta resistência, alto amortecimento e boas propriedades relacionadas ao isolamento térmico e acústico, entre outras. Porém, o comportamento de estruturas feitas de materiais compostos pode ser aperfeiçoado através da utilização de materiais inteligentes. Dentre os diferentes tipos comercialmente disponíveis de materiais inteligentes, os materiais piezelétricos são amplamente usados como sensores e atuadores para o monitoramento e controle de estruturas. O efeito piezelétrico direto define que uma deformação mecânica aplicada ao material é convertida em uma carga elétrica. Por outro lado, o efeito piezelétrico inverso define que um potencial elétrico aplicado ao material é convertido em deformação mecânica. Estes efeitos governam a interação eletromecânica nos materiais piezelétricos. O Método dos Elementos Finitos, uma ferramenta amplamente reconhecida e poderosa para a análise de estruturas complexas, é capaz de realizar a integração dos componentes inteligentes e das partes estruturais clássicas. Sendo assim, o comportamento estático e dinâmico, linear e geometricamente não-linear, de estruturas compostas laminadas delgadas com lâminas piezelétricas incorporadas é analisado neste trabalho usando o Método dos Elementos Finitos (MEF). Elementos triangulares, chamados GPL-T9, com três nós e seis graus de liberdade por nó (três componentes de deslocamento e três de rotação) e um grau de liberdade por camada piezelétrica (potencial elétrico) são usados. Para a análise estática não-linear as equações de equilíbrio são solucionadas usando o Método do Controle de Deslocamentos Generalizados (MCDG) enquanto a solução dinâmica é obtida usando o Método de Newmark com Formulação Lagrangeana Atualizada (FLA). O sistema de equações é resolvido usando o Método dos Gradientes Conjugados (MGC) e nos casos não-lineares um esquema iterativo-incremental é empregado. Diversos exemplos numéricos são apresentados e comparados com resultados obtidos por outros autores com diferentes tipos de elementos e diferentes formulações. A concordância entre estes resultados demonstra a validade e a eficácia dos modelos desenvolvidos.
It is well known that laminate composite materials are nowadays commonly used in the aeronautical, aerospace, naval and other industries mainly because their attractive properties as compared to isotropic materials, such as higher stiffness/weight, higher strength, higher damping and good properties related to thermal or acoustic isolation, among others. However, the behavior of structures made of composite materials can be improved using smart materials. Among several kinds of commercially available smart materials, the piezoelectric materials are widely used as sensors and actuators for the monitoring and control of structures. The direct piezoelectric effect states that a mechanical strain applied to the material is converted to an electric charge. On the other hand, the converse piezoelectric effect states that an electric potential applied to the material is converted to mechanical strain. These effects govern the electromechanical interaction in piezoelectric materials. The finite element method, a widely accepted and powerful tool for analyzing complex structures, is capable of dealing with the integration of smart components and classic structural parts. So, linear and geometrically nonlinear static and dynamic behavior of thin laminate composite structures embedded with piezoelectric layers are analyzed in this work using the Finite Element Method (FEM). Triangular elements, called GPL-T9, with three nodes and six degrees of freedom per node (three displacement and three rotation components) and one degree of freedom per piezoelectric layer (electrical potential) are used. For static analysis the nonlinear equilibrium equations are solved using the Generalized Displacement Control Method (GDCM) while the dynamic solution is performed using the classical Newmark Method with an Updated Lagrangean Formulation (ULF). The system of equations is solved using the Gradient Cojugate Method (GCM) and in nonlinear cases an iterative-incremental scheme is employed. Several numerical examples are presented and compared with results obtained by other authors with different kind of elements and different schemes. The agreement among these results demonstrates the validity and effectiveness of the developed models.
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Providas, Efthimios. "On the geometrically nonlinear constant moment triangle (with a note on drilling rotations)." Thesis, Brunel University, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.277518.

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Jurík, Michal. "Lávky pro pěší tvořené plochým obloukem." Doctoral thesis, Vysoké učení technické v Brně. Fakulta stavební, 2012. http://www.nusl.cz/ntk/nusl-392287.

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This doctoral thesis focuses on the research of the pedestrian bridges formed by the flat arch. To understand the basic static behaviour of the flat arch it was necessary to make a study of the development of the direct flat arch as footbridge with large span and the impact of stiffness on its camber. For the mathematical modeling FEM software ANSYS were used. The calculation has shown that a design of purely concrete flat arch would demand enormous bending stiffness, which can be achieved only through a massive cross-section. The findings gained in this chapter were further used to design a unique pedestrian bridge formed by the curved in plan flat arch, where to transfer of the large bending moments a steel pipe was designed. Several variants with different span and rise of the arch in plan were tested. From the tested variants was then selected footbridge with a span of 45 m and with the rise of the arch 10 m, which seemed to be the best solution according to the calculations and it was further analyzed in detail. The studied structure is formed by curved concrete slab that is stiffened through the steel brackets on the inner side of a steel tube with a graded thickness. The external cables that are situated in the handrail pipe balance the dead load torsional moment. Designed structure and the static analysis procedure were verified on a fully functional 1:6 scale model. The thesis describes the model analogy used for the design of the model, its structural design and its implementation. Load tests on the model confirmed correctness of the design of the proposed curved in plan pedestrian bridge, its high carrying capacity and the accuracy of the developed procedure of static analysis. Results and experiences acquired from the design and the realization of model are the basis for a practical realization of studied structures. The last part of the thesis deals with the possibility of replacement of the steel components with concrete in pedestrian bridges formed
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Shi, Guangyu. "Nonlinear static and dynamic analyses of large-scale lattice-type structures and nonlinear active control by piezo actuators." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/19176.

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Cevik, Deniz. "Determination Of The Change In Building Capacity During Earthquakes." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/12607085/index.pdf.

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There is a great amount of building stock built in earthquake regions where earthquakes frequently occur. It is very probable that such buildings experience earthquakes more than once throughout their economic life. The motivation of this thesis arose from the lack of procedures to determine the change in building capacity as a result of prior earthquake damage. This study focuses on establishing a method that can be employed to determine the loss in the building capacity after experiencing an earthquake. In order to achieve this goal a number of frames were analyzed under several randomly selected earthquakes. Nonlinear time-history analyses and nonlinear static analyses were conducted to assess the prior and subsequent capacities of the frames under consideration. The structural analysis programs DRAIN-2DX and SAP2000 were employed for this purpose. The capacity curves obtained by these methods were investigated to propose a procedure by which the capacity of previously damaged structures can be determined. For time-history analyses the prior earthquake damage can be taken into account by applying the ground motion histories successively to the structure under consideration. In the case of nonlinear static analyses this was achieved by modifying the elements of the damaged structure in relation to the plastic deformation they experience. Finally a simple approximate procedure was developed using the regression analysis of the results. This procedure relies on the modification of the structure stiffness in proportion to the ductility demand the former earthquake imposes. The proposed procedures were applied to an existing 3D building to validate their applicability.
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Bolander, Julie Christine. "Investigation of Torsional Effects on Thirteen-Story Reinforced Concrete Frame-Wall Structure Modeled in ETABS and SAP2000 Using Linear and Nonlinear Static and Dynamic Analyses." Thesis, University of California, San Diego, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=1557303.

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The primary objective of this thesis is to evaluate the effects of torsion on the nonlinear seismic response of a thirteen-story reinforced concrete frame-wall structure with an asymmetric stiffness in plan. The NEHRP building structure, located in Berkeley, CA and previously designed by André Barbosa, was modeled in ETABS and SAP2000 to perform several analyses. The models accounted for realistic cracked concrete section stiffnesses, expected material properties, and nonlinear plastic hinges. Due to limitations of ETABS in performing nonlinear dynamic time history analysis, the model was exported to SAP2000. An asymmetric lateral stiffness model was created by moving one of the shear walls from the center of the building toward the outside of the building. OpenSees was used to find the nonlinear hinge moment-rotation relationships.

Using a suite of seven ground motion record pairs, an essentially linear dynamic time history analysis was performed on the symmetric and asymmetric ETABS models. The SAP2000 models were used to perform a series of nonlinear static (pushover) analyses. Fully nonlinear, including material and geometric nonlinearity, time history analyses were performed on the SAP2000 models using the seven ground motion pairs, appropriately cut to shorter lengths to reduce the analysis run-time. In each analysis case, the results of the symmetric and asymmetric models were compared. Overall, the asymmetric model typically experienced torsional effects and larger displacement responses than the symmetric model. The more nonlinear the structure behaved, the more influence torsion had on the response of the model with asymmetrically-placed shear walls.

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Zong-LiHong and 洪宗立. "Geometrically Nonlinear Static Analysis of an Embedded Multi-Walled Carbon Nanotube." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/9ay34m.

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碩士
國立成功大學
土木工程學系
105
Based on Reissner’s mixed variational theorem (RMVT), rather than the principle of virtual displacement (PVD), we present a nonlocal Timoshenko beam theory (TBT) for the geometrically nonlinear static analysis of multi-walled carbon nanotubes (MWCNT) embedded in an elastic medium. The embedded MWCNT is subjected to mechanical loads on its outer-most surface, with combinations of simply-supported and clamped edge conditions. The van der Waals interaction between any pair of walls constituting the MWCNT is considered, and the interaction between the MWCNT and its surrounding medium is simulated using the Pasternak-type foundation model. In the formulation, the governing equations of a typical wall and the associated boundary conditions are derived, in which von Karman geometrical nonlinearity is considered. Eringen’s nonlocal elasticity theory is used to account for the small length scale effect. The deformations induced in the embedded MWCNT are obtained using the differential quadrature method and a direct iteration approach.
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Tsao, Cheng-pang, and 曹正邦. "Geometrically Nonlinear Dynamic Analyses of Three-Dimensional Cables." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/e6bes8.

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碩士
國立臺灣科技大學
營建工程系
94
Cables usually exhibit geometrically nonlinear behavior under large deformation. A cable with sag is modeled by an truss with an equivalent modulus of elasticity in simplified analyses; but the cable deformation can not be determined. This study adopts Three-Dimensional elastic catenary cable elements in the finite element formulation of an cable to simulate its initial mode shape, nonlinear static behavior and nonlinear dynamic behavior. This paper also analyses three kinds of cable resonance. In the future, cable-stayed bridges will be analysed by the proposed approach.
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Maio, Rui André Simões Dias. "Earthquake risk mitigation of urban cultural heritage assets." Doctoral thesis, 2020. http://hdl.handle.net/10773/30549.

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The present thesis aims at contributing for the study of the seismic vulnerability assessment of urban cultural heritage assets, and subsequently, for the earthquake risk mitigation in historic centres, through the investigation of the eventual correlation between analytical and semiempirical methods, that could possibly lead to the development of a new hybrid approach. Hence, in Chapter 1, the framework of the main topic of the thesis, and the respective aims and motivations, are presented and briefly discussed, along with the outline and organisation of the document, as well as the list of publications that support the work carried out in this thesis. Chapter 2 provides a comprehensive literature review on disaster risk mitigation of UCH assets located in historic centres, by means of adopting a holistic framework about the features of such a complex system. This exercise is fundamental to understand the current streams of thought and to identify new gaps and opportunities that could eventually enhance the knowledge level on this particular field of research. Chapter 3 discusses some of the main challenges associated with survey and inspection techniques for input data acquisition of UCH assets, with particular focus to the investigation of assets located in historic centres, which are most likely enclosed in aggregate. In a second moment, the main challenges concerning the seismic response assessment of UCH assets are discussed, namely focusing on the pros and cons of macroelement approaches. Chapter 4 presents the main findings of a cost-benefit analysis model applied to investigate the integration of traditional seismic strengthening solutions in the rehabilitation of UCH assets. While in a first phase, only the economic viability of using such strengthening solutions was investigated, in a second phase, a cost-benefit model is applied to four different case studies considered representative of both rural and urban masonry building typologies of Faial island, in Azores. Chapter 5 presents the investigation of the correlation between two well-known approaches for the seismic risk assessment of UCH assets in historic centres: the “vulnerability index” method and the seismic “capacity curve” derived by using a simplified numerical model together with a nonlinear static procedure. Finally, Chapter 6 summarises the key conclusions that have been pointed out in the previous chapters of the thesis and outlines the grounds of future developments and research paths.
A presente tese tem por objetivo contribuir para o estudo da avaliação da vulnerabilidade sísmica de edifícios urbanos antigos, e subsequentemente, para a mitigação do risco sísmico em centros históricos, através da investigação da eventual correlação entre métodos analíticos e semiempíricos, que possa levar ao desenvolvimento de uma nova abordagem híbrida. Assim, no Capítulo 1, é feita uma breve contextualização do tópico principal da tese e dos respetivos objectivos e motivações, sendo ainda apresentada a estrutura e organização do documento, assim como a lista das publicações que suportam o trabalho aqui desenvolvido. O Capítulo 2 apresenta uma revisão exaustiva da literatura, de forma a que se possam identificar não só as atuais linhas de investigação neste tópico, mas também lacunas na investigação e eventuais janelas de oportunidade para melhorar o conhecimento científico nesta área específica. No Capítulo 3 são discutidos alguns dos principais desafios associados com as técnicas de inspecção e diagnóstico de edifícios urbanos antigos, com foco para as particularidades dos edifícios integrados em agregados urbanos. Numa segunda fase, são também discutidos os desafios associados à avaliação da resposta sísmica de edifícios urbanos antigos, nomeadamente no que diz respeito às vantagens e limitações da utilização de métodos analíticos baseados em abordagens por macrolementos. O Capítulo 4 apresenta a análise custo-benefício associada à adopção de soluções tradicionais de reforço sísmico na reabilitação de edifícios urbanos antigos. Se numa primeira fase, é analisada, de forma isolada, a viabilidade dessas soluções de reforço, num segundo momento, é aplicado um modelo de análise custobenefício a quatro casos de estudo considerados representativos, quer do edificado rural quer do edificado urbano da ilha do Faial, nos Açores. O Capítulo 5 apresenta o estudo da correlação entre duas abordagens reconhecidas internacionalmente para a avaliação do risco sísmico de edifícios de alvenaria localizados em centros históricos: o método do “índice de vulnerabilidade” e a “curva de capacidade” resultante da utilização de um modelo numérico simplificado juntamente com uma abordagem estática não-linear. Finalmente, no Capítulo 6, são resumidas as principais conclusões de cada um dos capítulos anteriores, assim como as principais linhas orientadoras para novos desenvolvimentos e trabalhos futuros.
Programa Doutoral em Engenharia Civil
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Books on the topic "Geometrically nonlinear static analyses"

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Dumanoğlu, A. Aydın. Kemer barajların lineer ve lineer olmayan statik ve dinamik analizi =: Linear and nonlinear static and dynamic analyses of arch dams. Maslak, İstanbul: Türkiye Deprem Vakfı, 1998.

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Book chapters on the topic "Geometrically nonlinear static analyses"

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Yang, Lan, Changchuan Xie, Deli Liang, and Chao An. "Geometrically Nonlinear Static Aeroelastic Analysis Based on CFD/CSD Interaction Accelerated by Panel Method." In Lecture Notes in Electrical Engineering, 324–36. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-7652-0_31.

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Dănilă, Gabriel. "Assessment of Nonlinear Static Analyses on Irregular Building Structures." In Seismic Behaviour and Design of Irregular and Complex Civil Structures III, 153–62. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-33532-8_13.

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Zirpoli, Adalgisa, and Stefano Farina. "Advanced Constitutive Laws for Nonlinear Static Analyses of Masonry Structures." In Lecture Notes in Civil Engineering, 978–97. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-21187-4_86.

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Lagomarsino, Sergio, Daniela Camilletti, Serena Cattari, and Salvatore Marino. "Seismic Assessment of Existing Irregular Masonry Buildings by Nonlinear Static and Dynamic Analyses." In Recent Advances in Earthquake Engineering in Europe, 123–51. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-75741-4_5.

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Kaushik, Snehal, and Kaustubh Dasgupta. "Seismic Behaviour of RC Slab–Shear Wall Assemblage Using Nonlinear Static and Dynamic Analyses." In Lecture Notes in Civil Engineering, 219–31. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0365-4_19.

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"Nonlinear Static Analysis Method." In Structural Dynamics and Static Nonlinear Analysis From Theory to Application, 285–344. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-4399-3.ch011.

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This chapter presents the nonlinear static methods of analyses for seismic design of structures considered by Eurocode 8. The first method is the nonlinear pushover procedure, which is based on the N2 method. The second method is the classical nonlinear time history analysis. The first method is studied in more detail, because the second method is a well-established procedure whose only drawback is the time necessary for the analyses. Nonlinear solvers and procedure in program Z_Soil are described. After a simple nonlinear SDOF application, a test-bed application consisting of an existing two-story reinforced concrete building in Bonefro, Italy is used to compare the two nonlinear procedures. The selected building is representative of typical residential building construction in Italy in the 1970s and 1980s. The aim of this chapter section is to compare 2D and 3D procedures implemented in Z_Soil software. The second example is a 14-story reinforced concrete building designed according to the Algerian code using Sap2000 software.
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"Co-rotational FEM for fast geometrically nonlinear static and dynamic algorithms." In Research and Applications in Structural Engineering, Mechanics and Computation, 199–200. CRC Press, 2013. http://dx.doi.org/10.1201/b15963-87.

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Fava, M., E. Stievanin, F. da Porto, and C. Modena. "Comparison results between linear dynamic and nonlinear static analyses for an historical RC frame." In Structural Analysis of Historical Constructions: Anamnesis, Diagnosis, Therapy, Controls, 1721–27. CRC Press, 2016. http://dx.doi.org/10.1201/9781315616995-232.

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Fava, M., M. Munari, F. da Porto, and C. Modena. "Seismic vulnerability assessment of existing masonry buildings by nonlinear static analyses and fragility curves." In Brick and Block Masonry, 2409–16. CRC Press, 2016. http://dx.doi.org/10.1201/b21889-297.

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Fava, M., M. Munari, F. Da Porto, and C. Modena. "Seismic vulnerability assessment of existing masonry buildings by nonlinear static analyses and fragility curves." In Brick and Block Masonry, 2409–16. CRC Press, 2016. http://dx.doi.org/10.1201/b21889-315.

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Conference papers on the topic "Geometrically nonlinear static analyses"

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Durmaz, Seher, and Metin O. Kaya. "Geometrically Nonlinear Vibration Analysis of Thin-Walled Composite Beams." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-64129.

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In this study, accounting for large displacements a geometrically nonlinear theory, which is valid for laminated thin-walled composite beams of open and closed cross sections, is developed. The beam model incorporates a number of non-classical effects such as material anisotropy, transverse shear deformation and warping restraint. Moreover, the directionality property of thin-walled composite beams produces a wide range of elastic couplings. In this respect, symmetric lay-up configuration i.e. Circumferentially Asymmetric Stiffness (CAS) is adapted to this model to generate coupled motion of flapwise bending-torsion-flapwise transverse shear. Initially, free vibration analyses are carried out for the linear model of the shearable and the non-shearable thin-walled composite beams. Similar to the linear model, the displacement-based nonlinear equations are derived by the variational formulation, considering the geometric non-linearity in the von Karman sense. Finally, the static and the dynamic analyses for the nonlinear beam model are carried out addressing the effects of transverse shear, fiber-orientation and sweep angle on the nonlinear frequencies and the static response of the beam.
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YEOM, CHAN, and ANTHONY VIZZINI. "Quasi-static analysis of peeling process using geometrically nonlinear finite element model." In 32nd Structures, Structural Dynamics, and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1991. http://dx.doi.org/10.2514/6.1991-1004.

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Hrinda, G. A. "Geometrically nonlinear static analysis of 3D trusses using the arc-length method." In CMEM 2007. Southampton, UK: WIT Press, 2007. http://dx.doi.org/10.2495/cmem070261.

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Alamo, Fredy Coral, and Hans Ingo Weber. "Dynamics of Beams Using a Geometrically Exact Elastic Rod Approach." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95158.

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The dynamics of a long slender beam, intrinsically straight, is addressed systematically for 3-D problems using the Cosserat rod theory. The model developed allows for bending, extension/compression and torsion, thus enabling the study of the dynamics of various types of elastic deformations. In this work a linear constitutive relation is used, also, the Bernoulli hypothesis is considered and the shear deformations are neglected. The fundamental problem when using any finite element (FE) formulation is the choice of the displacement functions. When using Cosserat rod theory this problem is handled using approximate solutions of the nonlinear equations of motion (in quasi-static sense). These nonlinear displacement functions are functions of generic nodal displacements and rotations. Based on the Lagrangian approach formed by the kinetic and strain energy expressions, the principle of virtual work is used to derive the nonlinear ordinary differential equations of motion that are solved numerically. As an application, a curved rod, formed by many straight elements is investigated numerically. When using the Cosserat rod approach, that take into account all the geometric nonlinearities in the rod, the higher accuracy of the dynamic responses is achieved by dividing the system into a few elements which is much less than the traditional FE methods, this is the main advantage when using this approach. Overall, the Cosserat model provides an accurate way of modelling long slender beams and simulation times are greatly reduced through this approach.
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Alijani, F., and M. Amabili. "Nonlinear Parametric Instability of Functionally Graded Rectangular Plates in Thermal Environments." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-89140.

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Geometrically nonlinear parametric instability of functionally graded (FG) rectangular plates in thermal environments is investigated via multi-modal energy approach. Nonlinear higher-order shear deformation theory is used and the nonlinear response to in-plane static and harmonic excitation in the frequency neighbourhood of twice the fundamental frequency is investigated. The boundary conditions are assumed to be simply supported movable. The plate displacements and rotations are expanded in terms of double series trigonometric functions and Lagrange equations are used to reduce the energy functional to a system of infinite nonlinear ordinary differential equations with time varying coefficients, and quadratic and cubic nonlinearities. In order to obtain the complete dynamic scenario, numerical analyses are carried out by means of pseudo arc length continuation and collocation technique to obtain frequency-amplitude and force-amplitude relations in the presence of temperature variation in the thickness direction. The effect of volume fraction exponent as well as temperature variation on the on-set of instability for both static and periodic in-plane excitation are fully discussed and the post-critical nonlinear responses are obtained.
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de Paor, Caitri´ona, Denis Kelliher, Kevin Cronin, and William M. D. Wright. "The Computation of Accurate Buckling Pressures of Imperfect Thin-Walled Cylinders." In ASME 2010 Pressure Vessels and Piping Division/K-PVP Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/pvp2010-25806.

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The buckling capacity of thin cylindrical shells subject to uniform external pressure is investigated in this paper. Thin cylindrical shells are known to be highly sensitive to geometric and material imperfections such as wall thickness variation, non-circularity and random geometric imperfections. The effect of imperfection on the buckling load is studied using finite element (FE) models and laboratory experiments. Imperfection measurements are taken on small scale steel cans and these measurements are modelled and analysed using a geometrically nonlinear static finite element analysis. The cans are then tested in the laboratory and the results compared with those predicted by the FE models and theory.
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Umeda, Hiroki, and Hirohisa Noguchi. "Structural Optimization of Buckling Load in Fluid-Structure Interaction Problems." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32545.

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This paper presents a procedure for the sensitivity analysis of buckling load in fluid-structure interaction problems. In the formulation, the buckling of thin structures subjected to the pressure of viscous flow is modeled, where the geometrically nonlinear equation and the Navier-Stokes equation should be considered. These equations are solved by the strong coupling formulation and the Newton-Raphson method. In order to confirm the validity of this procedure, the arch subjected to only the static pressure of fluid is analyzed. Finally, simple optimization considering fluid-structure interaction is performed using the calculated sensitivity along with the steepest descend method and the satisfactory result is obtained.
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Kobayashi, Takaya, and Tomotaka Ogasawara. "Post-Buckling Analyses of Elastic Circular Cylindrical Shells Under Axial Compression." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71532.

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In the design of a modern lightweight structure, it is of technical importance to assure its safety against the buckling under the applied loading conditions. For this issue, the determination of the critical load in an ideal condition is not sufficient, but it is further required to clarify the post-buckling behavior, that is, the behavior of the structure after passing through the critical load. One of the reasons is to estimate the effect of practically unavoidable imperfections on the critical load and the second is to evaluate the ultimate strength to exploit the load-carrying capacity of the structure. For the buckling problem of circular cylindrical shells under axial compression, a number of experimental and theoretical studies have been made by many researchers. In the case of the very thin shell that exhibits elastic buckling, experimental results show that after the primary buckling, secondary buckling takes place accompanying successive reductions in the number of the circumferential waves in each mode change on one-by-one step. In this paper we traced this successive buckling of circular cylindrical shells using some of the general purpose implicit FEM codes currently available. For geometrically nonlinear static problems including buckling and post-buckling, we carried out our studies with two approaches; one is to use the arc length method (the modified Riks method), and the other is stabilizing with the aid of (artificial) damping especially for the local instability. Our analysis procedure consists of the following 2 steps. Before reaching the point exhibiting the comparatively stable state after the primary buckling, the arc length method is applied. After that point, the artificial damping is applied. The results simulate unstable successive buckling and show good agreement with experiments.
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Chiorean, Cosmin G., and Marius S. Buru. "Second-order flexibility-based model for nonlinear inelastic analysis of composite steel-concrete frameworks with partial composite action and semi-rigid connections." In 12th international conference on ‘Advances in Steel-Concrete Composite Structures’ - ASCCS 2018. Valencia: Universitat Politècnica València, 2018. http://dx.doi.org/10.4995/asccs2018.2018.7213.

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This paper presents an efficient computer method for large deflection distributed plasticity analysis of 3D semi-rigid composite steel-concrete frameworks. A novel second-order inelastic flexibility-based element has been developed by combining the Maxwell-Mohr rule and the second-order force based functions for computation of the generalized displacements. The proposed model allows explicit and efficient modeling of the combined effects of nonlinear geometrical effects, gradual spread-of-plasticity, partial shear connection of composite beams, finite-size joints and joint flexibility by using only one 2-noded beam-column element per physical member. For composite beams, based on elasto-plastic cross-sectional analyses the model is able to take into account the effects of partial composite action between the concrete slab and the steel beam. At the cross-sectional level the proposed method addresses computational efficiency through the use of path integral approach to numerical integration of the cross-sectional nonlinear characteristics and residual stresses, enabling in this way the accurate geometrical specifications and precise modeling of cross-sections. The proposed nonlinear analysis formulation has been implemented in a general nonlinear static purpose computer program, NEFCAD. Several computational examples are given to validate the accuracy and efficiency of the proposed method.
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Orynyak, Igor, Igor Burak, Sergiy Okhrimchuk, Andrii Novikov, and Andrii Pashchenko. "Assessment of Stress-Displacement State of Cable Suspended Pipeline Bridge During Inspection Pig Motion." In 2016 11th International Pipeline Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/ipc2016-64197.

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Designing and maintenance of pipeline cable bridge with dynamic loads is complex because this problem belongs to the geometrically nonlinear problems. Analysis shown that existing mathematics models of cables have restrictions in use and we can’t use these cable models for dynamic loads calculations of cable-suspended pipeline bridge. Movement, produced by motion of inspection pig inside pipeline is an example of such dynamic loads. During its motion through the pipeline cable bridge the inspection pig induces additional stresses in pipeline due its weight and finite velocity which induces the vibration of the bridge. Its stress state assessment requires a lot of modeling, measuring and calculating actions to be done. First of all the initial static stress state of the cable bridge should be evaluated. It depends on the existing tension forces in the cable elements. They approximately were derived from the optical measurement of their geometrical curvatures with accounting for known weight density of the cables. Then, existing software tool for piping stress calculation “3D Pipe Master”, which operates by 12 degrees of freedom in pipe elements, was modernized to be able to take into account the geometrically nonlinear behavior of 6 d.o.f. cable elements. The equations which relate the elongations and rotations of cable elements with tension forces in cables are written in the form convenient for application of the transfer matrix method in the linearized iteration procedure which adjusts the measured displacements of the elements of the bridge with calculated one. In this way the initial tension forces in cables, in particular, and the bridge state, in general were determined. The dynamic part of the problem is solved by expansion in terms of natural frequencies eigenfunctions. Given inspection pig velocity calculation allows to determine the time dependence of generalized loads for each of natural vibration mode as product of the pig weight multiplied by mode shape displacement in point of pig position at the given time moment. Eventually the technique of Duhamel integral is used to calculate the dynamic behavior of the bridge for each natural mode of vibration. Two examples of dynamic stress calculation are considered. First is primitive one and relate to calculation joint interaction pipeline and cable system at dynamic loading. The second example concerns dynamic calculation pipeline cable bridge through the river Svicha during movement inspection pig. This bridge consists of two support, two parallel pipelines (1220×15) with bends and cable system. Analysis shown possibility uses “3D Pipe Master” software for the solving problems of durability pipeline cable bridge any complexity in the conditions of static and dynamic loading.
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