A Numerical Solution for Plate Bending Problems
| Author | : D. S. Griffin |
| Publisher | : |
| Total Pages | : 58 |
| Release | : 1963 |
| Genre | : Elastic plates and shells |
| ISBN | : |
A Numerical Solution For Plate Bending Problems
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A Numerical Solution for Plate Bending Problems
| Author | : John Denison Wood |
| Publisher | : |
| Total Pages | : 330 |
| Release | : 1957 |
| Genre | : Deformations (Mechanics) |
| ISBN | : |
Plastic Bending : Theory And Applications
| Author | : T X Yu |
| Publisher | : World Scientific |
| Total Pages | : 572 |
| Release | : 1996-03-20 |
| Genre | : Technology & Engineering |
| ISBN | : 9814500402 |
From the point of view of mechanics, this monograph systematically demonstrates the theory of plastic bending and its engineering applications; most of the contents of the book are based on the authors' research in the past decade. The monograph not only expounds the contributions of the authors to the fundamental theory of plastic bending, but also presents various applications of the theory in sheet metal forming, particularly in the analysis and prediction of springback and wrinkling of strips and plates subjected to bending or stamping. In addition to theoretical modelling, attention has also been paid to the development of related numerical methods; comparisons with experimental results are also presented.
The Scaled Boundary Finite Element Method for Plate Bending Problems
| Author | : Siriporn Thongpaknum |
| Publisher | : |
| Total Pages | : |
| Release | : 2016 |
| Genre | : |
| ISBN | : |
This thesis presents an efficient and accurate semi-analytical solution procedure, based upon the scaled boundary finite element method (SBFEM), for modeling thin plates under transverse loadings and different types of boundary conditions. The key formulation is established within the framework of Kirchhoff’s plate bending theory. A standard weighted residual technique is then applied together with the discretization along the scaled boundary direction to derive the scaled boundary finite element equations. Standard implementations including the numerical integration, the determination of eigenvalues and eigenvectors, a procedure for solving a system of linear ordinary differential equations, and a linear solver are adopted to construct all involved unknown functions. An h-hierarchical adaptive procedure with the moment-recovery error estimator is also integrated into the present implementation to further enhance its computational performance and reduce meshing effort. A selected set of results is reported to demonstrate the accuracy and convergence of computed solutions and the computational performance of the developed technique.
Theory of Plates
| Author | : K. Chandrashekhara |
| Publisher | : Universities Press |
| Total Pages | : 432 |
| Release | : 2001 |
| Genre | : Plates (Engineering) |
| ISBN | : 9788173712531 |
Thin Plates and Shells
| Author | : Eduard Ventsel |
| Publisher | : CRC Press |
| Total Pages | : 683 |
| Release | : 2001-08-24 |
| Genre | : Mathematics |
| ISBN | : 0203908724 |
Presenting recent principles of thin plate and shell theories, this book emphasizes novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, new theories for the design and analysis of thin plate-shell structures, and real-world numerical solutions, mechanics, and plate and shell models for engineering applications. It includes computer processes for finite difference, finite element, boundary element, and boundary collocation methods as well as other variational and numerical methods. It also contains end-of-chapter examples and problem/solution sets, a catalog of solutions for cylindrical and spherical shells, and tables of the most commonly used plates and shells.
The Boundary Element Method for Plate Analysis
| Author | : John T. Katsikadelis |
| Publisher | : Elsevier |
| Total Pages | : 345 |
| Release | : 2014-07-16 |
| Genre | : Mathematics |
| ISBN | : 0124167446 |
Boundary Element Method for Plate Analysis offers one of the first systematic and detailed treatments of the application of BEM to plate analysis and design. Aiming to fill in the knowledge gaps left by contributed volumes on the topic and increase the accessibility of the extensive journal literature covering BEM applied to plates, author John T. Katsikadelis draws heavily on his pioneering work in the field to provide a complete introduction to theory and application. Beginning with a chapter of preliminary mathematical background to make the book a self-contained resource, Katsikadelis moves on to cover the application of BEM to basic thin plate problems and more advanced problems. Each chapter contains several examples described in detail and closes with problems to solve. Presenting the BEM as an efficient computational method for practical plate analysis and design, Boundary Element Method for Plate Analysis is a valuable reference for researchers, students and engineers working with BEM and plate challenges within mechanical, civil, aerospace and marine engineering. One of the first resources dedicated to boundary element analysis of plates, offering a systematic and accessible introductory to theory and application Authored by a leading figure in the field whose pioneering work has led to the development of BEM as an efficient computational method for practical plate analysis and design Includes mathematical background, examples and problems in one self-contained resource
Boundary Element Formulations for Thick Plates
| Author | : Youssef F. Rashed |
| Publisher | : Computational Mechanics |
| Total Pages | : 184 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : |
Plate bending problems have many applications in civil and mechanical engineering. The analysis of plates using the Boundary Element Method (BEM), however, has received little attention in existing research and literature. This book presents new Boundary Element formulations for plate bending problems in which the Reissner plate bending theory is used to model the bending behaviour of the plate. The author applies several integral equations to solve engineering problems relating to a building slab, beam, footing, and simple raft and the results are compared against analytical solutions such as a finite difference method, a finite element method and a three-dimensional boundary element method. These confirm that the Boundary Element formulations presented are a competitive alternative to existing numerical methods.
