Finite deformation and stability analyses of thin shells defined in monoclinically convected coordinates under a follower force system 従動力を受ける薄肉シェルの埋込み曲線座標による大変形挙動と安定性解析

Access this Article

Search this Article

Author

    • Thomas George トーマス ジョージ

Bibliographic Information

Title

Finite deformation and stability analyses of thin shells defined in monoclinically convected coordinates under a follower force system

Other Title

従動力を受ける薄肉シェルの埋込み曲線座標による大変形挙動と安定性解析

Author

Thomas George

Author(Another name)

トーマス ジョージ

University

九州大学

Types of degree

工学博士

Grant ID

甲第3004号

Degree year

1992-05-29

Note and Description

博士論文

Table of Contents

  1. Contents / p3 (0005.jp2)
  2. 1 Introduction / p1 (0011.jp2)
  3. 1.1 Briefly Scanning the Backgrounds of the Theories of Large Deformations and Dynamic Stability of Shells / p2 (0012.jp2)
  4. 1.2 The Criteria of Advancement of the Present Research / p3 (0013.jp2)
  5. 1.3 An Overview of the Setup and Contents of This Thesis / p5 (0015.jp2)
  6. PART I / (0018.jp2)
  7. GENERAL PRINCIPLES AND FINITE DEFORMATION / (0018.jp2)
  8. 2 Fundamental Values of the Tensor Geometry of a Thin Shell and the Finite Deformation Mechanism / p8 (0020.jp2)
  9. 2.1 The Definition of Monoclinically Convected Coordinate Axes of a General Shell / p8 (0020.jp2)
  10. 2.2 Tensor Geometry of the Shell Middle Surface / p9 (0021.jp2)
  11. 2.3 Tensor Geometry of the Shell Generic Surface / p17 (0029.jp2)
  12. 3 Derivation of the General Governing Equations for the Finite Deformations of Thin Shells / p21 (0034.jp2)
  13. 3.1 The Stress Resultants / p21 (0034.jp2)
  14. 3.2 The Equilibrium Equations / p23 (0036.jp2)
  15. 3.3 The Load Element / p25 (0038.jp2)
  16. 3.4 The Physical Element / p27 (0040.jp2)
  17. 3.5 The General Governing Equations for the Finite Deformations of a Thin Shell / p29 (0042.jp2)
  18. 4 Definition of a Typical Shell Geometry and Numerical Formulation of a Shell Problem / p42 (0056.jp2)
  19. 4.1 Definition of the Toroidal Shell and its Generality / p42 (0056.jp2)
  20. 4.2 Derivation of the Differential Geometrical Values of the Undeformed Shell Middle Surface / p44 (0058.jp2)
  21. 4.3 General Parameters of the Shell / p47 (0061.jp2)
  22. 4.4 General Boundary Conditions / p47 (0061.jp2)
  23. 4.5 An overview of the Numerical Methods / p48 (0062.jp2)
  24. 4.6 Physical Constants and Non-dimensionalizing Factors / p49 (0063.jp2)
  25. 5 Numerical Solutions for Finite Deformations of Thin Shells / p51 (0066.jp2)
  26. 5.1 Numerical Calculation of Small Deformations / p51 (0066.jp2)
  27. 5.2 Numerical Calculation of Finite Deformations / p74 (0089.jp2)
  28. 5.3 A Comparison with the Approximate Discretized Equation / p79 (0094.jp2)
  29. PART II / (0096.jp2)
  30. DYNAMIC STABILITY / (0096.jp2)
  31. 6 Derivation of the General Governing Equations for the Stability Analysis of Thin Shells undergoing Finite Deformations / p81 (0098.jp2)
  32. 6.1 The Method of Small Parametric Oscillations and the Stability Equations of Thin Shells / p82 (0099.jp2)
  33. 6.2 Formulation of an Eigenvalue Problem and the General Method of Analysis / p86 (0103.jp2)
  34. 6.3 Formulation of a First Approximation for the Stability Analysis of General Shells / p87 (0104.jp2)
  35. 7 Stability Characteristics of Thin Shells undergoing Finite Deformations / p89 (0107.jp2)
  36. 7.1 A Comparative Study of the Frequencies of Natural Vibrations of Different Shells / p90 (0108.jp2)
  37. 7.2 The General Criteria for Shell Stability and some Numerical Examples / p94 (0112.jp2)
  38. 7.3 A Detailed Investigation of the Different Instability Characteristics of Shells / p101 (0119.jp2)
  39. 8 General Conclusions and Observations / p115 (0135.jp2)
  40. 8.1 Implications of the Theoretical Formulation / p115 (0135.jp2)
  41. 8.2 Inferences from the Finite Deformation Analysis / p116 (0136.jp2)
  42. 8.3 Inferences from the Stability Analysis / p117 (0137.jp2)
  43. 8.4 Some General Remarks and Trends of Future Research / p118 (0138.jp2)
  44. References / p119 (0140.jp2)
  45. APPENDICES / (0142.jp2)
  46. Appendix A:Coefficients of the Full Linear Range of Governing Equations for the Small Deflections of Shallow Shells / p121 (0143.jp2)
  47. Appendix B:Coefficients of the Simplified Linear Range of Governing Equations for the Small Deflections of Shallow Shells / p124 (0146.jp2)
  48. Appendix C:Coefficients of the Simplified Linear Range of Governing Equations for the Small Deflections of Shallow Shells in the Matrix Form / p126 (0148.jp2)
  49. Appendix D:The Coefficient Matrix for Categorization of Terms in the Linear Governing Equations / p128 (0150.jp2)
  50. Appendix E:Coefficients of the Complete Nonlinear Range of Governing Equations for Finite Deformations / p130 (0152.jp2)
  51. Appendix F:Coefficients of the Principal Nonlinear Range of Governing Equations for Finite Deformations / p134 (0156.jp2)
  52. Appendix G:Coefficients of the Truncated Discretized Form of the Simplified Nonlinear Governing Equations / p137 (0159.jp2)
  53. Appendix H:The Mathieu Equation and a Correlation to the Stability Ranges of Shells undergoing Finite Deformations-AConceptual Approach / p139 (0161.jp2)
7access

Codes

  • NII Article ID (NAID)
    500000089147
  • NII Author ID (NRID)
    • 8000000089367
  • DOI(NDL)
  • NDLBibID
    • 000000253461
  • Source
    • NDL ONLINE
    • NDL Digital Collections

Export

Page Top