The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are: β’ Weighted residual methods and Galerkin approximations, β’ A model problem for one-dimensional linear
A Primer for Finite Elements in Elastic Structures
β Scribed by W. F. Carroll
- Publisher
- Wiley
- Year
- 1998
- Tongue
- English
- Leaves
- 508
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
A thorough guide to the fundamentals--and how to use them--of finite element analysis for elastic structuresFor elastic structures, the finite element method is an invaluable tool which is used most effectively only when one understands completely each of its facets. A Primer for Finite Elements in Elastic Structures disassembles the entire finite element method for civil engineering students and professionals, detailing its supportive theory and its mathematical and structural underpinnings, in the context of elastic structures and the principle of virtual work.The book opens with a discussion of matrix algebra and algebraic equation systems to foster the basic skills required to successfully understand and use the finite element method. Key mathematical concepts outlined here are joined to pertinent concepts from mechanics and structural theory, with the method constructed in terms of one-dimensional truss and framework finite elements. The use of these one-dimensional elements in the early chapters promotes better understanding of the fundamentals. Subsequent chapters describe many two-dimensional structural finite elements in depth, including the geometry, mechanics, transformations, and mapping needed for them.Most chapters end with questions and problems which review the text material. Answers for many of these are at the end of the book. An appendix describes how to use MATLAB(r), a popular matrix-manipulation software platform necessary to perform the many matrix operations required for the finite element method, such as matrix addition, multiplication, inversion, partitioning, rearrangement, and assembly. As an added extra, the m-files discussed can be downloaded from the Wiley FTP server.
β¦ Subjects
ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ°;ΠΡΡΠΈΡΠ»ΠΈΡΠ΅Π»ΡΠ½Π°Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ°;ΠΠ΅ΡΠΎΠ΄ ΠΊΠΎΠ½Π΅ΡΠ½ΡΡ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠ²;
π SIMILAR VOLUMES
<p><p>The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are:</p><p>(1) Weighted residual methods and Galerkin approximations,</p><p>(2) A model problem for one-dimension
<span>Finite Element Analysis, </span><span>second edition is a comprehensive guide that explores the versatility and affordability of the finite element method (FEM) as a powerful tool for solving engineering problems across various industries. This book provides a practical introduction to FEM ana