Увійти

Готові списки джерел за темами / Carrera Unified Formulation / Статті в журналах

Статті в журналах з теми "Carrera Unified Formulation"

Щоб переглянути інші типи публікацій з цієї теми, перейдіть за посиланням: Carrera Unified Formulation.

Автор: Grafiati

Опубліковано: 14 березня 2023

Оформте джерело за APA, MLA, Chicago, Harvard та іншими стилями

Оберіть тип джерела:

Ознайомтеся з топ-50 статей у журналах для дослідження на тему "Carrera Unified Formulation".

Біля кожної праці в переліку літератури доступна кнопка «Додати до бібліографії». Скористайтеся нею – і ми автоматично оформимо бібліографічне посилання на обрану працю в потрібному вам стилі цитування: APA, MLA, «Гарвард», «Чикаго», «Ванкувер» тощо.

Також ви можете завантажити повний текст наукової публікації у форматі «.pdf» та прочитати онлайн анотацію до роботи, якщо відповідні параметри наявні в метаданих.

Переглядайте статті в журналах для різних дисциплін та оформлюйте правильно вашу бібліографію.

1

Pagani, A., M. Petrolo, and E. Carrera. "Dynamic response of laminated and sandwich composite structures via 1D models based on Chebyshev polynomials." Journal of Sandwich Structures & Materials 21, no. 4 (July 7, 2017): 1428–44. http://dx.doi.org/10.1177/1099636217715582.

Повний текст джерела

Анотація:

This article presents the dynamic response of composite structures via refined beam models. The mode superposition method was used, and the Carrera Unified Formulation was exploited to create the advanced structural models. The finite element method was employed to compute the natural frequencies and modes. The main novelty of this article concerns the use of Chebyshev polynomials to define the displacement field above the cross-section of the beam. In particular, polynomials of the second kind were adopted, and the results were compared with those from analytical solutions and already established Carrera Unified Formulation-based beam models, which utilize Taylor and Lagrange polynomials to develop refined kinematics theories. Sandwich beams and laminated, thin-walled box beams were considered. Non-classical effects such as the cross-section distortion and bending/torsion coupling were evaluated. The results confirm the validity of the Carrera Unified Formulation for the implementation of refined structural models with any expansion functions and orders. In particular, the Chebyshev polynomials provide accuracies very similar to those from Taylor models. The use of high-order expansions, e.g. seventh-order, leads to results as accurate as those of Lagrange models which, from previous publications, are known as the most accurate Carrera Unified Formulation 1D models for this type of structural problems.

Стилі APA, Harvard, Vancouver, ISO та ін.

2

Carrera, Erasmo, and Enrico Zappino. "Carrera Unified Formulation for Free-Vibration Analysis of Aircraft Structures." AIAA Journal 54, no. 1 (January 2016): 280–92. http://dx.doi.org/10.2514/1.j054265.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

3

Bharati, Raj B., M. Filippi, Prashanta K. Mahato, and E. Carrera. "Flutter analysis of laminated composite structures using Carrera Unified Formulation." Composite Structures 253 (December 2020): 112759. http://dx.doi.org/10.1016/j.compstruct.2020.112759.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

4

Arruda, M. R. T., L. M. S. Castro, A. J. M. Ferreira, D. Martins, and J. R. Correia. "Physically non-linear analysis of beam models using Carrera Unified Formulation." Composite Structures 195 (July 2018): 60–73. http://dx.doi.org/10.1016/j.compstruct.2018.03.107.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

5

Carrera, E., M. Filippi, and E. Zappino. "Free vibration analysis of rotating composite blades via Carrera Unified Formulation." Composite Structures 106 (December 2013): 317–25. http://dx.doi.org/10.1016/j.compstruct.2013.05.055.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

6

Ribeiro, Marcelo L., Gregório F. O. Ferreira, Ricardo de Medeiros, António J. M. Ferreira, and Volnei Tita. "Experimental and numerical dynamic analysis of laminate plates via Carrera Unified Formulation." Composite Structures 202 (October 2018): 1176–85. http://dx.doi.org/10.1016/j.compstruct.2018.05.085.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

7

Yan, Yang, Erasmo Carrera, Alfonso Pagani, Ibrahim Kaleel, and Alberto Garcia de Miguel. "Isogeometric analysis of 3D straight beam-type structures by Carrera Unified Formulation." Applied Mathematical Modelling 79 (March 2020): 768–92. http://dx.doi.org/10.1016/j.apm.2019.11.003.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

8

Arruda, M. R. T., L. M. S. Castro, A. J. M. Ferreira, M. Garrido, J. Gonilha, and J. R. Correia. "Analysis of composite layered beams using Carrera unified formulation with Legendre approximation." Composites Part B: Engineering 137 (March 2018): 39–50. http://dx.doi.org/10.1016/j.compositesb.2017.10.040.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

9

Carrera, Erasmo, Enrico Zappino, and Guohong Li. "Analysis of beams with piezo-patches by node-dependent kinematic finite element method models." Journal of Intelligent Material Systems and Structures 29, no. 7 (October 23, 2017): 1379–93. http://dx.doi.org/10.1177/1045389x17733332.

Повний текст джерела

Анотація:

This article presents a family of one-dimensional finite element method models with node-dependent kinematics for the analysis of beam structures with piezo-patches. The models proposed are built by applying Carrera unified formulation. Carrera unified formulation permits to obtain finite element method stiffness matrices through so-called fundamental nuclei whose form is independent of the assumptions made for the displacement/electrical field over the cross section of a beam. In the previous works, uniform kinematic assumptions have been applied to all the nodes within the same element. The present contribution proposes to use different kinematics on different nodes, leading to node-dependent kinematic finite element method formulations. In such an approach, non-uniform cross sections introduced by piezo-patches can be considered. With the help of layer-wise models, piezoelectric and mechanical domains each can possess individual constitutive relations. Meanwhile, node-dependent kinematics can integrate equivalent single layer models and layer-wise models to reach an optimal balance between accuracy and use of computational resources. Static governing equations for beam elements with node-dependent kinematics accounting for electromechanical effects are derived from the principle of virtual displacements. The competence of the proposed approach is validated by comparing the obtained results with solutions taken from the literature and ABAQUS three-dimensional modelling. Both extension and shear actuation mechanisms are considered.

Стилі APA, Harvard, Vancouver, ISO та ін.

10

Ferreira, A. J. M., C. M. C. Roque, E. Carrera, M. Cinefra, and O. Polit. "Two higher order Zig-Zag theories for the accurate analysis of bending, vibration and buckling response of laminated plates by radial basis functions collocation and a unified formulation." Journal of Composite Materials 45, no. 24 (May 10, 2011): 2523–36. http://dx.doi.org/10.1177/0021998311401103.

Повний текст джерела

Анотація:

In this article, we combine the Carrera's Unified Formulation, CUF (Carrera E. Theories and Finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking. Arch. Comput. Methods Eng., 2003; 10: 215–297.) and a radial basis function collocation technique for predicting the static deformations, free vibrations and buckling behavior of thin and thick cross-ply laminated plates. We develop by the CUF two Zig-Zag theories according to Murakami's Zig-Zag function. Both theories account for through-the-thickness deformations, allowing the analysis of thick plates. The accuracy and efficiency of this collocation technique for static, vibration, and buckling problems are demonstrated through numerical examples.

Стилі APA, Harvard, Vancouver, ISO та ін.

11

Kumar, S. Keshava, Dineshkumar Harursampath, Erasmo Carrera, Maria Cinefra, and Stefano Valvano. "Modal analysis of delaminated plates and shells using Carrera Unified Formulation – MITC9 shell element." Mechanics of Advanced Materials and Structures 25, no. 8 (April 27, 2017): 681–97. http://dx.doi.org/10.1080/15376494.2017.1302024.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

12

Pagani, A., and E. Carrera. "Large-deflection and post-buckling analyses of laminated composite beams by Carrera Unified Formulation." Composite Structures 170 (June 2017): 40–52. http://dx.doi.org/10.1016/j.compstruct.2017.03.008.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

13

Wu, B., A. Pagani, M. Filippi, W. Q. Chen, and E. Carrera. "Large-deflection and post-buckling analyses of isotropic rectangular plates by Carrera Unified Formulation." International Journal of Non-Linear Mechanics 116 (November 2019): 18–31. http://dx.doi.org/10.1016/j.ijnonlinmec.2019.05.004.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

14

Petrolo, M., MH Nagaraj, E. Daneshkhah, R. Augello, and E. Carrera. "Static analysis of thin-walled beams accounting for nonlinearities." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 236, no. 6 (October 14, 2021): 2967–80. http://dx.doi.org/10.1177/09544062211032997.

Повний текст джерела

Анотація:

This paper presents numerical results concerning the nonlinear analysis of thin-walled isotropic structures via 1 D structural theories built with the Carrera Unified Formulation (CUF). Both geometrical and material nonlinearities are accounted for, and square, C- and T-shaped beams are considered. The results focus on equilibrium curves, displacement, and stress distributions. Comparisons with literature and 3 D finite elements (FE) are provided to assess the formulation’s accuracy and computational efficiency. It is shown how 1 D models based on Lagrange expansions of the displacement field are comparable to 3 D FE regarding the accuracy but require considerably fewer degrees of freedom.

Стилі APA, Harvard, Vancouver, ISO та ін.

15

Ramos, I. A., J. L. Mantari, and A. M. Zenkour. "Laminated composite plates subject to thermal load using trigonometrical theory based on Carrera Unified Formulation." Composite Structures 143 (May 2016): 324–35. http://dx.doi.org/10.1016/j.compstruct.2016.02.020.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

16

De Miguel, A. G., M. Cinefra, M. Filippi, A. Pagani, and E. Carrera. "Validation of FEM models based on Carrera Unified Formulation for the parametric characterization of composite metamaterials." Journal of Sound and Vibration 498 (April 2021): 115979. http://dx.doi.org/10.1016/j.jsv.2021.115979.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

17

Mantari, J. L., I. A. Ramos, E. Carrera, and M. Petrolo. "Static analysis of functionally graded plates using new non-polynomial displacement fields via Carrera Unified Formulation." Composites Part B: Engineering 89 (March 2016): 127–42. http://dx.doi.org/10.1016/j.compositesb.2015.11.025.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

18

Viola, Erasmo, Francesco Tornabene, and Nicholas Fantuzzi. "Stress and Strain Recovery of Laminated Composite Doubly-Curved Shells and Panels Using Higher-Order Formulations." Key Engineering Materials 624 (September 2014): 205–13. http://dx.doi.org/10.4028/www.scientific.net/kem.624.205.

Повний текст джерела

Анотація:

The present paper investigates the static behaviour of doubly-curved laminated composite shells and panels. A two dimensional Higher-order Equivalent Single Layer approach, based on the Carrera Unified Formulation (CUF), is proposed. The differential geometry is used for the geometric description of shells and panels. The numerical solution is calculated using the generalized differential quadrature method. The through-the-thickness strains and stresses are computed using a three dimensional stress recovery procedure based on the shell equilibrium equations. Sandwich panels are considered with soft cores. The numerical results are compared with the ones obtained with a finite element code. The proposed higher-order formulations can be used for solving elastic problems involved in the first stage of any scientific procedure of analysis and design of masonry structures.

Стилі APA, Harvard, Vancouver, ISO та ін.

19

Carrera, E., A. Pagani, and J. R. Banerjee. "Linearized buckling analysis of isotropic and composite beam-columns by Carrera Unified Formulation and dynamic stiffness method." Mechanics of Advanced Materials and Structures 23, no. 9 (March 9, 2016): 1092–103. http://dx.doi.org/10.1080/15376494.2015.1121524.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

20

Petrolo, M. "Flutter analysis of composite lifting surfaces by the 1D Carrera Unified Formulation and the doublet lattice method." Composite Structures 95 (January 2013): 539–46. http://dx.doi.org/10.1016/j.compstruct.2012.06.021.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

21

Carrera, E., M. Petrolo, and P. Nali. "Unified Formulation Applied to Free Vibrations Finite Element Analysis of Beams with Arbitrary Section." Shock and Vibration 18, no. 3 (2011): 485–502. http://dx.doi.org/10.1155/2011/706541.

Повний текст джерела

Анотація:

This paper presents hierarchical finite elements on the basis of the Carrera Unified Formulation for free vibrations analysis of beam with arbitrary section geometries. The displacement components are expanded in terms of the section coordinates, (x, y), using a set of 1-D generalized displacement variables. N-order Taylor type expansions are employed. N is a free parameter of the formulation, it is supposed to be as high as 4. Linear (2 nodes), quadratic (3 nodes) and cubic (4 nodes) approximations along the beam axis, (z), are introduced to develop finite element matrices. These are obtained in terms of a few fundamental nuclei whose form is independent of both N and the number of element nodes. Natural frequencies and vibration modes are computed. Convergence and assessment with available results is first made considering different type of beam elements and expansion orders. Additional analyses consider different beam sections (square, annular and airfoil shaped) as well as boundary conditions (simply supported and cantilever beams). It has mainly been concluded that the proposed model is capable of detecting 3-D effects on the vibration modes as well as predicting shell-type vibration modes in case of thin walled beam sections.

Стилі APA, Harvard, Vancouver, ISO та ін.

22

Daraei, Behnam, Saeed Shojaee, and Saleh Hamzehei-Javaran. "Analysis of stationary and axially moving beams considering functionally graded material using micropolar theory and Carrera unified formulation." Composite Structures 271 (September 2021): 114054. http://dx.doi.org/10.1016/j.compstruct.2021.114054.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

23

Mantari, J. L., I. A. Ramos, and A. M. Zenkour. "A Unified Formulation for Laminated Composite and Sandwich Plates Subject to Thermal Load Using Various Plate Theories." International Journal of Applied Mechanics 08, no. 08 (December 2016): 1650087. http://dx.doi.org/10.1142/s1758825116500873.

Повний текст джерела

Анотація:

This paper proposes several normalized and non-normalized displacement fields based on hybrid and trigonometric hyperbolic shear strain shape functions in order to solve the analytical thermoelastic problem of simply-supported laminated composite and sandwich plates using the Carrera unified formulation (CUF) as strategy. The equivalent single layer (ESL) governing equations for laminated composite plate are obtained by employing the principle of virtual displacement (PVD) and are solved using Navier’s method solution. Linear and nonlinear temperature distributions through the plate thickness are taken into account. A hybrid and trigonometric hyperbolic shear strain shape functions are introduced in normalized and non-normalized form in the mathematical model. The obtained results are compared with the classical polynomial ones for several order of expansion. Interesting approximations with 3D solution are shown for low and high order of expansion.

Стилі APA, Harvard, Vancouver, ISO та ін.

24

Fallahi, Nasim, Andrea Viglietti, Erasmo Carrera, Alfonso Pagani, and Enrico Zappino. "EFFECT OF FIBER ORIENTATION PATH ON THE BUCKLING, FREE VIBRATION, AND STATIC ANALYSES OF VARIABLE ANGLE TOW PANELS." Facta Universitatis, Series: Mechanical Engineering 18, no. 2 (July 29, 2020): 165. http://dx.doi.org/10.22190/fume200615026f.

Повний текст джерела

Анотація:

In this work, the effect of the fiber orientation on the mechanical response of variable angle tow (VAT) panels is investigated. A computationally efficient high-order one-dimensional model, derived under the framework of the Carrera unified formulation (CUF), is used. In detail, a layerwise approach is adopted to predict the complex phenomena that may appear in VAT panels. Static, free-vibration and buckling analyses are performed, considering several material properties, geometries, and boundary conditions, and the results are assessed with those obtained using existing approaches. Considering the findings of the comparative analysis, several best design practices are suggested to improve the mechanical performances of VAT panels.

Стилі APA, Harvard, Vancouver, ISO та ін.

25

Arruda, M. R. T., Mário Garrido, L. M. S. Castro, A. J. M. Ferreira, and J. R. Correia. "Numerical modelling of the creep behaviour of GFRP sandwich panels using the Carrera Unified Formulation and Composite Creep Modelling." Composite Structures 183 (January 2018): 103–13. http://dx.doi.org/10.1016/j.compstruct.2017.01.074.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

26

Rezaei, A. S., and A. R. Saidi. "Application of Carrera Unified Formulation to study the effect of porosity on natural frequencies of thick porous–cellular plates." Composites Part B: Engineering 91 (April 2016): 361–70. http://dx.doi.org/10.1016/j.compositesb.2015.12.050.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

27

Carrera, Erasmo, Munise Didem Demirbas, and Riccardo Augello. "Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions." Applied Sciences 11, no. 22 (November 11, 2021): 10627. http://dx.doi.org/10.3390/app112210627.

Повний текст джерела

Анотація:

In this study, the geometrically nonlinear behaviour caused by large displacements and rotations in the cross sections of thin-walled composite beams subjected to axial loading is investigated. Newton–Raphson scheme and an arc length method are used in the solution of nonlinear equations by finite element method to determine the mechanical effect. The Carrera-Unified formulation (CUF) is used to solve nonlinear, low or high order kinematic refined structure theories for finite beam elements. In the study, displacement area and stress distributions of composite structures with different angles and functionally graded (FG) structures are presented for Lagrange polynomial expansions. The results show the accuracy and computational efficiency of the method used and give confidence for new research.

Стилі APA, Harvard, Vancouver, ISO та ін.

28

Alesadi, Amirhadi, Marzieh Galehdari, and Saeed Shojaee. "Free vibration and buckling analysis of composite laminated plates using layerwise models based on isogeometric approach and Carrera unified formulation." Mechanics of Advanced Materials and Structures 25, no. 12 (October 20, 2017): 1018–32. http://dx.doi.org/10.1080/15376494.2017.1342883.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

29

CARRERA, E., S. LECCA, P. NALI, and M. SOAVE. "INFLUENCE OF IN-PLANE AXIAL AND SHEAR LOADING ON THE VIBRATION OF METALLIC PLATES." International Journal of Applied Mechanics 03, no. 03 (September 2011): 447–67. http://dx.doi.org/10.1142/s175882511100107x.

Повний текст джерела

Анотація:

This work deals with the vibration problem of metallic plates subjected to combined axial, biaxial and shear in-plane loading. Various type of boundary conditions are considered. Results related to thin plate theories and shear deformation theories are compared to a third-order plate theory including the thickness stretching effects. The Finite Element Method (FEM) is applied on the basis of Carrera Unified Formulation kinematic assumptions. FE matrices are computed by referring to the four-node element. The mixed interpolation of tensorial components technique is used in order to contrast the shear locking for both classical and refined theories. The influence of the in-plane loading (combined axial, biaxial and shear) on plate undamped natural frequencies is illustrated and discussed. Various plate geometries and boundary conditions are considered.

Стилі APA, Harvard, Vancouver, ISO та ін.

30

Hu, Yi, Yong Zhao, and Haopeng Liang. "Refined Beam Theory for Geometrically Nonlinear Pre-Twisted Structures." Aerospace 9, no. 7 (July 6, 2022): 360. http://dx.doi.org/10.3390/aerospace9070360.

Повний текст джерела

Анотація:

This paper proposes a novel fully nonlinear refined beam element for pre-twisted structures undergoing large deformation and finite untwisting. The present model is constructed in the twisted basis to account for the effects of geometrical nonlinearity and initial twist. Cross-sectional deformation is allowed by introducing Lagrange polynomials in the framework of a Carrera unified formulation. The principle of virtual work is applied to obtain the Green–Lagrange strain tensor and second Piola–Kirchhoff stress tensor. In the nonlinear governing formulation, expressions are given for secant and tangent matrices with linear, nonlinear, and geometrically stiffening contributions. The developed beam model could detect the coupled axial, torsional, and flexure deformations, as well as the local deformations around the point of application of the force. The maximum difference between the present deformation results and those of shell/solid finite element simulations is 6%. Compared to traditional beam theories and finite element models, the proposed method significantly reduces the computational complexity and cost by implementing constant beam elements in the twisted basis.

Стилі APA, Harvard, Vancouver, ISO та ін.

31

Naderi Beni, N., and M. Botshekanan Dehkordi. "An extension of Carrera unified formulation in polar coordinate for analysis of circular sandwich plate with FGM core using GDQ method." Composite Structures 185 (February 2018): 421–34. http://dx.doi.org/10.1016/j.compstruct.2017.11.044.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

32

Zappino, Enrico, and Erasmo Carrera. "Thermo-piezo-elastic analysis of amplified piezoceramic actuators using a refined one-dimensional model." Journal of Intelligent Material Systems and Structures 29, no. 17 (August 3, 2017): 3482–94. http://dx.doi.org/10.1177/1045389x17721026.

Повний текст джерела

Анотація:

The thermo-piezo-elastic analysis of amplified piezoceramic actuators is presented in this article. A refined one-dimensional multi-field finite element model, based on the Carrera Unified Formulation, has been developed. Thermal and piezoelectric effects have been included in the structural model and a fully coupled thermo-piezo-elastic analysis has been performed. The finite element model has been assessed by comparing it with results from open literature The model has also been used to perform the analysis of complex amplified piezoceramic actuators. These actuators are able to amplify the displacements produced by piezoceramic material, but they suffer from high deformations when they undergo high thermal loads. An accurate thermal analysis has been performed to evaluate the strain/stress field. The results show the accuracy of the present model and its capabilities in multi-field analyses.

Стилі APA, Harvard, Vancouver, ISO та ін.

33

Zappino, Enrico, Guohong Li, and Erasmo Carrera. "Node-dependent kinematic elements for the dynamic analysis of beams with piezo-patches." Journal of Intelligent Material Systems and Structures 29, no. 16 (September 2018): 3333–45. http://dx.doi.org/10.1177/1045389x18798942.

Повний текст джерела

Анотація:

This article extends the use of one-dimensional elements with node-dependent kinematics to the dynamic analysis of beam structures with piezo-patches. Node-dependent kinematics allows the kinematic assumptions to be defined individually on each finite element node, leading to finite element models with variable nodal kinematics. Derived from Carrera unified formulation, node-dependent kinematics facilitates the mathematical refinement to an arbitrary order at any desirable region on the nodal level while keeping the compactness of the formulation. As an ideal approach to simulate structures with special local features, node-dependent kinematics has been employed to model piezo-patches in static cases. In this work, the application of node-dependent beam elements in dynamic problems is demonstrated. Node-dependent kinematics is applied to increase the numerical accuracy in the areas where the piezo-patches lie in through sufficiently refined models, while lower order assumptions are used elsewhere. The dissimilar constitutive relations of neighboring components are appropriately considered with layer-wise models. Both open- and short-circuit conditions are considered. The results are compared against those from literature. The numerical study shows that the adoption of node-dependent kinematics allows accurate results to be obtained at reduced computational costs.

Стилі APA, Harvard, Vancouver, ISO та ін.

34

Alesadi, Amirhadi, Sarah Ghazanfari, and Saeed Shojaee. "B-spline finite element approach for the analysis of thin-walled beam structures based on 1D refined theories using Carrera unified formulation." Thin-Walled Structures 130 (September 2018): 313–20. http://dx.doi.org/10.1016/j.tws.2018.05.016.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

35

Fallahi, Nasim. "GA Optimization of Variable Angle Tow Composites in Buckling and Free Vibration Analysis through Layerwise Theory." Aerospace 8, no. 12 (December 3, 2021): 376. http://dx.doi.org/10.3390/aerospace8120376.

Повний текст джерела

Анотація:

In the current research, variable angle tow composites are used to improve the buckling and free vibration behavior of a structure. A one-dimensional (1D) Carrera Unified Formulation (CUF) is employed to determine the buckling loads and natural frequencies in Variable Angle Tow (VAT) square plates by taking advantage of the layerwise theory (LW). Subsequently, the Genetic Algorithm (GA) optimization method is applied to maximize the first critical buckling load and first natural frequency using the definition of linear fiber orientation angles. To show the power of the genetic algorithm for the VAT structure, a surrogate model using Response Surface (RS) method was used to demonstrate the convergence of the GA approach. The results showed the cost reduction for optimized VAT performance through GA optimization in combination with the 1D CUF procedure. Additionally, a Latin hypercube sampling (LHS) method with RS was used for buckling analysis. The capability of LHS sampling confirmed that it could be employed for the next stages of research along with GA.

Стилі APA, Harvard, Vancouver, ISO та ін.

36

Yan, Yang, Alfonso Pagani, Erasmo Carrera, and Qingwen Ren. "Exact solutions for the macro-, meso- and micro-scale analysis of composite laminates and sandwich structures." Journal of Composite Materials 52, no. 22 (March 7, 2018): 3109–24. http://dx.doi.org/10.1177/0021998318761785.

Повний текст джерела

Анотація:

The present work proposes a closed-form solution based on refined beam theories for the static analysis of fiber-reinforced composite and sandwich beams under simply supported boundary conditions. The higher-order beam models are developed by employing Carrera Unified Formulation, which uses Lagrange-polynomials expansions to approximate the kinematic field over the cross section. The proposed methodology allows to carry out analysis of composite structure analysis through a single formulation in global-local sense, i.e. homogenized laminates at a global scale and fiber-matrix constituents at a local scale, leading to component-wise analysis. Therefore, three-dimensional stress/displacement fields at different scales can be successfully detected by increasing the order of Lagrange polynomials opportunely. The governing equations are derived in a strong-form and solved in a Navier-type sense. Three benchmark numerical assessments are carried out on a single-layer transversely isotropic beam, a cross-ply laminate [Formula: see text] beam and a sandwich beam. The results show that accurate displacement and stress values can be obtained in different parts of the structure with lower computational cost in comparison with traditional, enhanced as well as three-dimensional finite element methods. Besides, this study may serve as benchmarks for future assessments in this field.

Стилі APA, Harvard, Vancouver, ISO та ін.

37

Tornabene, Francesco, Nicholas Fantuzzi, and Michele Bacciocchi. "Foam core composite sandwich plates and shells with variable stiffness: Effect of the curvilinear fiber path on the modal response." Journal of Sandwich Structures & Materials 21, no. 1 (June 22, 2017): 320–65. http://dx.doi.org/10.1177/1099636217693623.

Повний текст джерела

Анотація:

This paper presents the free vibration analysis of composite sandwich plates and doubly curved shells with variable stiffness. The reinforcing fibers are located in the external skins of the sandwich structures according to curved paths. These curvilinear paths are described by a general expression that combines power-law, sinusoidal, exponential, Gaussian and ellipse-shaped functions. As a consequence, the reinforcing fibers are placed in these orthotropic layers in an arbitrary manner, in order to achieve the desired mechanical properties. The effect of this variable fiber orientation on the natural frequencies is investigated by means of several parametric studies. As far as the structural theory is concerned, an equivalent single layer approach based on the well-known Carrera Unified Formulation is employed. The Murakami’s function is added to the kinematic model to capture the zig-zag effect, when the soft-core effect is significant. Thus, several higher order shear deformation theories are taken into account in a unified manner. The differential geometry is employed to describe the reference surface of doubly curved shells and panels, which are characterized by variable radii of curvature. The numerical solution is obtained using the generalized differential quadrature method, due to its accuracy and stability features. The present solution is compared with the results available in the literature or obtained by finite element commercial codes.

Стилі APA, Harvard, Vancouver, ISO та ін.

38

Filippi, Matteo, Alfonso Pagani, and Erasmo Carrera. "Three-Dimensional Solutions for Rotor Blades Using High-Order Geometrical Nonlinear Beam Finite Elements." Journal of the American Helicopter Society 64, no. 3 (July 1, 2019): 1–10. http://dx.doi.org/10.4050/jahs.64.032005.

Повний текст джерела

Анотація:

This paper proposes a geometrically nonlinear three-dimensional formalism for the static and dynamic study of rotor blades. The structures are modeled using high-order beam finite elements whose kinematics are input parameters of the analysis. The displacement fields are written using two-dimensional Taylor- and Lagrange-like expansions of the cross-sectional coordinates. As far as the Taylor-like polynomials are concerned, the linear case is similar to the first-order shear deformation theory, whereas the higher-order expansions include additional contributions that describe the warping of the cross section. The Lagrange-type kinematics instead utilizes the displacements of certain physical points as degrees of freedom. The inherent three-dimensional nature of the Carrera unified formulation enables one to include all Green–Lagrange strain components as well as all coupling effects due to the geometrical features and the three-dimensional constitutive law. A number of test cases are considered to compare the current solutions with experimental and theoretical results reported in terms of large deflections/rotations and frequencies related to small amplitude vibrations.

Стилі APA, Harvard, Vancouver, ISO та ін.

39

Sánchez-Majano, Alberto Racionero, Rodolfo Azzara, Alfonso Pagani, and Erasmo Carrera. "Accurate Stress Analysis of Variable Angle Tow Shells by High-Order Equivalent-Single-Layer and Layer-Wise Finite Element Models." Materials 14, no. 21 (October 28, 2021): 6486. http://dx.doi.org/10.3390/ma14216486.

Повний текст джерела

Анотація:

New concepts of lightweight components are conceived nowadays thanks to the advances in the manufacture of composite structures. For instance, mature technologies such as Automatic Fibre Placement (AFP) are employed in the fabrication of structural parts where fibres are steered along curvilinear paths, namely variable angle tow (VAT), which can enhance the mechanical performance and alleviate the structural weight. This is of utmost importance in the aerospace field, where weight savings are one of the main goals. For that reason, shell structures are commonly found in the aerospace industry because of their capabilities of supporting external loadings. Straight-fibre composite shell structures have been studied in recent decades and, now, spatially varying composite shells are attracting the attention of manufacturers. This work analyses the mechanical behaviour of VAT composite shells subjected to different external loadings and boundary conditions. The Carrera Unified Formulation (CUF) is employed to obtain the different structural models in a systematic and hierarchic manner. The outcomes of such numerical models are discussed and compared with commercial software Abaqus.

Стилі APA, Harvard, Vancouver, ISO та ін.

40

Pagani, A., R. Azzara, R. Augello, E. Carrera, and B. Wu. "Accurate through-the-thickness stress distributions in thin-walled metallic structures subjected to large displacements and large rotations." Vietnam Journal of Mechanics 42, no. 3 (September 27, 2020): 239–54. http://dx.doi.org/10.15625/0866-7136/15042.

Повний текст джерела

Анотація:

The present paper presents the evaluation of three-dimensional (3D) stress distributions of shell structures in the large displacement and rotation fields. The proposed geometrical nonlinear model is based on a combination of the Carrera Unified Formulation (CUF) and the Finite Element Method (FEM). Besides, a Newton-Raphson linearization scheme is adopted to compute the geometrical nonlinear equations, which are constrained using the arc-length path-following method. Static analyses are performed using refined models and the full Green-Lagrange strain-displacement relations. The Second Piola-Kirchhoff (PK2) stress distributions are evaluated, and lower- to higher-order expansions are employed. Popular benchmarks problems are analyzed, including cylindrical isotropic shell structure with various boundary and loading conditions. Various numerical assessments for different equilibrium conditions in the moderate and large displacement fields are proposed. Results show the distribution of axial and shear stresses, varying the refinement of the proposed two-dimensional (2D) shell model. It is shown that for axial components, a lower-order expansion is sufficient, whereas a higher-order one is needed to accurately predict shear stresses.

Стилі APA, Harvard, Vancouver, ISO та ін.

41

Pagani, Alfonso, Francesco Zangallo, and Erasmo Carrera. "Influence of Non-Structural Localized Inertia on Free Vibration Response of Thin-Walled Structures by Variable Kinematic Beam Formulations." Shock and Vibration 2014 (2014): 1–16. http://dx.doi.org/10.1155/2014/141982.

Повний текст джерела

Анотація:

Variable kinematic beam theories are used in this paper to carry out vibration analysis of isotropic thin-walled structures subjected to non-structural localized inertia. Arbitrarily enriched displacement fields for beams are hierarchically obtained by using the Carrera Unified Formulation (CUF). According to CUF, kinematic fields can be formulated either as truncated Taylor-like expansion series of the generalized unknowns or by using only pure translational variables by locally discretizing the beam cross-section through Lagrange polynomials. The resulting theories were, respectively, referred to as TE (Taylor Expansion) and LE (Lagrange Expansion) in recent works. If the finite element method is used, as in the case of the present work, stiffness and mass elemental matrices for both TE and LE beam models can be written in terms of the same fundamental nuclei. The fundamental nucleus of the mass matrix is opportunely modified in this paper in order to account for non-structural localized masses. Several beams are analysed and the results are compared to those from classical beam theories, 2D plate/shell, and 3D solid models from a commercial FEM code. The analyses demonstrate the ineffectiveness of classical theories in dealing with torsional, coupling, and local effects that may occur when localized inertia is considered. Thus the adoption of higher-order beam models is mandatory. The results highlight the efficiency of the proposed models and, in particular, the enhanced capabilities of LE modelling approach, which is able to reproduce solid-like analysis with very low computational costs.

Стилі APA, Harvard, Vancouver, ISO та ін.

42

Pagani, Alfonso, Stefano Valvano, and Erasmo Carrera. "Analysis of laminated composites and sandwich structures by variable-kinematic MITC9 plate elements." Journal of Sandwich Structures & Materials 20, no. 1 (May 26, 2016): 4–41. http://dx.doi.org/10.1177/1099636216650988.

Повний текст джерела

Анотація:

In this paper, classical as well as various refined plate finite elements for the analysis of laminates and sandwich structures are discussed. The attention is particularly focussed on a new variable-kinematic plate element. According to the proposed modelling approach, the plate kinematics can vary through the thickness within the same finite element. Therefore, refined approximations and layer-wise descriptions of the primary mechanical variables can be adopted in selected portions of the structures that require a more accurate analysis. The variable-kinematic model is implemented in the framework of the Carrera unified formulation, which is a hierarchical approach allowing for the straightforward implementation of the theories of structures. In particular, Legendre-like polynomial expansions are adopted to approximate the through-the-thickness unknowns and develop equivalent single layer, layer-wise, as well as variable-kinematic theories. In this paper, the principle of virtual displacements is used to derive the governing equations of the generic plate theory and a mixed interpolation of tensorial components technique is employed to avoid locking phenomena. Various problems are addressed in order to validate and assess the proposed formulation, including multi-layer plates and sandwich structures subjected to different loadings and boundary conditions. The results are compared with those from the elasticity theory given in the literature and from layer-wise solutions. The discussion clearly underlines the enhanced capabilities of the proposed variable-kinematic mixed interpolation of tensorial component plate elements, which allows, if used properly, to obtain formally correct solutions in critical areas of the structure with a considerable reduction of the computational costs with respect to more complex, full layer-wise models. This aspect results particularly advantageous in problems where localized phenomena within complex structures play a major role.

Стилі APA, Harvard, Vancouver, ISO та ін.

43

Sanchez-Majano, Alberto Racionero, Alfonso Pagani, Marco Petrolo, and Chao Zhang. "Buckling Sensitivity of Tow-Steered Plates Subjected to Multiscale Defects by High-Order Finite Elements and Polynomial Chaos Expansion." Materials 14, no. 11 (May 21, 2021): 2706. http://dx.doi.org/10.3390/ma14112706.

Повний текст джерела

Анотація:

It is well known that fabrication processes inevitably lead to defects in the manufactured components. However, thanks to the new capabilities of the manufacturing procedures that have emerged during the last decades, the number of imperfections has diminished while numerical models can describe the ground truth designs. Even so, a variety of defects has not been studied yet, let alone the coupling among them. This paper aims to characterise the buckling response of Variable Stiffness Composite (VSC) plates subjected to spatially varying fibre volume content as well as fibre misalignments, yielding a multiscale sensitivity analysis. On the one hand, VSCs have been modelled by means of the Carrera Unified Formulation (CUF) and a layer-wise (LW) approach, with which independent stochastic fields can be assigned to each composite layer. On the other hand, microscale analysis has been performed by employing CUF-based Mechanics of Structure Genome (MSG), which was used to build surrogate models that relate the fibre volume fraction and the material elastic properties. Then, stochastic buckling analyses were carried out following a multiscale Monte Carlo analysis to characterise the buckling load distributions statistically. Eventually, it was demonstrated that this multiscale sensitivity approach can be accelerated by an adequate usage of sampling techniques and surrogate models such as Polynomial Chaos Expansion (PCE). Finally, it has been shown that sensitivity is greatly affected by nominal fibre orientation and the multiscale uncertainty features.

Стилі APA, Harvard, Vancouver, ISO та ін.

44

Petrolo, Marco, and Erasmo Carrera. "High-Fidelity and Computationally Efficient Component-Wise Structural Models: An Overview of Applications and Perspectives." Applied Mechanics and Materials 828 (March 2016): 175–96. http://dx.doi.org/10.4028/www.scientific.net/amm.828.175.

Повний текст джерела

Анотація:

The Component-Wise approach (CW) is a novel structural modeling strategy that stemmed from the Carrera Unified Formulation (CUF). This work presents an overview of the enhanced capabilities of the CW for the static and dynamic analysis of structures, such as aircraft wings, civil buildings, and composite plates. The CW makes use of the advanced 1D CUF models. Such models exploit Lagrange polynomial expansions (LE) to model the displacement field above the cross-section of the structure. The use of LE allows the improvement of the 1D model capabilities. LE models provide 3D-like accuracies with far fewer computational costs. The use of LE leads to the CW. Although LE are 1D elements, every component of an engineering structure can be modeled via LE elements independently of their geometry, e.g. 2D transverse stiffeners and panels, and of their scale, e.g. fiber/matrix cells. The use of the same type of finite elements facilitates the finite element modeling to a great extent. For instance, no interface techniques are necessary. Moreover, in a CW model, the displacement unknowns are placed along the physical surfaces of the structure with no need for artificial lines and surfaces. Such a feature is promising in a CAD/FEM coupling scenario. The CW approach can be considered as an accurate and computationally cheap analysis tool for many structural problems. Such as progressive failure analyses, multiscale, impact problems and health-monitoring.

Стилі APA, Harvard, Vancouver, ISO та ін.

45

Cinefra, M., E. Carrera, A. Lamberti, and M. Petrolo. "Best theory diagrams for multilayered plates considering multifield analysis." Journal of Intelligent Material Systems and Structures 28, no. 16 (January 30, 2017): 2184–205. http://dx.doi.org/10.1177/1045389x16679018.

Повний текст джерела

Анотація:

This work presents the best theory diagrams (BTDs) for multilayered plates involved in multifield problems (mechanical, thermal and electrical). A BTD is a curve that reports the minimum number of terms of a refined model for a given accuracy. The axiomatic/asymptotic technique is employed in order to detect the relevant terms, and the error is computed with respect to an exact or quasi-exact solution. The models that belong to the BTDs are constructed by means of a genetic algorithm and the Carrera Unified Formulation (CUF). The CUF defines the displacement field as an expansion of the thickness coordinate. The governing equations are obtained in terms of few fundamental nuclei, whose form does not depend on the particular expansion order that is employed. The Navier closed-form solution has been adopted to solve the equilibrium equations. The analyses herein reported are related to plates subjected to multifield loads: mechanical, thermal and electrical. The aim of this study is to evaluate the influence of the type of the load in the definition of the BTDs. In addition, the influence of geometry, material parameters and displacement/stress components are considered. The results suggest that the BTD and the CUF can be considered as tools to evaluate any structural theory against a reference solution. In addition, it has been found that the BTD definition is influenced to a great extent by the type of load.

Стилі APA, Harvard, Vancouver, ISO та ін.

46

Najd, Jamal, Enrico Zappino, Erasmo Carrera, Walid Harizi, and Zoheir Aboura. "A Variable Kinematic Multifield Model for the Lamb Wave Propagation Analysis in Smart Panels." Sensors 22, no. 16 (August 17, 2022): 6168. http://dx.doi.org/10.3390/s22166168.

Повний текст джерела

Анотація:

The present paper assessed the use of variable kinematic two-dimensional elements in the dynamic analysis of Lamb waves propagation in an isotropic plate with piezo-patches. The multi-field finite element model used in this work was based on the Carrera Unified Formulation which offers a versatile application enabling the model to apply the desired order theory. The used variable kinematic model allowed for the kinematic model to vary in space, thereby providing the possibility to implement a classical plate model in collaboration with a refined kinematic model in selected areas where higher order kinematics are needed. The propagation of the symmetric (S0) and the antisymmetric (A0) fundamental lamb waves in an isotropic strip was considered in both mechanical and piezo-elastic plate models. The convergence of the models was discussed for different kinematics approaches, under different mesh refinement, and under different time steps. The results were compared to the exact solution proposed in the literature in order to assess and further determine the effects of the different parameters used when dynamically modeling a Lamb wave propagating in such material. It was shown that the higher order kinematic models delivered a higher accuracy of the propagating wave evaluated using the corresponding Time Of Flight (TOF). Upon using the appropriate mesh refinement of 2000 elements and sufficient time steps of 4000 steps, the error between the TOF obtained analytically and numerically using a high order kinematics was found to be less than 1% for both types of fundamental Lamb waves S0 and A0. Node-dependent kinematics models were also exploited in wave propagation to decrease the computational cost and to study their effect on the accuracy of the obtained results. The obtained results show, in both the mechanical and the piezo-electric models, that a reduction in the computational cost of up to 50% can be easily attained using such models while maintaining an error inferior to 1%.

Стилі APA, Harvard, Vancouver, ISO та ін.

47

Carrera, E., and V. V. Zozulya. "Carrera unified formulation for the micropolar plates." Mechanics of Advanced Materials and Structures, March 23, 2021, 1–24. http://dx.doi.org/10.1080/15376494.2021.1889726.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

48

Wu, B., A. Pagani, W. Q. Chen, and E. Carrera. "Geometrically nonlinear refined shell theories by Carrera Unified Formulation." Mechanics of Advanced Materials and Structures, December 13, 2019, 1–21. http://dx.doi.org/10.1080/15376494.2019.1702237.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

49

Carrera, E., and V. V. Zozulya. "Carrera unified formulation (CUF) for the micropolar beams: Analytical solutions." Mechanics of Advanced Materials and Structures, March 12, 2019, 1–25. http://dx.doi.org/10.1080/15376494.2019.1578013.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

50

Carrera, E., and V. V. Zozulya. "Carrera unified formulation (CUF) for the shells of revolution. Numerical evaluation." Mechanics of Advanced Materials and Structures, November 29, 2022, 1–23. http://dx.doi.org/10.1080/15376494.2022.2140234.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Ми пропонуємо знижки на всі преміум-плани для авторів, чиї праці увійшли до тематичних добірок літератури. Зв'яжіться з нами, щоб отримати унікальний промокод!