UID:
almahu_9947366448602882
Format:
1 online resource (399 p.)
ISBN:
1-282-28909-8
,
9786612289095
,
0-08-096000-6
Series Statement:
Mathematics in science and engineering ; v. 177
Content:
The book is organized into four chapters. The first three treat distinct types of design variables, and the fourth presents a built-up structure formulation that combines the other three. The first chapter treats finite-dimensional problems, in which the state variable is a finite-dimensional vector of structure displacements and the design parameters. The structual state equations are matrix equations for static response, vibration, and buckling of structures and matrix differential equations for transient dynamic response of structures, which design variables appearing in the coefficient m
Note:
Description based upon print version of record.
,
Front Cover; Design Sensitivity Analysis of Structural Systems; Copyright Page; Contents; Preface; CHAPTER 1. FINITE-DIMENSIONAL STRUCTURAL SYSTEMS; 1.1 Finite-Element Structural Equations; 1.2 Static Response Design Sensitivity; 1.3 Eigenvalue Design Sensitivity; 1.4 Dynamic Response Design Sensitivity; 1.5 Projected Gradient for Trade-Off Determination; CHAPTER 2. DISTRIBUTED PARAMETER STRUCTURAL COMPONENTS; 2.1 Variational Formulation of Static and Eigenvalue Problems; 2.2 Adjoint Variable Method for Static Design Sensitivity Analysis; 2.3 Eigenvalue Design Sensitivity
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2.4 Fréchet Differentiability of the Inverse State Operator with Respect to Design2.5 Differentiability of Eigenvalues; 2.6 Transient Dynamic Response Design Sensitivity; CHAPTER 3. STRUCTURAL COMPONENTS WITH SHAPE AS THE DESIGN; 3.1 Problems of Shape Design; 3.2 Material Derivative for Shape Design Sensitivity Analysis; 3.3 Static Response Shape Design Sensitivity Analysis; 3.4 Eigenvalue Shape Design Sensitivity Analysis; 3.5 Differentiability of Static Response and Eigenvalues with Respect to Shape; CHAPTER 4. DESIGN SENSITIVITY ANALYSIS OF BUILT-UP STRUCTURES
,
4.1 Variational Equations of Built-Up Structures4.2 Static Design Sensitivity; 4.3 Eigenvalue Design Sensitivity; APPENDIX; A.1 Matrix Calculus Notation; A.2 Basic Function Spaces; A.3 Differentials and Derivatives in Norrned Spaces; A.4 Notation; References; Index
,
English
Additional Edition:
ISBN 0-12-332920-5
Language:
English
