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功能梯度碳纳米管增强复合材料梁、壳结构自由振动行为的数值研究

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目录

LIST OF FIGURES

LIST OF TABLES

LIST OF SYMBOLS

LIST OF ABBREVIATIONS

CHAPTER 1 INTRODUCTION

1.1 Overview of carbon nanotube-reinforced composite

1.2 Literature review on mechanical analysis of FG-CNTRC structures

1.3 Current research shortcomings and challenges

1.4 Research motivation and main works

CHAPTER 2 NONLINEAR VIBRATION OF FG-CNTRC BEAMS RESTING ON NONLINEAR ELASTIC FOUNDATIONS IN THERMAL ENVIRONMENT

2.1 Introduction

2.2 Theoretical formulations

2.3 Solution Methodlogy

2.4 Results and discussion

2.5 Summary

CHAPTER 3 FREE VIBRATION OF FG-CNTRC OPEN CONICAL SHELL INTEGRATED WITH PIEZOELECTRIC LAYERS

3.1 Introduction

3.2 Theoretical formulation

3.3 Solution procedure

3.4 Results and discussion

3.5 Summary

CHAPTER 4 FREE VIBRATION CHARACTERISTICS OF FG-CNTRC CONICAL-CYLINDRICAL COMBINATION SHELLS RESTING ON ELASTIC FOUNDATIONS

4.1 Introduction

4.2 Theoretical model of FG-CNTRC CCCS on elastic foundation

4.3 Implementation of the HWDM

4.4 Numerical results and discussion

4.5 Summary

CHAPTER 5 THE WALSH SERIES METHOD FOR FREE VIBRATION ANALYSIS OF FGM AND FG-CNTRC CYLINDRICAL SHELLS

5.1 Introduction

5.2 Theoretical formulations

5.3 Results and discussions

5.4 Summary

CHAPTER 6 CONCLUSIONS AND FUTURE WORKS

6.1 Conclusions

6.2 Future works

APPENDIX

Appendix A. Detailed expressions of the constant coefficients in the governing equations of the FG-CNTRC beam

Appendix B. Detailed expressions of the sub-matrices in the mass and stiffness matrices of the FG-CNTRC beam

Appendix C. Details expressions of the constant coefficients ijkG and ijkG? for FG-CNTRC conical shell segment

Appendix D. The integrating matrix of Walsh functions

Appendix E. Details expressions of the constant coefficients ijkG? for FGM and FG-CNTRC cylindrical shells

Appendix F. Generalized mass and stiffness matrices of FGM and FG-CNTRC cylindrical shell

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致谢

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