Applied structural mechanics: fundamentals of elasticity, load bearing structures, structural optimization ; including exercises
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 375 - 381 |
| Beschreibung: | XVIII, 389 S. Ill., graph. Darst. |
| ISBN: | 3540612327 |
Internformat
MARC
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| 245 | 1 | 0 | |a Applied structural mechanics |b fundamentals of elasticity, load bearing structures, structural optimization ; including exercises |c H. Eschenauer ; N. Olhoff ; W. Schnell |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a XVIII, 389 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 375 - 381 | ||
| 650 | 4 | |a Elastic analysis (Engineering) | |
| 650 | 4 | |a Structural analysis (Engineering) | |
| 650 | 4 | |a Structural optimization | |
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Datensatz im Suchindex
| _version_ | 1804125427039469568 |
|---|---|
| adam_text | Titel: Applied structural mechanics
Autor: Eschenauer, Hans
Jahr: 1997
Contents
List of symbols xni
1 Introduction 1
A Fundamentals of elasticity 5
- Chapter 2 to 7 -
A.l Definitions ? Formulas ? Concepts 5
2 Tensor algebra and analysis 5
2.1 Terminology - definitions 5
2.2 Index rules and summation convention 6
2.3 Tensor of first order (vector) 7
2.4 Tensors of second and higher order 10
2.5 Curvilinear coordinates 13
3 State of stress 18
3.1 Stress vector 18
3.2 Stress tensor 20
3.3 Coordinate transformation - principal axes 21
3.4 Stress deviator 24
3.5 Equilibrium conditions 25
4 State of strain 26
4.1 Kinematics of a deformable body 26
4.2 Strain tensor 29
4.3 Strain-displacement relations 30
4.4 Transformation of principal axes 31
4.5 Compatibility conditions 31
5 Constitutive laws of linearly elastic bodies 31
5.1 Basic concepts 31
5.2 Generalized HOOKE-DUHAMEL s law 32
5.3 Material law for plane states 35
5.4 Material law for a unidirectional layer (UD-layer) of a 37
fibre reinforced composite
VIII Contents
6 Energy principles 39
6.1 Basic terminology and assumptions 39
6.2 Energy expressions 40
6.3 Principle of virtual displacements (Pvd) 44
6.4 Principle of virtual forces (Pvf) 44
6.5 Reciprocity theorems and Unit-Load -Method 46
6.6 Treatment of a variational problem 46
6.7 Approximation methods for continua 47
7 Problem formulations in the theory of linear 48
elasticity
7.1 Basic equations and boundary-value problems 48
7.2 Solution of basic equations 49
7.3 Special equations for three-dimensional problems 49
7.4 Special equations for plane problems 50
7.5 Comparison of state of plane stress and state of plane 51
strain
A.2 Exercises 53
A-2-1: Tensor rules in oblique base 53
A-2-2: Analytical vector expressions for a parallelogram disk 60
A-2-3: Analytical vector expressions for an elliptical hole in 63
elliptical-hyperbolical coordinates
A-3-1: MOHR s circle for a state of plane stress 66
A-3-2: Principal stresses and axes of a three-dimensional state 67
of stress
A-3-3: Equilibrium conditions in elliptical-hyperbolical coordi- 70
nates ( continued from A-2-3 )
A-4-1: Displacements and compatibility of a rectangular disk 71
A-4-2: Principal strains from strain gauge measurements 73
A-4-3: Strain tensor, principal strains and volume dilatation of 74
a three-dimensional state of displacements
A-4-4: Strain-displacement relation and material law in ellipti- 76
cal-hyperbolical coordinates (continued from A-2-3)
A-5-1: Steel ingot in a rigid concrete base 78
A-6-1: Differential equation and boundary conditions for a 80
BERNOULLI beam from a variational principle
A-6-2: Basic equations of linear thermoelasticity by HELLIN- 82
GER/REISSNER s variational functional
A-6-3: Application of the principle of virtual displacements for 83
establishing the relations of a triangular, finite element
A-7-1: Hollow sphere under constant inner pressure 86
A-7-2: Single load acting on an elastic half-space - Applica- 89
tion of LOVE s displacement function
Contents IX
B Plane load?bearing structures 93
- Chapter 8 to 10 -
B.l Definitions - Formulas ? Concepts 93
8 Disks 93
8.1 Definitions - Assumptions - Basic Equations 93
8.2 Analytical solutions to the homogeneous bipotential 95
equation
9 Plates 99
9.1 Definitions - Assumptions - Basic Equations 99
9.2 Analytical solutions for shear-rigid plates 107
10 Coupled disk-plate problems 113
10.1 Isotropic plane structures with large displacements 113
10.2 Load-bearing structures made of composite materials 118
B.2 Exercises 123
B-8-1: Simply supported rectangular disk under constant load 123
B-8-2: Circular annular disk subjected to a stationary tempera- 128
ture field
B-8-3: Rotating solid and annular disk 131
B-8-4: Clamped quarter-circle disk under a single load 133
B-8-5: Semi-infinite disk subjected to a concentrated moment 137
B-8-6: Circular annular CFRP-disk under several loads 139
B-8-7: Infinite disk with an elliptical hole under tension 145
B-8-8: Infinite disk with a crack under tension 151
B-9-1: Shear-rigid, rectangular plate subjected to a triangular 153
load
B-9-2: Shear-stiff, semi-infinite plate strip under a boundary 155
moment
B-9-3: Rectangular plate with two elastically supported bound- 157
aries subjected to a temperature gradient field
B-9-4: Overall clamped rectangular plate under a constantly 167
distributed load
B-9-5: Rectangular plate with mixed boundary conditions un- 170
der distributed load
B-9-6: Clamped circular plate with a constant circular line load 172
B-9-7: Clamped circular ring plate with a line load at the outer 177
boundary
B-9-8: Circular plate under a distributed load rested on an ela- 179
stic foundation
Contents
B-9-9: Centre-supported circular plate with variable thickness 183
under constant pressure load.
B-10-1: Buckling of a rectangular plate with one stiffener 188
B-10-2: Clamped circular plate under constant pressure consi- 195
dered as a coupled disk-plate problem
C Curved load?bearing structures 199
- Chapter 11 to 14 -
C.l Definitions ? Formulas ? Concepts 199
11 General fundamentals of shells 199
11.1 Surface theory - description of shells 199
11.2 Basic theory of shells 209
11.3 Shear-rigid shells with small curvature 213
12 Membrane theory of shells 214
12.1 General basic equations 214
12.2 Equilibrium conditions of shells of revolution 215
12.3 Equilibrium conditions of translation shells 218
12.4 Deformations of shells of revolution 220
12.5 Constitutive equations - material law 221
12.6 Specific deformation energy 221
13 Bending theory of shells of revolution 222
13.1 Basic equations for arbitrary loads 222
13.2 Shells of revolution with arbitrary meridional shape - 228
Transfer Matrix Method
13.3 Bending theory of a circular cylindrical shell 233
14 Theory of shallow shells 241
14.1 Characteristics of shallow shells 241
14.2 Basic equations and boundary conditions 242
14.3 Shallow shell over a rectangular base with constant 245
principal curvatures
C.2 Exercises 247
C-ll-l: Fundamental quantities and equilibrium conditions of 247
the membrane theory of a circular conical shell
C-12-1: Shell of revolution with elliptical meridional shape sub- 251
jected to constant internal pressure
C-12-2: Spherical boiler under internal pressure and centrifugal 253
force
Contents XI
C-12-3: Spherical shell under wind pressure 255
C-12-4: Hanging circular conical shell filled with liquid 258
C-12-5: Circular toroidal ring shell subjected to a uniformly dis- 260
tributed boundary load
C-12-6: Circular cylindrical cantilever shell subjected to a trans- 264
verse load at the end
C-12-7: Skew hyperbolical paraboloid (hypar shell ) subjected to 267
deadweight
C-13-1: Water tank with variable wall thickness under liquid 272
pressure
C-13-2: Cylindrical pressure tube with a shrinked ring 276
C-13-3: Pressure boiler 281
C-13-4: Circular cylindrical shell horizontally clamped at both 283
ends subjected to deadweight
C-13-5: Buckling of a cylindrical shell under external pressure 288
C-13-6: Free vibrations of a circular cylindrical shell 290
C-14-1: Spherical cap under a concentrated force at the vertex 293
C-14-2: Eigenfrequencies of a hypar shell 296
D Structural optimization 301
- Chapter 15 to 18 -
D.l Definitions - Formulas ? Concepts 301
15 Fundamentals of structural optimization 301
15.1 Motivation - aim - development 301
15.2 Single problems in a design procedure 302
15.3 Design variables - constraints - objective function 303
15.4 Problem formulation - task of structural optimization 306
15.5 Definitions in mathematical optimization 307
15.6 Treatment of a Structural Optimization Problem (SOP) 309
16 Algorithms of Mathematical Programming (MP) 310
16.1 Problems without constraints 310
16.2 Problems with constraints 314
17 Sensitivity analysis of structures 321
17.1 Purpose of sensitivity analysis 321
17.2 Overall Finite Difference (OFD) sensitivity analysis 322
17.3 Analytical and semi-analytical sensitivity analyses 322
XII Contents
18 Optimization strategies 325
18.1 Vector, multiobjective or multicriteria optimization - 325
PARETO-optimality
18.2 Shape optimization 329
18.3 Augmented optimization loop by additional strategies 334
D.2 Exercises 337
D-15/16-1: Exact and approximate solution of an unconstrain- 337
ed optimization problem
D-15/16-2: Optimum design of a plane truss structure - sizing 342
problem
D-15 /16-3 : Optimum design of a part of a long circular cylin- 347
drical boiler with a ring stiffener - sizing problem
D-18-1: Mathematical treatment of a Vector Optimization 352
Problem
D-18-2: Simply supported column - shape optimization pro- 355
blem by means of calculus of variations
D-18-3: Optimal design of a conveyor belt drum - use of 360
shape functions
D-18-4: Optimal shape design of a satellite tank - treat- 364
ment as a multicriteria optimization problem
D-18-5: Optimal layout of a point-supported sandwich pa- 370
nel made of CFRP-material - geometry optimiza-
tion
References 375
A Fundamentals of elasticity 375
B Plane load-bearing structures 376
C Curved load-bearing structures 377
D Structural optimization 378
Subject index 383
|
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| dewey-ones | 624 - Civil engineering |
| dewey-raw | 624.1/7 |
| dewey-search | 624.1/7 |
| dewey-sort | 3624.1 17 |
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| id | DE-604.BV010937271 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:01:23Z |
| institution | BVB |
| isbn | 3540612327 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007316277 |
| oclc_num | 35184040 |
| open_access_boolean | |
| owner | DE-29T DE-703 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-1050 DE-1102 DE-706 DE-526 DE-634 DE-83 |
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| physical | XVIII, 389 S. Ill., graph. Darst. |
| publishDate | 1997 |
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| publisher | Springer |
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| spelling | Eschenauer, Hans 1930-2008 Verfasser (DE-588)12129272X aut Applied structural mechanics fundamentals of elasticity, load bearing structures, structural optimization ; including exercises H. Eschenauer ; N. Olhoff ; W. Schnell Berlin [u.a.] Springer 1997 XVIII, 389 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 375 - 381 Elastic analysis (Engineering) Structural analysis (Engineering) Structural optimization Flächentragwerk (DE-588)4017399-9 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf Strukturmechanik (DE-588)4126904-4 gnd rswk-swf Strukturoptimierung (DE-588)4183811-7 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 s DE-604 Flächentragwerk (DE-588)4017399-9 s Strukturmechanik (DE-588)4126904-4 s Strukturoptimierung (DE-588)4183811-7 s Olhoff, Niels Verfasser aut Schnell, Walter Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007316277&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eschenauer, Hans 1930-2008 Olhoff, Niels Schnell, Walter Applied structural mechanics fundamentals of elasticity, load bearing structures, structural optimization ; including exercises Elastic analysis (Engineering) Structural analysis (Engineering) Structural optimization Flächentragwerk (DE-588)4017399-9 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Strukturmechanik (DE-588)4126904-4 gnd Strukturoptimierung (DE-588)4183811-7 gnd |
| subject_GND | (DE-588)4017399-9 (DE-588)4123124-7 (DE-588)4126904-4 (DE-588)4183811-7 |
| title | Applied structural mechanics fundamentals of elasticity, load bearing structures, structural optimization ; including exercises |
| title_auth | Applied structural mechanics fundamentals of elasticity, load bearing structures, structural optimization ; including exercises |
| title_exact_search | Applied structural mechanics fundamentals of elasticity, load bearing structures, structural optimization ; including exercises |
| title_full | Applied structural mechanics fundamentals of elasticity, load bearing structures, structural optimization ; including exercises H. Eschenauer ; N. Olhoff ; W. Schnell |
| title_fullStr | Applied structural mechanics fundamentals of elasticity, load bearing structures, structural optimization ; including exercises H. Eschenauer ; N. Olhoff ; W. Schnell |
| title_full_unstemmed | Applied structural mechanics fundamentals of elasticity, load bearing structures, structural optimization ; including exercises H. Eschenauer ; N. Olhoff ; W. Schnell |
| title_short | Applied structural mechanics |
| title_sort | applied structural mechanics fundamentals of elasticity load bearing structures structural optimization including exercises |
| title_sub | fundamentals of elasticity, load bearing structures, structural optimization ; including exercises |
| topic | Elastic analysis (Engineering) Structural analysis (Engineering) Structural optimization Flächentragwerk (DE-588)4017399-9 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Strukturmechanik (DE-588)4126904-4 gnd Strukturoptimierung (DE-588)4183811-7 gnd |
| topic_facet | Elastic analysis (Engineering) Structural analysis (Engineering) Structural optimization Flächentragwerk Elastizitätstheorie Strukturmechanik Strukturoptimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007316277&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT eschenauerhans appliedstructuralmechanicsfundamentalsofelasticityloadbearingstructuresstructuraloptimizationincludingexercises AT olhoffniels appliedstructuralmechanicsfundamentalsofelasticityloadbearingstructuresstructuraloptimizationincludingexercises AT schnellwalter appliedstructuralmechanicsfundamentalsofelasticityloadbearingstructuresstructuraloptimizationincludingexercises |