| About the Authors |
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xi | |
| Preface |
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xiii | |
| Introduction |
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xv | |
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Chapter 1 Methods of Dynamic Design of Structural Elements |
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1 | (92) |
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1.1 The Method of Separation Variables |
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1 | (6) |
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1.2 The Variational Methods |
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7 | (4) |
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1.3 Integral Equations and Integral Transforms Methods |
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11 | (6) |
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1.4 The Finite Element Method |
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17 | (8) |
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1.5 The Finite Difference Method |
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25 | (2) |
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1.6 The Generalized Method of Integral Transformation |
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27 | (17) |
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1.7 The Method of Delta-Transform |
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44 | (19) |
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1.8 The Generalized Functions in Structural Mechanics |
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63 | (4) |
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1.9 General Approaches to Constructing Boundary Equations, and Standardized Form of Boundary Value Problems |
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67 | (13) |
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1.10 The Relationship of Green's Function with Homogeneous Solutions of the Method of Initial Parameters |
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80 | (3) |
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1.11 The Spectral Method of Boundary Elements |
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83 | (6) |
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1.12 The Compensate Loads Method |
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89 | (4) |
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Chapter 2 Boundary Elements Methods (BEM) in the Multidimensional Problems |
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93 | (38) |
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2.1 The Integral Equations of Boundary Elements Methods |
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93 | (10) |
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2.2 The Construction of Boundary Equations by the Delta-Transformation Technique |
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103 | (11) |
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2.3 The Equivalence of Direct and Indirect BEM |
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114 | (4) |
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2.4 The Spectral Method of Boundary Elements (SMBE) in Multidimensional Problems |
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118 | (6) |
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2.5 The Problems Described by the Integro-Differential System of Equations |
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124 | (7) |
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Chapter 3 Oscillation of Bars and Arches |
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131 | (112) |
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3.1 The Nonlinear Oscillations of Systems with One Degree of Freedom |
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131 | (10) |
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3.2 The Nonlinear Oscillations of Systems with Multiple-Degrees-of-Freedom |
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141 | (13) |
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3.3 The Nonlinear Oscillations of Systems with Distributed Mass |
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154 | (7) |
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3.3.1 Simply Supported Beams |
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156 | (1) |
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3.3.2 Beams With Built-in Ends |
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157 | (1) |
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3.3.3 Beams With One End Hinged Support and Another End Built-in Support |
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157 | (1) |
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3.3.4 The Cantilever Beam |
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158 | (3) |
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3.4 The Oscillations of the Beam of the Variable Cross-sections |
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161 | (6) |
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3.5 The Optimum Design of the Bar |
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167 | (3) |
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3.6 The Oscillations of Flexural-Shifted (Bending-Shifted) Bars Under the Seismic Impacts |
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170 | (6) |
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3.7 Oscillations of Circular Kings and Arches |
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176 | (6) |
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3.8 The Free Oscillations of System "Flexible Arch-Rigid Beam" |
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182 | (13) |
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3.9 The Results of Dynamic Testing Model of Combined System Rigid-beam and Flexible Arch |
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195 | (12) |
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3.10 The Oscillations of the Combined System Taking into Account its Extent at a Given Harmonic Motion Base |
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207 | (17) |
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3.11 The Determination of the Reactions of Multiple Spans Frame Bridges, Extended Buildings, and Structures Taking into Account the Initial Phase of Passing (Propagation) of the Seismic Wave |
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224 | (19) |
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Chapter 4 Oscillation of Plates and Shells |
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243 | (28) |
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4.1 The Design of the Cantilever Plate of Minimal Mass Working on the Shift with the Assigned Fundamental Frequency |
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243 | (11) |
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4.2 The Experimental and Theoretical Research of Oscillation of a Cantilever Plate with Rectangular Openings |
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254 | (8) |
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4.3 The Oscillations (Vibrations) of Spherical Shells |
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262 | (3) |
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4.4 The Application of the Spectral Method of Boundary Element (SMBE) to the Oscillation of the Plates on Elastic Foundation |
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265 | (6) |
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Chapter 5 The Propagation of Elastic Waves and Their Interaction with the Engineering Structures |
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271 | (44) |
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5.1 The Propagation of Seismic Waves in the Laminar Inhomogeneous Medium |
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271 | (6) |
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5.2 Diffraction of Horizontal Waves on the Semi-cylindrical Base of Structure |
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277 | (8) |
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5.3 Method of Calculation of the Lining of Tunnels to Seismic Resistance |
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285 | (13) |
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5.4 A Study of the Action of Seismic Wave on the Rigid Ring Located in the Half plane |
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298 | (8) |
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5.5 Calculations of Underground Structures with Arbitrary Cross-section under Seismic Action Impact |
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306 | (9) |
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Chapter 6 The Special Features of the Solution of Dynamic Problems by the Boundary Element Methods (BEM) |
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315 | (50) |
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6.1 One Method of Calculation: The Hilbert Transform and its Applications to the Analysis of Dynamic System |
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315 | (9) |
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6.2 Construction of Green's Function for Bases Having Frequency-Dependent Internal Friction |
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324 | (8) |
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6.3 The Green's Functions of Systems with the Frequency-Independent Internal Friction |
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332 | (10) |
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6.4 The Numerical Realization of Boundary Element Method (BEM) |
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342 | (9) |
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6.5 The Construction of the Green's Function of the Dynamic Stationary Problem for the Elasto-Viscous Half-Plane |
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351 | (14) |
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Chapter 7 The Questions of the Static and Dynamic Analysis of Structures on an Elastic Foundation |
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365 | (78) |
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7.1 The Kernel of the Generalized Model of Elastic Foundation (Base) |
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378 | (15) |
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7.2 The Determination of the Characteristics of the Generalized (Unified, Integrated) Model of the Elastic Foundation (Base) |
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393 | (4) |
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7.3 Contact Problem for the Rigid Die, Lying on the Generalized Elastic Base |
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397 | (7) |
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7.4 On One Method of Calculation of Structures on an Elastic Foundation |
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404 | (4) |
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7.5 The Calculation of the (Non-isolated) Beams and Plates, Lying on an Elastic Foundation, Described by the Generalized Model |
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408 | (7) |
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7.6 The Forced Oscillations of a Rectangular Plate on an Elastic Foundation |
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415 | (13) |
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7.7 The Calculation of the Membrane of Arbitrary Shape on an Elastic Foundation |
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428 | (15) |
| Appendix A Certificate of Essential Building Data |
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443 | (12) |
| Appendix B Contact Stresses on the Sole of the Circular Die and the Sole of the Plane Die |
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455 | (1) |
| B.1 Contact Stresses on the Sole of the Circular Die |
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455 | (2) |
| B.2 Contact Stresses on the Sole of the Plane Die |
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457 | (2) |
| References |
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459 | (24) |
| Index |
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483 | |
Lisainfo e-raamatute kohta