Design-Oriented Analysis of Structures: A Unified Approach

By Uri Kirsch

Subject Index

A

Absolute value, 79, 125

Accurate solutions, 50, 119-134, 196

Additively separable function, 118

Angle limits, 150, 151

Approximations along a line 68, 142

B

Basis vectors, 50, 93, 95, 110-112, 115-118, 225

Beam example, 21

Binomial series, 13, 65, 66-68, 89, 110, 111, 123, 137, 138, 143

Block Gauss-Seidel iteration, 67

Boolean matrix, 60

Buckling analysis, 38-40

C

Capacitance matrix, 57

Characteristic polynomials, 37

Cholesky factorization, 105

Collapse analysis, 38-40

Combined approximations, 13, 47, 49, 50, 109-134, 127, 137, 138, 153, 154, 208-219, 224-230

Compatibility equations, 19

Compliance, 170

Condition number, 103, 122, 123, 127, 130, 170

Conditionally unstable structures, 7-10, 164

Conjugate gradient method, 13, 51, 85, 101-105, 127

Conjugate vectors, 101

Conservative approximations, 13, 48, 71-73

Constitutive law, 19

Continuous system, 3

Continuum structures, 4, 12, 17, 23-30

Convex approximations, 13, 48, 71-73

Cubic fitting, 13, 88, 89

D

Damage analysis, 11, 14, 144-149

Decomposed matrix, 31, 61, 41, 174

Degrees of freedom, 93, 110, 163-176

Derivatives ( see also sensitivity analysis)

analytical, 14, 187, 188-190

approximate, 14, 188, 190-195

direct approximate, 19

matrix of first derivatives, 66

matrix of second derivatives, 66

vectors, 155

second-order, 197

semi-analytical, 187

Design variables, 5-7

continuous, 6

cross-sectional, 6

discrete, 6

geometrical, 6

integer, 6

material, 6

pseudo-discrete, 6

topological, 6

Diagonal matrix, 133

Direct approximations, 13, 71

Direct integration, 34

Direct methods, 13, 14, 55-63

Discrete system, 3

Displacement method, 4, 12, 17, 18, 19, 20-21

Displacement unknowns, 21

Dynamic acceleration, 67

Dynamic analysis, 5, 12, 18, 33-38,...

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Design-Oriented Analysis of Structures: A Unified Approach

TABLE OF CONTENTS

Subject Index

A

B

C

D

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