Impact Response Analysis of Multi-layered Surface Structures with Composite Material

复合材料多层表面结构的冲击响应分析

• 批准号: 13650529
• 负责人: KOBAYASHI Harutoshi
• 金额: $ 1.34万
• 依托单位: Osaka City University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13650529/
• 关键词: Multi-layered Surface Structure; Anisotropy; Plate; Shell; Impact Response; Wave Propagation; Method of Eigenfunction Expansion; Composite Material; 長方形版; 固有値解析

Part1: The method of eigenfunction expansion is developed to the elestodynamic response analysis of a transversely isotropic, thick rectangular plate with simply supported edge conditions under impact pressure loadings. The elastodynamic solution is decomposed into their quasi-static and dynamic components. The quasi-static solution is obtained by an exact analysis of the quasi-differential equations with the time-dependent boundary conditions. While the dynamic part is given in an infinite series of the eigenfunctions (normal modes) which are derived from the exact free vibration analysis of the associated problem satisfying homogeneous boundary conditions. Stresses and displacements responses are shown graphically, and then influences of anisotropy on the dynamic response are discussed.Part2 : An impact response analysis for a transversely isotropic circular cylindrical shell is carried out using the method of eigenfunction expansion based on the theory of 3D elastodynamics. The circular cylindrical shell is simply supported at its end surfaces, and a partially distributed uniform load is suddenly applied to its outer surface. Numerical results for stress and displacement responses at some locations of interest are shown graphically, and then the influences of anisotropy on the impact response are discussed. The higher stress response will be occurred in the direction with higher longitudinal elastic modulus.

部分1：特征功能扩张的方法是针对横向各向同性，厚的矩形板的颗粒动力响应分析，并在冲击压力载荷下具有简单的支撑边缘条件。将弹性动力溶液分解成其准静态和动态成分。准静态溶液是通过对时间依赖性边界条件的准分子方程的精确分析获得的。动态部分是在无限系列的本征函数（正常模式）中给出的，该征本是从满足同质边界条件的相关问题的确切自由振动分析中得出的。应力和位移响应以图形方式显示，然后讨论各向异性对动态响应的影响。PART2：使用基于3D弹性动力学理论的特征性函数扩展的方法，对横向各向同性圆柱壳进行了横向各向同性圆柱形壳的影响响应分析。仅在其末端表面支撑圆形圆柱壳，并且突然将部分分布的均匀载荷应用于其外表面。图形显示了某些感兴趣位置的应力和位移响应的数值结果，然后讨论了各向异性对撞击反应的影响。具有较高的纵向弹性模量的方向将发生更高的应力反应。

项目成果

Tsunokake, H., Kobayashi, H., Sukata, D.: "Elastodynamic response of a transversely isotropic, thick rectangular plate"Proceedings of 4th Asia-Pacific Conference on Shock & Impact Loads on Structures. 515-520 (2001)

Tsunokake, H.、Kobayashi, H.、Sukata, D.：“横向各向同性厚矩形板的弹性动力响应”第四届亚太冲击会议论文集

小林冶俊, 荒木秀樹: "横等方性円筒シェルの衝撃応答について"構造工学論文集,土木学会. Vol.47A. 1727-1734 (2001)

Yasutoshi Kobayashi、Hideki Araki：“关于横向各向同性圆柱壳的冲击响应”，《结构工程汇刊》，日本土木工程师学会，第 47-1734 卷（2001 年）。

H.Tsunokake, H.Kobayashi, D.Sukata: "Elastodynamic response of a transversely isotropic, thick rectangular plate"Proc. of 4th Asia-Pacific Conference on Shock & Impact Loads on Structures. 515-520 (2001)

H.Tsunokake、H.Kobayashi、D.Sukata：“横向各向同性厚矩形板的弹性动力学响应”Proc。

Tsunokake, H., Kobayashi, H. and Araki, H.: "Impact response of transversely isotropic circular shells"7th International Conference on Structure Under Shock and Impact, Montreal, Canada. (2002)

Tsunokake, H.、Kobayashi, H. 和 Araki, H.：“横向各向同性圆壳的冲击响应”第七届冲击和冲击结构国际会议，加拿大蒙特利尔。

角掛久雄, 須方大介, 小林治俊: "異方性平板の波動伝播解析"構造物の衝撃問題に関するシンポジウム論文集、土木学会. Vol.6. 55-60 (2002)

Hisao Kadokake、Daisuke Sukata、Harutoshi Kobayashi：“各向异性平板的波传播分析”结构冲击问题研讨会论文集，日本土木工程师学会卷 6. 55-60 (2002)。