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Dissertations / Theses on the topic 'Thin elastic plates'

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Published: 18 May 2024

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1

Datta, Sripati. "Some linear and nonlinear problems of thin elastic plates placed on elastic foundation." Thesis, University of North Bengal, 1999. http://ir.nbu.ac.in/handle/123456789/664.

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2

Chanda, Subhash. "Static and dynamic behaviour of thin elastic and elastic plastic plates and shells." Thesis, University of North Bengal, 1996. http://hdl.handle.net/123456789/631.

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3

Pal, Archana. "Large deflections of thin elastic plates and shellsq." Thesis, University of North Bengal, 2002. http://hdl.handle.net/123456789/1043.

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4

De, Bruin P. D. (Peter Douglas). "Experimental determination of the effective elastic constants of thin perforated plates." Thesis, Stellenbosch : Stellenbosch University, 1989. http://hdl.handle.net/10019.1/66862.

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5

Lin, Bo Carleton University Dissertation Engineering Mechanical. "Non-selfadjoint vibration, control and stability of thin elastic rectangular plates." Ottawa, 1993.

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6

Kossovich, Elena. "Explicit models for flexural edge and interfacial waves in thin elastic plates." Thesis, Brunel University, 2011. http://bura.brunel.ac.uk/handle/2438/6505.

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In the thesis explicit dual parabolic-elliptic models are constructed for the Konenkov flexural edge wave and the Stoneley-type flexural interfacial wave in case of thin linearly elastic plates. These waves do not appear in an explicit form in the original equations of motion within the framework of the classical Kirchhoff plate theory. The thesis is aimed to highlight the contribution of the edge and interfacial waves into the overall displacement field by deriving specialised equations oriented to aforementioned waves only. The proposed models consist of a parabolic equation governing the wave propagation along a plate edge or plate junction along with an elliptic equation over the interior describing decay in depth. In this case the parabolicity of the one-dimensional edge and interfacial equations supports flexural wave dispersion. The methodology presented in the thesis reveals a dual nature of edge and interfacial plate waves contrasting them to bulk-type wave propagating in thin elastic structures. The thesis tackles a number of important examples of the edge and interfacial wave propagation. First, it addresses the propagation of Konenkov flexural wave in an elastic isotropic plate under prescribed edge loading. For the latter, parabolic-elliptic explicit models were constructed and thoroughly investigated. A similar problem for a semi-infinite orthotropic plate resulted in a more general dual parabolic-elliptic model. Finally, an anal- ogous model was derived and analysed for two isotropic semi-infinite Kirchhoff plates under perfect contact conditions.
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7

Glandier, Christian Y. "Wave-vector analysis of the vibrations of thin cylindrical shells." Thesis, Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/16797.

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8

Tsang, Chee-Fon. "The isoparametric boundary element analysis of thin and thick plates on an elastic foundation." Thesis, Cranfield University, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.362645.

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9

Koduru, Hari Kishan. "Effects of rotational elastic edge supports on buckling and free vibration of thin rectangular plates." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape8/PQDD_0003/MQ46586.pdf.

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10

Fadhil, Sarab Akram. "Boundary element analysis of thin and thick plates resting on a two-parameter elastic foundation." Thesis, Cranfield University, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386199.

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11

Al-Hosani, Khaleel Ibrahim Abdulla. "Stress analysis of thin and thick plates on elastic foundations using boundary and finite element methods." Thesis, Cranfield University, 1991. http://hdl.handle.net/1826/3523.

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In this work an attempt has been made to derive a full finite element and boundary element theory for the analysis of thin and thick plates on elastic foundations. A new high order shear finite element capable of the analysis of thin thick plates has been derived using Hermitian and Lagrangian shape functions. Different new boundary element derivations for the analysis of thin plates on elastic foundations are introduced using 3 degrees-of-freedom per node. A full new derivation of boundary elements for thick plates on elastic foundations using complex Bessel functions is presented. Fourier and Hankel integral transforms have been employed for the derivation of different fundamental solutions required for boundary element analysis. Several techniques for dealing with singular and divergent integrals encountered with boundary integral equations were developed including the use of "Modified Kelvin Functions" and fictitious boundary concept. some case studies with different loading and boundary conditions were tested and proved that the new derivations presented in this work are correct and reliable for the analysis of thin and thick plates on elastic foundations.
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12

Bangemann, Tim Richard. "Nonlinear finite element treatment of bifurcation in the post-buckling analysis of thin elastic plates and shells." Thesis, Brunel University, 1995. http://bura.brunel.ac.uk/handle/2438/6362.

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The geometrically nonlinear constant moment triangle based on the von Karman theory of thin plates is first described. This finite element, which is believed to be the simplest possible element to pass the totality of the von Karman patch test, is employed throughout the present work. It possesses the special characteristic of providing a tangent stiffness matrix which is accurate and without approximation. The stability of equilibrium of discrete conservative systems is discussed. The criteria which identify the critical points (limit and bifurcation), and the method of determination of the stability coefficients are presented in a simple matrix formulation which is suitable for computation. An alternative formulation which makes direct use of higher order directional derivatives of the total potential energy is also presented. Continuation along the stable equilibrium solution path is achieved by using a recently developed Newton method specially modified so that stable points are points of attraction. In conjunction with this solution technique, a branch switching method is introduced which directly computes any intersecting branches. Bifurcational buckling often exhibits huge structural changes and it is believed that the computation of the required switch procedure is performed here, and for the first time, in a satisfactory manner. Hence, both limit and bifurcation points can be treated without difficulty and with continuation into the post buckling regime. In this way, the ability to compute the stable equilibrium path throughout the load-deformation history is accomplished. Two numerical examples which exhibit bifurcational buckling are treated in detail and provide numerical evidence as to the ability of the employed techniques to handle even the most complex problems. Although only relatively coarse finite element meshes are used it is evident that the technique provides a powerful tool for any kind of thin elastic plate and shell problem. The thesis concludes with a proposal for an algorithm to automate the computation of the unknown parameter in the branch switching method.
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13

SUBRAMANIAN, BALAKRISHNAN. "GEOMETRICALLY NONLINEAR ANALYSIS OF THIN ARBITRARY SHELLS USING DISCRETE-KIRCHHOFF CURVED TRIANGULAR ELEMENTS (FINITE)." Diss., The University of Arizona, 1985. http://hdl.handle.net/10150/188101.

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The research work presented here deals with the problems of geometrically nonlinear analysis of thin shell structures. The specific objective was to develop geometrically nonlinear formulations, using Discrete-Kirchhoff Curved Triangular (DKCT) thin shell elements. The DKCT elements, formulated in the natural curvilinear coordinates, based on arbitrary deep shell theory and representing explicit rigid body modes, were successfully applied to linear elastic analysis of composite shells in an earlier research work. A detailed discussion on the developments of classical linear and nonlinear shell theories and the Finite Element applications to linear and nonlinear analysis of shells has been presented. The difficulties of developing converging shell elements due to Kirchhoff's hypothesis have been discussed. The importance of formulating shell elements based on deep shell theory has also been pointed out. The development of shell elements based on Discrete-Kirchhoff's theory has been discussed. The development of a simple 3-noded curved triangular thin shell element with 27 degrees-of-freedom in the tangent and normal displacements and their first-order derivatives, formulated in the natural curvilinear coordinates and based on arbitrary deep shell theory, has been described. This DKCT element has been used to develop geometrically nonlinear formulation for the nonlinear analysis of thin shells. A detailed derivation of the geometrically nonlinear (GNL) formulation, using the DKCT element based on the Total Lagrangian approach and the principles of virtual work has been presented. The techniques of solving the nonlinear equilibrium equations, using the incremental methods has been described. This includes the derivation of the Tangent Stiffness matrix. Various Newton-Raphson solution algorithms and the associated convergence criteria have been discussed in detail. Difficulties of tracing the post buckling behavior using these algorithms and hence the necessity of using alternative techniques have been mentioned. A detailed numerical evaluation of the GNL formulation has been carried out by solving a number of standard problems in the linear buckling and GNL analysis. The results compare well with the standard solutions in linear buckling cases and are in general satisfactory for the GNL analysis in the region of large displacements and small rotations. It is concluded that this simple and economical element will be an ideal choice for the expensive nonlinear analysis of shells. However, it is suggested that the element formulation should include large rotations for the element to perform accurately in the region of large rotations.
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14

Wang, Lehua. "Elastoplastic analyses of multiple cracks in thin sheets, and of elliptical cracks in 3D bodies." Diss., Georgia Institute of Technology, 1996. http://hdl.handle.net/1853/11781.

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15

Williams, A. F. "The elastic stability of thin-walled folded-plate simple and multi-celled structures." Thesis, University of Manchester, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.234218.

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16

Marsden, Craig D. "A study of the boundary value problems for the bending of a thin elastic plate lying on an elastic foundation." Thesis, University of Strathclyde, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.415304.

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17

Drinali, Hayat. "Full-range axisymmetric elasto-plastic large deflection of circular and annular plates under transverse, in-plane and combined loading." Thesis, Lancaster University, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.254094.

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18

Ahmed, Mustofa N. "A Study of Guided Ultrasonic Wave Propagation Characteristics in Thin Aluminum Plate for Damage Detection." University of Toledo / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1387732124.

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19

Ti-Cheng, Chen, and 陳狄成. "Analysis of Large Deformation of the Elastic Simply Support Overhang Thin Plates." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/59599247230289794919.

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碩士
大葉大學
機械工程研究所
82
The major concern of this study is the small strain, large deformation of elastic thin plates. To analyze various behavious of a simply support overhang plate under a regional, evenly distributed load.The influence of the load on the stress, the strain,the clamping force and the in plane force are studied. The theories of Von Karman and Berger are used to derive the governing equations and mathematical equations for the physical quantities for both small deflections and large deflections. The polar coordinate model of the finite difference method are used to analyze the behaviours of axis- symmetric circular plates. The results are very close to what could be obtained by the exact theoretical analysis. It can be shown from these results for small deflections, that the radial stress and strain of a simply supported point have their maximum negative values. Also, the radial strain and circumferential strain are very small. As concerning non-linear .Alpha. values, the smaller the value of .Alpha., the larger the deflection. Theoretically the blank-holder force can be assumed to be linearly distributed; however in order to require a zero clearance between the thin plate and the die set. The adjustment for the distribution of Blank-holden force must be concerned. The results for large deflections are similar to that for small deflections. However, in order to get higher accuracy, for large deflections, the membrane strain should be considered.
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20

Yang, Shih-Hong, and 楊士弘. "Dynamic Analysis of Thin Plates on Winkler Elastic Foundation by Using SCM." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/26687642067567586572.

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碩士
國立臺灣大學
土木工程學研究所
99
The application of winkler elastic foundation plate is very general, because of its widely used in various types of structures, the research of its mechanical behavior under loading is essential, in the past, many Scholars just studied this problem, in this paper, we just presented an alternative numerical method to analyze issues which called SCM (Spline Collocation Method), applied it into various types of problems such as static problems, free vibration and dynamic response. SCM is based on spline function, combined with knots collocation. After we getting system’s govern equation, withing B spline table and system’s boundary condition, this method can discrete system to receive approximation solutions. This article will use winkler elastic foundation plate’s G.E. and apply it into all kinds of mechanics problems. Combined with the process of solving the SCM, using program to analysis questions. Finally, this paper just used another engineering software analysis results compared with SCM. We can obtain and confirm SCM is a high-accuracy, convenience and can be developed numerical method.
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21

林敬三. "The interference between tow adjacent piezoelectric thin plates on semi-infinite elastic solid." Thesis, 1992. http://ndltd.ncl.edu.tw/handle/08208901354642732288.

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22

Wei, Leo-shin, and 韋柳新. "Nondestructive Determination of Elastic Constants of Thin Plates and Coatings Based on PVDF Copolymer Focusing Ultrasound Transducers and Lamb Wave Measurements." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/01179935499938683204.

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碩士
國立成功大學
機械工程學系碩博士班
96
This thesis investigates a nondestructive method for determining elastic constants of a thin plate using ultrasound transducers and Lamb wave measurements. The samples under consideration are thin plates of thickness from 100 to 500 micrometers and coating layer of thickness 20 ~ 40 micrometers. The goal is to develop a fast and easily implemented method for accurate measurements of all elastic constants of the plates and the coatings. Due to the nature of thin plates, Lamb waves are chosen and the dispersion curves of Lamb waves are used for the purpose of inversely determination of elastic constants. Focusing ultrasound transducers and V(f,z) defocusing measurement methods are applied for measuring the dispersion curves of thin plates and coatings over a wide range of frequency spectrum. To achieve high accuracy and wideband measurements of Lamb waves, several lensless PVDF focusing transducers are fabricated. The transducers are prepared using spin-coated copolymer P(VDF-TrFE) on aluminum backing and following by electrical poling processes. With a wide range of operating frequency from 5 MHz up to 110 MHz, a defocusing and V(f,z) measurement system is constructed which allows quick and complete measurements of Lamb wave dispersion curves. For the determination of elastic constants from measured Lamb wave dispersion curves, numerical calculation and digital image process are performed. Thin glass and stainless steel plates and coatings are measured and both Young’s modulus and Poisson’s ratio are successfully determined from few low order fundamental modes of Lamb waves. Discussions on the measurement accuracy as well as potential applications for other types of nondestructive evaluation using the proposed PVDF transducers and measurement system will be addressed.
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23

Yang, Shui-Shen, and 楊水勝. "A study on the behavior of constrained thin elastic plate under lateral displacement loading." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/65977555775640042985.

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碩士
國立交通大學
機械工程系所
96
The objective of this paper is to investigate the behavior of constrained thin elastic plate under lateral displacement loading. The geometrically nonlinear behaviors of thin shell are investigated using the co-rotational finite element formulation and a incremental-iterative method. An incremental-iterative method based on the Newton-Raphson method and constant arc-length method is used for solving nonlinear equilibrium equations. Numerical analysis is carried out to simulate an experiment of the constrained thin elastic plate under lateral displacement loading reported in the literature. The complete equilibrium path and the variation of distributed reaction are obtained. The transition of the deformation patterns is investigated and compared with the experimental and analytical result in the literature. The influence of the variance of lateral displacement loading point and that of the structural boundaries conditions on the transition of the deformation patterns is also investigated.
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24

Chun-ChangLai and 賴俊彰. "Computation of 2D Transient Elastic Waves in Thin Plate with Free Surface by BEM and OpenMP." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/61765049364763076358.

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碩士
國立成功大學
數學系應用數學碩博士班
102
This paper considers an elastic thin plate with free surface subject to a symmetric sinusoidal loading. Boundary element method (BEM) and numerical methods developed in is used to compute transient waves The main purposes are to: 1.Compute the displacement of elastic waves in a thin plate which can be used for further study 2.Improve computation efficiency to cover a wider range of problems This paper incorporates OpenMP, an industrial application interface for parallel computing, to the programming. The work done here then extends existing codebase to handle computation-heavier problems.
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