摘要
本論文主旨在探討不同方向性之複合性蜂巢板其側向剛度特性。首先以實驗方式驗證有限元素法(FEM)模擬靜態變形結果與動態特性中之共振頻率和頻率模態之精確性。之後再以有限元素法(FEM)進行各種不同方向之複合性蜂巢板之剛度模擬分析，並提出較佳的複合性蜂巢板之設計。本文也針對複合性蜂巢板之板寬、板厚、加強肋厚度與材質、蜂巢壁厚以及上下端板之厚度等設計參數對其剛度的影響做深入的分析，並發現這些設計參數是造成複合性蜂巢板剛度特性變化主要因素。

Abstract

In this thesis, the effect of the orientation of trussed honeycomb core design on the stiffness of a composite honeycomb plate is presented. A commercial finite element (FEM) package ‘MSC-MARC’ is employed in the stiffness simulation. To illustrate the feasibility and accuracy of the proposed FEM model, the measured and calculated data for two different sizes regular honeycomb plates (with regular hexagonal cell) are compared. Results show that a good agreement between the simulated and the measured static deflections and dynamic characteristics is found. Numerical results indicate that different orientations of trussed honeycomb core design may improve the stiffness/density ratio of a composite honeycomb plate significantly. The effects of other design parameters of composite honeycomb plate, e.g. width and height of plate, thickness of truss, cell wall and faces, and material of truss, on the stiffness/density ratio have also been investigated in this study.

Contents
Acknowledgements ……………………………………………………….i
Contents …………………………………………………………………..ii
List of figures …………………………………………………………….v
List of tables ……………………………………………………….……xii
Nomenclature …………………………………………………………...xiv
Abstract………………………………………………………………….xvi
Chapter 1 Introduction ……………………………………………….…...1
1-1 Background and motivation …………………………………..1
1-2 Literature review ……………………………………………...2
1-2-1 Sandwich structures………………………………………...2
1-2-2 Impact responses of honeycomb sandwich structures……...3
1-2-3 Mechanical properties of honeycomb structures …………..3
1-2-4 FEM analyses of sandwich structures ……………………..4
1-3 Outline of this thesis ………………………………………….9
Chapter 2 Verification of the proposed FEM models……………………11
2-1 Associated theories in the proposed FEM models …………..…12
2-1-1 Lanczos method for solving the eigenvalue problem ….…12
2-1-2 The out-of-plane properties of honeycomb plates …….….15
2-1-3 The stiffness of the honeycomb sandwich beam …….…...20
2-2 Descriptions of problems ……………………………………....24
2-2-1 Details of proposed FEM model ………………………....24
2-2-2 Assumptions in the FEM model ……………………….....26
2-3 Experimental measurement setup ……………………………...31
2-4 Numerical and experimental results ……………………….…..44
2-4-1 The static displacements of honeycomb plates …………..44
2-4-2 The resonance frequencies of honeycomb plates ………...53
2-4-3 The mode shapes of honeycomb plates …………………..61
Chapter 3 The stiffness of honeycomb plates with different trussed honeycomb core designs …………………..…….………..….69
3-1 The variation of stiffness of honeycomb sandwich plates with different trussed honeycomb core designs ….…………….…...70
3-2 The stiffness of composite honeycomb plates …………….…...76
Chapter 4 The effect of design parameters on the stiffness of honeycomb plates ………………………………………………………....89
4-1 The effect of dimensions of honeycomb plates on the stiffness………………………………………………….……...89
4-1-1 The effect of the widths of honeycomb plates on stiffness…………………………………………………...90
4-1-2 The effect of the heights of honeycomb plates on stiffness…………………………………………………...98
4-1-3 The effect of the thickness of truss on stiffness ………...107
4-1-4 The effect of the thickness of cell wall on stiffness …….115
4-1-5 The effect of the thickness of face on stiffness …………123
4-2 The effect of the different truss materials on the stiffness ……131
Chapter 5 Conclusions ………………………………………………....135
5-1 Conclusions …………………………………………………...135
5-2 Proposed studies in the near future …………………………...137
Appendix A …………………………………………………………….139
Appendix B …………………………………………………………….143
Appendix C …………………………………………………………….144
Appendix D …………………………………………………………….150
Appendix E …………………………………………………………….154
References ……………………………………………………………...157
Vita ……………………………………………………………………..161

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