Statics and Influence Functions

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.

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

Autorentext

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.

Inhalt
Foundation.- Betti's Theorem.- Finite Elements.- Betti Extended.- Stiffness Changes and Reanalysis.- Singularities.- Mixed formulations.- Nonlinear Problems.