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Computational Statics and Dynamics : An Introduction Based on the Finite Element Method / by Andreas Öchsner.

Springer Nature - Springer Mathematics and Statistics eBooks 2023 English International Available online

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Format:
Book
Author/Creator:
Öchsner, Andreas, author.
Language:
English
Subjects (All):
Mathematics--Data processing.
Mathematics.
Mechanics, Applied.
Solids.
Condensed matter.
Numerical analysis.
Mechanics.
Computational Mathematics and Numerical Analysis.
Solid Mechanics.
Condensed Matter Physics.
Numerical Analysis.
Classical Mechanics.
Local Subjects:
Computational Mathematics and Numerical Analysis.
Solid Mechanics.
Condensed Matter Physics.
Numerical Analysis.
Classical Mechanics.
Physical Description:
1 online resource (723 pages)
Edition:
3rd ed. 2023.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2023.
Summary:
This book is the 3rd edition of an introduction to modern computational mechanics based on the finite element method. This third edition is largely extended, adding many new examples to let the reader understand the principles better by performing calculations by hand, as well as numerical example to practice the finite element approach to engineering problems. The new edition comes together with a set of digital flash cards with questions and answers that improve learning success. Featuring over 100 more pages, the new edition will help students succeed in mechanics courses by showing them how to apply the fundamental knowledge they gained in the first years of their engineering education to more advanced topics. In order to deepen readers’ understanding of the equations and theories discussed, each chapter also includes supplementary problems. These problems start with fundamental knowledge questions on the theory presented in the respective chapter, followed by calculation problems. In total, over 80 such calculation problems are provided, along with brief solutions for each.
Contents:
Introduction to the Finite Element Method
Rods and Trusses
Euler-Bernoulli Beams and Frames
Timoshenko Beams
Plane Elements
Classical Plate Elements
Three-Dimensional Elements
Principles of Linear Dynamics
Integration Methods for Transient Problems
Appendix A: Mathematics
Appendix B: Mechanics
Appendix C: Units and Conversion
Appendix D: Summary of Stiffness Matrices.
Notes:
Includes index.
ISBN:
3-031-09673-8

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