Statics and Influence Functions: From a Modern Perspective

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. 


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Statics and Influence Functions: From a Modern Perspective

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. 


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Statics and Influence Functions: From a Modern Perspective

Statics and Influence Functions: From a Modern Perspective

by Friedel Hartmann, Peter Jahn
Statics and Influence Functions: From a Modern Perspective

Statics and Influence Functions: From a Modern Perspective

by Friedel Hartmann, Peter Jahn

eBook2nd ed. 2021 (2nd ed. 2021)

$119.00 

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Overview

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. 



Product Details

ISBN-13: 9783030558895
Publisher: Springer-Verlag New York, LLC
Publication date: 11/25/2020
Series: Springer Series in Solid and Structural Mechanics , #13
Sold by: Barnes & Noble
Format: eBook
File size: 137 MB
Note: This product may take a few minutes to download.

About the Author

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

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