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Vibrations of Nonlinear Systems in Aerospace Structures

航空航天结构中非线性系统的振动

基本信息

批准号：
02650045
负责人：
MATSUZAKI Yuji
金额：
$ 1.22万
依托单位：
Nagoya University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1990
资助国家：
日本
起止时间：
1990 至 1991
项目状态：
已结题

项目摘要

It is important to study nonlinear dynamic behaviors of light-weigted of thin-walled structures, such as very flexible large space structures under a micro-gravity condition and high-speed aeroplanes subjected to high temperature and dynamic pressure. First, we examinated the nonlinear oscillation of a curved beam which modelled buckling of a plate due to aerodynamic heating in supersonic/hypersonic flight ranges, predicted that chaotic motions would appear on certain conditions of the forced intensity and the curvature of the beam because of the appearance of the horseshoe in Poin-care's map, and showed actually the occurrence of the chaotic motion using a numerical analysis. As for laminated composite plates as important elements of the light-weighted structures, a higher-order displacement field theory in which the continuity of transverse shear stresses is satisfied at interfaces ha s next been proposed to compare with existing exact and approximate analysis. Flutter and divergence of laminated composite plate wings in a supersonic flow were also studied to clarify the effect of ratios of bending/torsional rigidity of the laminae of the critical speed. Finally, the nonlinear oscillation of a cantilever beam representing an antenna during deployment from a satellite was also studied analytically and experimentally. The FEM was applied using elongating elements, and a good agreement between the analysis and the experiment was obtained. In addition to the finite element numerical analysis, the motion of a deploying beam having both ends supported was analytically examined using a green function approach.

研究轻重量薄壁结构的非线性动力学行为，如微重力条件下的大柔性空间结构、高温动压作用下的高速飞机等，具有重要意义。首先，我们研究了曲梁的非线性振动，该曲梁模拟了在超声速/高超声速飞行范围内由于气动加热引起的板屈曲，预测了由于Poin-care映射中出现马蹄形，在一定的强迫强度和梁曲率条件下会出现混沌运动，并使用数值分析实际显示了混沌运动的发生。对于作为轻型结构重要单元的复合材料层合板，本文提出了一种满足界面处横向剪应力连续性的高阶位移场理论，并与现有的精确和近似分析进行了比较。本文还研究了复合材料层合板机翼在超音速流中的颤振和发散，以阐明临界速度层合板的弯曲/扭转刚度比的影响。最后，对天线悬臂梁在卫星上展开过程中的非线性振动进行了理论分析和实验研究。采用拉伸单元进行了有限元分析，得到了与实验吻合较好的结果。除了有限元数值分析外，还利用绿色函数方法分析了两端支承的展开梁的运动。