Overview
- 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
Part of the book series: Springer Series in Solid and Structural Mechanics (SSSSM, volume 13)
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Table of contents (10 chapters)
Keywords
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.
Authors and Affiliations
About the authors
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
DOI: https://doi.org/10.1007/978-3-030-55889-5
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-55888-8Published: 26 November 2020
Softcover ISBN: 978-3-030-55891-8Published: 27 November 2021
eBook ISBN: 978-3-030-55889-5Published: 25 November 2020
Series ISSN: 2195-3511
Series E-ISSN: 2195-352X
Edition Number: 2
Number of Pages: XV, 464
Number of Illustrations: 17 b/w illustrations, 272 illustrations in colour
Topics: Solid Mechanics, Building Construction and Design, Computational Mathematics and Numerical Analysis