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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
Layout, constructive      303
Least stiffness      195
Length of an arc element      204
LEVY'S approach      109
Line element, length      13
Line load, constant circular      172
Line-Search-Method      311
Linear strain tensor      30
Load vector      230
Load-bearing structures      93
Loading, axisymmetrical      216
Loading, non-symmetrical      216
LOVE function      49 89
Mapping, conformal      145ff
Material law      115 221ff
Material law, plane states      35
Material law, UD-laminate      118ff
Material law, UD-layer      37
Material properties      303
Mathematical Programming, algorithms      310
Matrix, functional      199
Matrix, Jacobian      199
Maximum rule      6
MAXWELL, theorem      46
McCormick      314
Mean curvature      205 208 249
Measure components      7
MEISSNER equations      226
Membrane theory of shells      214
Membrane theory, general expressions      221
MENABREA, theorem      45
Meridional curves      200
Metric components      7
Metric components, contravariant      9
Metric components, covariant      9
Metric tensor      13
Metric tensor, determinant      8
Min-Max, extended      328
Min-Max-formulations      328
Minima, global      307
Minima, local      307
Modeling, geometrical      331
Modified ellipse      334 367
Modulus, shear      94
Modulus, Young's      94
Mohr's circle      24 66
MOIVRE formulas      146
Moving Asymptotes MMA, method      321
Multicriteria optimization      325 367 371
Multilayer composite      119
Multiobjective optimization      327
NAGHDI-shifter      209
NAVIER's approach      107
NAVIER's approach, boundary conditions      103
NAVIER's approach, equation      50
Non-axisymmetrical state of stress      99
Non-symmetrical loading      216
Normal forces, tensor of      212
Normal hypothesis      213
Normal hypothesis, KIRCHHOFF's      114
Objective conflict      326
Objective function      303 305 317
Objective function, vector      326
Objective functionals      329
Oblique base      53
One-dimensional minimization steps      310
Optimal design, simply supported columns      359
Optimality conditions      329 353
Optimality criterion      355
Optimization algorithm      309
Optimization loop      310
Optimization loop, augmented      335
Optimization model      309
Optimization problem, constrained      356
Optimization problem, continuous      302
Optimization problem, discrete      302
Optimization problem, Multicriteria      325 367
Optimization problem, Multiobjective      325
Optimization problem, non-linear (NLOP)      307
Optimization strategies      310 325
Optimization strategies, direct      335
Optimization, multicriteria      325
Optimization, multiobjective      325
Optimization, shape      325 329
Orthotropic cylindrical shells      240
Orthotropic plates      104
Panels      370
Parabolic radiotelescope reflector      370
Paraboloid, elliptical      241
Paraboloid, hyperbolical      241ff
Paraboloid, skew hyperbolical      267
Parameters, GAUSSIAN      200
PARETO-approach      329
PARETO-optimal solutions      326
PARETO-optimality      325
PARETO-solutions      325 329
Penalty function      314
Penalty function method of exterior      315
Penalty function method of interior      315
Penalty function, external      346
Penalty-terms      319
Permutation symbol      12
Permutation tensor      12
Physical components      10
Plane strain, state of      51
Plane stress, state of      51 93 147
Plane structures with large deflections      113
Plate buckling, basic equation      118
Plates energy expression      106
Plates in Cartesian coordinates      99ff 110
Plates in curvilinear coordinates      105
Plates in polar coordinates      104
Plates KIRCHHOFF's theory      102 244
Plates shear stiffness      155
Plates shear-elastic      155
Plates strip, semi-infinite      155
Plates with mixed boundary conditions      170
Plates, circular on elastic foundation      180
Plates, circular, centre-supported      184
Plates, clamped circular      172
Plates, clamped rectangular      167
Plates, elastic energy of the      180
Plates, rectangular      158
Plates, rectangular stiffened      189
Plates, shear-elastic, isotropic      100
Plates, shear-rigid, isotropic circular      104
Plates, shear-rigid, orthotropic      104
Plates, thin circular      195
Plates, transversely vibrating circular      105
Poisson's equation      50
Poisson's ratio      32ff 37 38 94
Polar coordinates      94 98 104 106 112
Potential energy, total      272
Potential energy, volume forces      93
POWELL method of conjugate directions      312
POWELL, method      337 346
Power series expansion      95
Preference function      327
Pressure tube      277
Principal axes      21 22 31
Principal axes transformation      12
Principal strains      74
Principal stresses      22
Principle of stationarity      44 45
Principle of virtual displacements      44 80
Principle of virtual forces      44
Quasi-NEWTON procedure SQNP      314
Radiating state of stress      98
Radius-independent state of stress      98
Rayleigh      322
RAYLEIGH — RITZ's method      47
Reciprocity theorems      46
Rectangular plate with stiffener      189
Rectangular plate, clamped      167
Regula Falsi      311
Resultant force-displacement relations      233ff 235
Revolution, surfaces of      206
RITZ approach      272
RITZ approach method      167 180 182 322
Rotating circular disk      131
Rotation of a UD-layer      38
Rotation of a vector      15
Ruled surface      201
Satellite, fuel tank      364
Scalar function, gradient      15
Scalar product      8
Semi-Bending theory      238ff
Semi-membrane theory      238
Sensitivity analysis      302 310 321
Sensitivity analysis, analytical      322
Sensitivity analysis, Overall Finite Difference (OFD)      322
Sensitivity analysis, semi-analytical      322
Sensitivity matrix      322
Separation approach      170
Sequential Linearization Procedure SLP      317 363
Sequential Quadratic Programming SQP      320
Series expansion, FOURIER      95ff
Shallow shells, theory of      242
Shanno      320
SHAPE      303
Shape functions      329 331
Shape of shallow shells      242
Shape optimization      325 329ff 366 367
Shear field theory      239
Shear force, effective in-plane      234
Shear force, effective transverse      105 234
shear modulus      32 38 94
Shear stiffness, plate      155
Shear strain, technical      30 52
Shear-elastic plate      100 155
Shear-rigid FLUEGGE's theory      233
Shear-rigid isotropic circular plates      104
Shear-rigid orthotropic plate      104
Shear-rigid plate, analytical solutions      107
Shear-rigid shells with weak curvature      213
Shell element      228
Shell of revolution, elliptical meridional      251
Shell shifter      209
Shell structures, combined      228
Shell tensor, determinant of      210
Shell, circular conical      220ff 226
Shell, circular cylindrical      220ff 225 264
Shell, circular toroidal      260
Shell, cylindrical      226
Shell, hypar      267 296
Shell, hyperbolical      218
Shell, hyperbolical paraboloid      267
Shell, ruled      267
Shell, shear-rigid with weak curvature      213
Shell, soap-film      241 242
Shell, spherical      217 220 226 255
Shells of revolution with arbitrary meriodional shape      228
Shells of revolution with arbitrary meriodional shape, bending theory      222ff
Shells of revolution with arbitrary meriodional shape, deformation energy      221
Shells of revolution with arbitrary meriodional shape, deformations      220
Shells of revolution with arbitrary meriodional shape, equilibrium conditions      215
Shells of revolution with arbitrary meriodional shape, weakly curved      223
Shells, basic theory      209
Shells, boundary disturbances      228
Shells, characteristics of shallow      241
Shells, constitutive equation      213
Shells, description of      199
Shells, geometry of      209
Shells, large deflections      231
Shells, membrane theory      214
Shells, orthotropic cylindrical      240
Shells, shallow      241
Shells, special      217
Shells, stiffened      239
Side constraints      305
Sign convention      19
SIMPLEX-procedure      319
Simultaneous shape-thickness optimization      367
Single force, total work      40
Skew hyperbolical paraboloid      267
Skew hyperbolical paraboloid surface      201ff
Slack variable      329
Sliding surface      203
Slowly decaying boundary disturbances      238
Soap-film shells      241ff
Solution method, complex      145
Sphere, hollow      86
Spherical boiler      253
Spherical cap      293
Spherical coordinates      26 30
Spherical shell      217ff 226
Spherical shell, wind pressure      255
Spherical surface      200
State of plane strain      36 51
State of plane stress      22 35 51 93 147
State of strain      26
State of stress      18
State of stress, axisymmetrical      98
State of stress, non-axisymmetrical      99
State of stress, radiating      98
State of stress, radius-independent      98
State Space Method      324
State vector      229 231
Steward      317
Stiffened boiler structure      348
Stiffness, least      195
Strain gauge rosette      73
Strain tensor      29 74
Strain tensor, linear      30
Strain, GREEN — LAGRANGE's components      29
Strain-displacement relations      30 214 215 223ff 242
Strain-stress relations      35 36
Strains, principal      74
Stress deviator      24
Stress function, AIRY's      50 93 123 235
Stress function, complex      97 99
Stress, resultants      114
Stress, tensor      20
Stress, ultimate limit      32
Stress, vector      18ff
Stress-strain relations      35 36
Stresses, principal      22
Structural analysis      302 309
Structural model      309
Structural optimization      301 306
Substitute problems      325ff
Summation convention, EINSTEIN'S      6
SUMT      314
Surface element, area of      204
Surface parameter, GAUSSIAN      199 209
Surface tensor      247
Surface tensor, components      203
Surface tensor, determinant      204
Surface theory      199
Surface, base vectors      203ff
Surface, circular conical      247
Surface, curvature in a point of a curve      205
Surface, cylindrical      202
Surface, elliptic paraboloidal      242
Surface, first fundamental form for      248
Surface, revolution      200 206
Surface, ruled      201
Surface, skew hyperbolical paraboloid      201
Surface, sliding      203
Surface, spherical      200
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