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Eschenauer H., Olhoff N., Schnell W. — Applied structural mechanics : fundamentals of elasticity, load-bearing structures, structural optimization
Eschenauer H., Olhoff N., Schnell W. — Applied structural mechanics : fundamentals of elasticity, load-bearing structures, structural optimization

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Название: Applied structural mechanics : fundamentals of elasticity, load-bearing structures, structural optimization

Авторы: Eschenauer H., Olhoff N., Schnell W.

Аннотация:

In view of the growing importance of product liability and the demand for fulfillment of extreme specifications for new products, this book provides the basic tools for establishing model equations in structural mechanics. Additionally, it illustrates the transition and interrelation between structural mechanics and structural optimization. Nowadays, this new direction is extremely important for more efficiency in the design process. The book is divided into four parts covering the fundamentals of elasticity, plane and curved load-bearing structures and structural optimization. Each part contains numerous problems and solutions, which will provide the student with the basic tools from the field of elasticity theory and assist the professional engineer in solving problems.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 389

Добавлена в каталог: 16.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
A-conjugate directions      312
Airy's stress function      50 93 123 235
Algorithm of conjugate gradients      313 340
Aluminium honeycomb core      370
Analogy disk-plate      51
Antisymmetrical tensors of second order      11
Arc element, length of      204
Area of a surface element      204
Auxiliary variable method      324
Axisymmetrical loads      216 224
Axisymmetrical loads, circular cylindrical shell      225
Axisymmetrical loads, conical shell      226
Axisymmetrical loads, spherical      226
Axisymmetrical state of stress      98
B-spline-functions      332
Barrier function      315
Base vectors, contravariant      9 204
Base vectors, covariant      7 13 203
Base, contravariant      8
Base, covariant      8
Base, oblique      53
Basic theory of shells      209
Behavioral constraints      305
Beltrami differential equation      87
BELTRAMI — MlCHELL's equations      49
Bending angle      214 223 225
Bending theory of circular cylindrical shell      233
Bending theory of shells of revolution      222
BERNSTEIN-polynomium      333
Bessel function      183
BESSEL's differential equations      105
BETTI, theorem      46
BEZIER-curves      333
BFGS-formula      320
Bipotential equation      50ff 93
Bipotential operator      15
Boiler equation      225
Boiler formula      217 218
Boiler structure, stiffened      348
Bound method      328
Bound variable      328
boundary conditions      103 117 147 158 234 242 244
Boundary conditions, elastically supported      158
Boundary conditions, NAVIER's      103
Boundary conditions, plate with mixed      170
Boundary disturbances of circular cylindrical shells      228
Boundary disturbances of circular cylindrical shells, fast decaying      237
Boundary disturbances of circular cylindrical shells, slowly decaying      238
Boundary of a hole, equilibrium      147
Boundary-value problem, first      48
Boundary-value problem, mixed      48
Boundary-value problem, second      48
BOUSSINESQ's formulas      91
Broyden      320
Buckling load, maximizing the      355
Buckling load, optimal      355
Buckling modes      189 194
Carbon Fibre Reinforced Plastics CFRP      37
Carbon Fibre Reinforced Plastics CFRP, circular disk made of CFRP      139
Carbon Fibre Reinforced Plastics CFRP, plate made of CFRP      118ff
Cartesian coordinates      25 32 35 106 107
Cartesian coordinates, isotropic disk      93
Cartesian coordinates, plates      100
Casing with toroidal shell shape      260
CASSINI-curve      367
CASTIGLIANO and MENABREA principle      45
CASTIGLIANO, theorems      45 264
Cauchy's formula      20
CHEBYCHEV-functions      332
Christoffel symbols      14 17
CHRISTOFFEL symbols in surface theory      205
Christoffel symbols of the first kind      14
Christoffel symbols of the second kind      14
Circular plate on elastic foundation      180
Circular plate on elastic foundation, centre-supported      184
Circular plate on elastic foundation, thin      195
Circular toroidal shell      260
Compatibility conditions      31 73
Complementary energy, specific      41
Complementary work      41
COMPLEX algorithm by BOX      351
Complex solution method      145
Complex stress function      97ff
Composite materials      118
Composite materials, multilayer      119
Compression modulus      34
Conditions for a minimum      307
Conformal mapping      145
Conical shell      218 221 226
Conical shell, boundary disturbances of      228
Conical surface      247
Constitutive equations      214 221
Constitutive equations, isotropic shells      213
Constitutive laws of linear elastic bodies      31
Constrained optimization problem      356
Constraint operator      329
Constraint-oriented transformation      328 352 363
Constraints      303
Constraints, active      306
Constraints, behavioral      305
Constraints, problems with      314
Constraints, problems without      310
Contravariant base      8 210
Contravariant base vectors      204
Contravariant components      9 204
Control polygon      332
Conveyor belt drum      360
Coordinate transformation      21
Coordinates, Cartesian      25 32 35 106 107
Coordinates, curvilinear      13 25 36 105 106
Coordinates, cylindrical      16 25 30
Coordinates, elliptical-hyperbolical      63 70 76
Coordinates, oblique      53 60
Coordinates, polar      98 106 112
Coordinates, spherical      26 30
Coupled disk-plate problem      113
Covariant base      8
Covariant derivatives      14
Covariant metric components      9
Covariant metric tensor, components of      203
Criteria space      326
Criterion function      305
Curvature components      204 205
Curvature, Gaussian      205 208 210 249
Curvature, mean      205 208 249
Curvature, shear-rigid shell with weak      213
Curvature, tensor of      204 249
Cylindrical shell      218 220 225 226 264
Cylindrical shell, bending theory      233
Cylindrical surfaces      202
Cylindrical tube      283
Dantzig      319
DE SAINT VENANT      31
Deadweight      283
Decay factor      225 227
Deflections, plane structures with large      113 195
Deflections, shells with large      231
Deformation energy, specific      41 215 221
Deformation gradient      28
Derivatives, covariant      14
Design optimization problems      304
Design space      304 326
Design Space Method      324
Design variables      302ff
Determinant, metric tensor      8
Determinant, shell tensor      210
Determinant, surface tensor      204
Determinant, tensor of curvature      205
Differential equation, Bessel's      105
Differential equation, boiler      273
Differential equation, coupled      243
Differential equation, elliptical type      219
Differential equation, Euler      183 210
Differential equation, hyperbolical type      219
Differential equation, VON KARMAN's      117
Direct method      317 324 330
Direct optimization strategies      335
Directrix      201
Disk equation      93
Disk, annular circular      128 139
Disk, Cartesian coordinates      93
Disk, circular rotating      131
Disk, infinite with a crack      151
Disk, infinite with elliptical hole      145
Disk, polar coordinates      94
Disk, quarter-circle annular      133
Disk, semi-infinite      137
Disk, simply supported rectangular      123
Disk-plate problem, coupled      113ff 195
Displacement derivatives, tensor      27 28
Displacement function, LOVES's      89
Displacement potential, thermo-elastic      50
Displacement vector      27
Distance functions      328
distortions      223
Divergence, tensor of second order      15
Divergence, vector      15
DONNELL's approximation      239
DONNELL's approximation theory      234
Dyad      5
Dyadic product      6
Effective in-plane shear force      234
Effective transverse shear force      103 105 234
Eigenfrequencies      296
Eigenvalues of a symmetrical tensor      12
EINSTEIN's summation convention      6 329
Elastic energy of foundation      180
Elastic energy of plate      180
Elastic-plastic state      32
Elasticity matrix      36 43 121
Elasticity matrix properties      34
Elasticity matrix tensor      33 213
Ellipse functions with variable exponent      333 367
Elliptical paraboloid surface      241ff
Elliptical-hyperbolical coordinates      63 70 76
Energy expressions      40 106
Energy functional, HELLINGER — REISSNER      114
Energy principles      39ff 80
Equilibrium at large      123 252
Equilibrium conditions      25 213 215 218 222 225 233 234 242 267
Euclidean space      5 8 10 304
Euler equations      330
Euler's differential equation      81 112 185
Exchanging indices, rule of      9
External penalty function      346
Feasible domain      307
FIACCO      314
FIBONACCI-search      311
Finite element method (FEM)      83
First fundamental form of surface      248
Fletcher      320
Fletcher — Reeves      337 340
FLETCHER — REEVES-method      313
Flexibility tensor      33
Flexibility tensor matrix      43
Flexible shells, theory of      238
FLUEGGE, shear-rigid theory      233
Force-quantity procedure      228
Foundation, elastic energy of the      180
Fourier series expansion      96 216
Fuel tank of a satellite      364
Fully-stressed design      368
Functional efficiency      326
Functional matrix      199
Functional-efficient boundaries      368
Functional-efficient set      352 353
Fundamental form, first      203
Fundamental quantities, first order      203 247
Fundamental quantities, second order      203 204 248
GALERKIN equations      47 198
GALERKIN equations method      47 170 195
GAUSS — WEINGARTEN derivative equations      205
Gaussian curvature      205 208
GAUSSIAN curvature curvature      249
GAUSSIAN curvature elimination      323
GAUSSIAN curvature measure of curvature      210
GAUSSIAN curvature parameters      200
GAUSSIAN curvature surface parameters      209
GAUSSIAN curvature theorem      15
GECKELER, method by      226
General bending theory      233
General polynomial function      331
Generalized Reduced Gradients      320 368
Generatrix      201
Geometrical constraints      305
Geometrical constraints, modeling      331
Geometry of shells      209
Goldfarb      320
Goursat      98
Gradient method, steepest descent      313
Gradient, scalar function      15
Gradient, vector      15
GREEN — DIRICHLET's principle      44
GREEN — LAGRANGE s components of strain      29
Griffith      317
Half-space      89
Hellinger — Reissner functional      45 82 114
Hermite interpolation      311
Hessian matrix      307 312 320 337
HOOKE — DUHAMEL's law      32
Hooke's law      34
HOOKE's law, DUHAMEL — NEUMANN form of      85
HOOKEAN bodies      31
Hybrid procedure QPRLT      320
Hypar shell      267 296
Hyperbolical paraboliod shell      241 242 267
Hyperbolical shell      218
Index rule      6
Indirect methods      329
Influence coefficients      46
Influence factor      101
Ingot      78
Invariants      13 22 24
Isotropic disc in Cartesian coordinates      93
Isotropic disk      93 94
Isotropic plate, transversely vibrating      103
Isotropic shell, consitutive equations      213
Isotropic shell, general shear-rigid      233
Jacobian matrix      199
Kelvin function      183
Kinematics of a deformable body      26
KIRCHHOFF's effective transverse shear force      103
KIRCHHOFF's effective transverse shear force, normal hypothesis      114
KIRCHHOFF's effective transverse shear force, plate theory      102 214 244
KOLOSOV      98
Kronecker's delta      8
Kuhn — Tucker conditions      307ff 319
LAGRANGE formulation      113
LAGRANGE formulation -augmented      319
LAGRANGE formulation -function      307 320 353
LAGRANGE formulation -functional      330
LAGRANGE formulation -interpolation      311 346
LAGRANGE formulation -multiplier-method (LPNLP)      363
LAGRANGE formulation notation      26
LAGRANGEAN approach      40
LAGRANGEAN approach, multipliers      307 330 353
Lame constants      34
LAME — NAVIERS equations      49
Laplace operator      15 18 97 106
LAURENT-series      148
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