蜂巢材料因具有質量輕、低熱傳導及高吸能等優點，成為講求自重低和成本低之結構工程中廣泛應用的材料，然而人造或天然蜂巢材料在幾何形狀上不一定皆為均勻規則六角形，造成各種強度下降，若是不了解強度和幾何形狀的關係，則在工程之應用設計上可能會產生成本浪費，或是強度不足的情況，產生之後果皆是重大的損失。

對於具曲度微構件蜂巢材料之雙軸挫曲強度，現今分析結果主要針對曲度之各別狀況使用數值分析方式求解，其過程相當耗時；本研究在推導出具初始曲度之簡支樑之傾角變位法後，再基於此傾角變位法，針對具曲度微構件蜂巢材料之已知彈性挫曲變形形狀，求取雙軸挫曲理論強度，並探討具各種曲度之微結構對挫曲強度有何影響。

　　Honeycombs have unique properties, low weight, low thermal conductivity, and high
energy absorbency, arising from their cellular structures which are exploited in structural engineering. However, artificial or natural honeycombs aren’t always hexagonal, that reduces strengths. To avoid big damages in engineering design, such as the waste of the costs or the insufficient strength of materials, how the geometric shapes of honeycombs affect the strength must be understood.
Till now, the way making use of numerical analysis to deduce the buckling of honeycombs with curved cell edges is still conventional, which could take a lot of time. This thesis will obtain a new slope- deflection equation applying to the simply supported beam with an initial curvature. In addition, based on this new slope-deflection equation, this thesis will derive the theoretical buckling strength of regular hexagonal honeycombs with curved cell edges, and will offer the influences of curvatures on buckling strength.

[1]李妍瑩, “不同微結構蜂巢材料之雙軸彈性挫曲強度,” 國立成功大學土木工程研究所碩士論文,2003.

[2]L. J. Gibson and M. F. Ashby, Cellular Solid：Structure and Properties, 2nd edition, Cambridge U.K., Cambridge University Press, 1997.

[3]S. P. Timoshenko and J. M. Gere, Theory of Elastic Stability, 2nd edition, New York, McGraw-Hill , 1961.

[4]W. F. Chen and E. M. Lui, Structural Stability-Theory and Implementation, New York, Elsevier science publishing, 1987.

[5]L. J. Gibson, M. F. Ashby, J. Zhang and T. C. Triantafillou, “Failure Surfaces for Cellular Materials under Multiaxial Loads –I. modeling,” Int. J. Mech. Sci. 31: 635-663, 1989.

[6]D. Okumura, N. Ohno and H. Noguchi, “Post-Buckling Analysis of Elastic Honeycombs Subject to In-Plan Biaxial Compression,” Int. J. Solids Struc. 39:3487-3503, 2002.

[7]楊美怡, “微結構剖面對蜂巢材料雙軸抗壓行為之影響,” 國立成功大學土木工程研究所碩士論文, 2002.

[8]趙庭佑, “蜂巢材料潛變挫曲行為之數值分析,” 國立成功大學土木工程研究所碩士論文, 2003.