Statics and Influence Functions
From a Modern Perspective
Authors: Hartmann, Friedel, Jahn, Peter
Free Preview- Explains how influence functions can be computed with finite elements
- Shows that finite element programs use influence functions to calculate the results
- Demonstrates how the error in the influence functions affects finite element results
Buy this book
- About this book
-
This extended and revised second edition is intended for engineering students and researchers working with finite element methods in structural and mechanical analysis. Discussing numerical structural analysis from first mechanical and mathematical principles, it establishes the central role of influence functions (Green's functions) in finite element analysis, reanalysis, sensitivity analysis, parameter identification and in optimization, with a particular focus on computational aspects and questions of accuracy. It also presents a one-click reanalysis, a new technique that allows instantaneous modifications to a structure to be made by clicking on single elements. Lastly, the book features four programs that can be downloaded for the solution of the Poisson equation, 2-D elasticity, plate-bending problems and planar frames.
- About the authors
-
Friedel Hartmann was professor for Civil Engineering at the University of Kassel, Germany. He authored the book "Greens' Functions and Finite Elements" and "Structural Analysis with Finite Elements" both published by Springer.
- Table of contents (10 chapters)
-
-
Foundation
Pages 1-80
-
Betti’s Theorem
Pages 81-148
-
Finite Elements
Pages 149-258
-
Betti Extended
Pages 259-290
-
Stiffness Changes and Reanalysis
Pages 291-359
-
Table of contents (10 chapters)
Recommended for you
Bibliographic Information
- Bibliographic Information
-
- Book Title
- Statics and Influence Functions
- Book Subtitle
- From a Modern Perspective
- Authors
-
- Friedel Hartmann
- Peter Jahn
- Series Title
- Springer Series in Solid and Structural Mechanics
- Series Volume
- 13
- Copyright
- 2021
- Publisher
- Springer International Publishing
- Copyright Holder
- The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-55889-5
- DOI
- 10.1007/978-3-030-55889-5
- Hardcover ISBN
- 978-3-030-55888-8
- Series ISSN
- 2195-3511
- Edition Number
- 2
- Number of Pages
- XV, 464
- Number of Illustrations
- 17 b/w illustrations, 272 illustrations in colour
- Topics
