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　　本书以李兹法为基础，研究结构部件的三维弹性振动特性。全书共十六章，第一章介绍了李兹法的历史发展和问题的由来；第二章介绍了切比雪夫多项式的定义和特点；第三章是本书的主要创新内容，建立了试函数的一般构造形式——边界特征函数与切比雪夫多项式级数的积，给出了各种边界条件下边界特征函数的具体表达方法；第四章至第十六章介绍了切比雪夫-李兹法的应用，分别研究了十三种典型结构的三维弹性动力学特性。
　　本书可供航天航空、机械、土木和力学等方面的科研工作者、工程设计人员、大专院校有关专业教师和研究生使用。

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• Preface
  Chapter 1 Introduction
  1.1 General Introduction
  1.2 One-dimensional Vibration
  1.3 Two-dimensional Vibration
  1.4 Three-dimensional Vibration
  Chapter 2 Chebyshev Polynomials
  2.1 Introduction
  2.2 Definition
  2.3 Basic Properties
  2.4 Some Advantages
  Chapter 3 Ritz Method
  3.1 Introduction
  3.2 Basic Formulation
  3.3 Construction of Solutions
  3.4 Construction of Boundary Characteristic Functions
  Chapter 4 3-D Vibration of Rectangular Plates
  4.1 Introduction
  4.2 Mathematical Formulation
  4.3 Convergence Study and Comparison
  4.4 Numerical Results
  4.5 Conclusions
  Chapter 5 3-D Vibration of Rectangular Plates on Pasternak Foundation
  5.1 Introduction
  5.2 Formulation
  5.3 Convergency and Comparison
  5.4 Numerical Results
  5.5 Conclusions
  Chapter 6 3-D Vibration of Circular and Annular Plates
  6.1 Introduction
  6.2 Theoretical Formulation
  6.3 Convergence and Comparison Study
  6.4 Numerical Results
  6.5 Conclusions
  Chapter 7 3-D Vibration of Circular Plates on Pasternak Foundation
  7.1 Introduction
  7.2 Formulation
  7.3 Convergence and Comparison Study
  7.4 Parametric Study
  7.5 Conclusions
  Chapter 8 3-D Vibration of Solid and Hollow Circular Cylinders
  8.1 Introduction
  8.2 Formulation
  8.3 Convergence and Comparison Studies
  8.4 Numerical Results
  8.5 Concluding Remarks
  Chapter 9 3-D Vibration of A Torus with Circular Cross-Section
  9.1 Introduction
  9.2 Theoretical Formulation
  9.3 Convergence Study
  9.4 Eigenfrequencies and Mode Shapes
  9.5 Conclusions
  Chapter 10 3-D Vibration of Isosceles Triangular Plates.
  10.1 Introduction
  10.2 Theoretical Formulation
  10.3 Convergence and Comparison Studies
  10.4 Numerical Results
  10.5 Concluding Remarks
  Chapter 11 3-D Vibration of Prisms with Isosceles Triangular Cross-sections
  11.1 Introduction
  11.2 Formulation
  11.3 Convergence and Comparison Study
  11.4 Numerical Results
  11.5 Conclusion
  Chapter 12 3-D Vibration of Skew Thick Plates
  12.1 Introduction
  12.2 Theoretical Formulation
  12.3 Convergence and Comparison Studies
  12.4 Numerical Results
  12.5 Conclusions
  Chapter 13 3-D Vibration of Prisms with Skew Cross-section
  13.1 Introduction
  13.2 Mathematical Formulation
  13.3 Convergence and Results
  13.4 Conclusions
  Chapter 14 3-D Vibration of Generalized Super Elliptical Plates
  14.1 Introduction
  14.2 Formulation
  14.3 Convergence and Comparison Study
  14.4 Parametric Study
  14.5 Concluding Remark
  Chapter 15 3-D Vibration of Thick Circular Plates with Built-in Edges
  15.1 Introduction
  15.2 Theoretical Formulation
  15.3 Convergence and Comparison Studies
  15.4 Parametric Studies
  15.5 Conclusions
  Chapter 16 3-D Vibration of Rectangular Plates with Mixed Boundary Conditions
  16.1 Introduction
  16.2 Model
  16.3 Basic Formulae
  16.4 Boundary Characteristic Functions.
  16.5 Convergence Study
  16.6 Comparison Study
  16.7 Numerical Results
  16.8 Conclusions
  References