文档介绍：A VARIATIONAL
APPROACH
TO STRUCTURAL
ANALYSIS
DAVID V. WALLERSTEIN
A Wiley-Interscience Publication
JOHN WILEY & SONS, INC.
A VARIATIONAL
APPROACH
TO STRUCTURAL
ANALYSIS
Copyright © 2002 by John Wiley & Sons, New York. All rights reserved.
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To Christina and Edward
CONTENTS
PREFACE xi
1 INTRODUCTION 1
2 PRELIMINARIES 7
Variational Notation / 7
The Gradient / 10
Integration by Parts / 11
Stokes’s Theorem / 13
Green’s Theorem in the Plane / 15
Adjoint Equations / 16
Meaning of ∇2 / 19
Total Differentials / 20
Legendre Transformation / 21
Lagrange Multipliers / 24
Differential Equations