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板和桥梁结构的有限棱柱静力分析

论文摘要

有限棱柱法将Fourier级数与有限单元组合起来构造常截面三维有限棱柱单元，由于该方法运用Fourier级数具有解耦特性，因而可将三维问题转化为一系列二维问题求解。本文给出了运用有限棱柱法求解在均布荷载和集中荷载作用下直板和曲板静力问题的解以验证该方法的精度。本文还将有限棱柱法运用到三维直线型和曲线型箱梁和板梁桥梁的静力分析中，并将本文结果与文献结果进行了比较以验证本文方法的可靠性。

论文目录

  • ACKNOWLEDGMENT
  • ABSTRACT
  • 摘要
  • CONTENTS
  • LIST OF FIGURES
  • NOTATIONS
  • CHAPTER（1）:Introduction
  • 1.1 PREFACE
  • 1.2 Objective of the study
  • 1.3 Concluding Remarks
  • CHAPTER（2）:Literature Review
  • 2.1 Historical background.
  • 2.2 Types of Bridges
  • 2.3 Some Method of Analysis
  • 2.3.1 Static Analysis of Bridges
  • 2.4 Finite Prism Method
  • 2.5 Concluding Remarks
  • CHAPTER（3） Finite Prism Formulation
  • 3.1 Introduction
  • 3.2 Finite Prism Idealization
  • 3.3 Static Analysis of Bridges
  • 3.3.1 Displacement Function
  • 3.3.2 Strains
  • 3.3.3 Stresses
  • 3.4 Formulation of The Stiffness And ForceMatrices
  • 3.4.1 Stiffness Matrix
  • 3.4.2 Force Matrices
  • 3.5 Numerical Evaluation of The Integrals
  • 3.6 Formulation of Curved Prism Element
  • 3.6.1 Displacement Function
  • 3.6.2 Strains
  • 3.6.3 Stresses
  • 3.8 Concluding Remarks
  • CHAPTER（4） Assessment of The Method
  • 4.1 Introduction
  • 4.2 Static Analysis
  • 4.2.1 Simply Supported Curved Plate Subjected to Concentrated Loads
  • 4.2.2 Simply Supported Square Isotropic Square Plate Subjected to Uniformly Distributed Load
  • 4.2.3 Simply Supported Twin-Cell Box Girder Bridge Curved In Plan
  • 4.2.4 Straight Twin Cell Box Girder Bridge
  • 4.2.5 Simply Supported Deck Girder Bridge
  • Concluding Remarks
  • CHAPTER（5） Conclusions And Recommendations
  • 5.1 Summary
  • 5.2 Conclusions
  • 5.3 Recommendations
  • REFERENCES

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