THE TABLE OF CONTENTS
INTRODUCTION........................................................................................................... 5
CHAPTER 1. NON-UNIFORM DESIGNS WITH IZMENJAJUSHCHIMISJAPO TO THEIR THICKNESS prochnostnymi HARAKTRISTIKAMI.MATEMATICHESKIE CALCULATION MODELS (REVIEW SOSTOJANIJAVOPROSA)...........................
191.1. The analysis and prospects of application of non-uniform designs............... 19
1.2. Ways of creation of heterogeneity............................................................. 20
1.3. Influence of strengthening technologies on prochnostnye and deformation
Characteristics of structural materials.................................................... 23
1.4. The review of mathematical models of calculation of non-uniform designs....... 42
Conclusions on chapter 1...................................................................................... 52
CHAPTER 2. THE EQUATIONS DEFINING IS INTENSE-DEFORMED THIN-WALL prostranstvennyhkonstruktsy WITH CHANGING ON TOLSHCHINEPROCHNOSTNYMI BY CHARACTERISTICS........................ 54
2.1. Inkrementalnye the equations of a bending down non-uniform physically nonlinear
Flat envelopment of a variable thickness............................................................ 54
2.2. Inkrementalnoe the equation of a bending down non-uniform physically nonlinear
Plates of a variable thickness.......................................................................... 67
2.3. Inkrementalnoe the equation of a bending down non-uniform physically nonlinear
Girders of a variable thickness................................................................................. 74
2.4. Boundary conditions....................................................................................... 81
2.4.1. Boundary conditions for flat envelopments.............................................. 81
2.4.2. Boundary conditions for plates............................................................ 82
2.4.3. Boundary conditions for girders................................................................... 83
2.5. Construction of function of heterogeneity......................................................... 84
2.6. A decision method linearizovannyh the equations.............................................. 88
Conclusions on the second chapter...................................................................................... 94
CHAPTER 3. NUMERICAL REALIZATION OF MATHEMATICAL MODEL IANALIZ OF RESULTS OF CALCULATION NON-UNIFORM FIZICHESKINELINEJNYH THE THIN-WALL SPATIAL
DESIGNS................................................................................................ 96
3.1. The decision of a problem of a bending down of physically nonlinear girder at two-sided and
Single-sided heterogeneity on a thickness...................................................... 96
3.2. The decision of a problem of a bending down of physically nonlinear plate at two-sided and
Single-sided heterogeneity on a thickness.................................................... 107
3.3. The decision of a problem of a bending down of physically nonlinear flat envelopment at
Two-sided heterogeneity on a thickness...................................................... 116
Conclusions on the third chapter.................................................................................... 126
CHAPTER 4. NUMERICAL REALIZATION OF MATHEMATICAL MODEL IANALIZ OF RESULTS OF CALCULATION PHYSICALLY nelinejnyhtonkostennyh SPATIAL DESIGNS
VARIABLE THICKNESS......................................................................... 128
4.1. The decision of a problem of a bending down of physically nonlinear girder of a variable thickness 128
4.2. The decision of a problem of a bending down of physically nonlinear plate of a variable
Thickness.............................................................................................................. 134
4.3. The decision of a problem of a bending down of physically nonlinear flat envelopment of a variable
Thickness.............................................................................................................. 141
Conclusions on the fourth chapter................................................................................ 147
THE CONCLUSION................................................................................................ 149
THE LITERATURE LIST............................................................................... 151
APPENDIX AOsnovnye of a parity in the form of a method of final differences
For flat envelopments, plates and girders........................................................ 163
APPENDIX BSpravki and adoption deeds of materials of the dissertational
Researches....................................................................................................... 182
APPENDIX VSvidetelstva about the state registration of programs for
THE COMPUTER.................................................................................................................... 185
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