Upper-Bound Vibration Spectrum Computation for Membrane Response from a Few Point Measurements
Upper-Bound Vibration Spectrum Computation for Membrane Response from a Few Point Measurements
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DOI：
10.2514/1.j059584
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发表时间：
2021-01-01
期刊：
影响因子：
2.5
通讯作者：
Aoki, Tomohiro
中科院分区：
文献类型：
--
作者：
Iwasa, Takashi;Amamoto, Takuya;Aoki, Tomohiro
本文提出了一种由少数测点的振动谱求取膜结构振动谱上限的方法。上限谱超过测量谱一定比例。三种类型的方形膜进行角拉伸载荷，即，平，褶皱，和复合膜，进行了测试。通过光栅投影法进行的全场表面形状测量表明，当振动模式由基模的重复组成时，每个频率的光谱值的点到点变化具有相似的分布。最后，对三种膜结构进行了数值模拟，验证了所提出的计算方法的有效性.本研究提供了一个可行的方法，以估计最大的动力响应的方形膜角拉伸载荷下，通过点测量在选定的位置。
This paper proposes a method to derive the upper-bound vibration spectrum of a membrane structure from a few selected point measurements. The upper-bound spectrum exceeds the measured spectra by a certain proportion. Three types of square membranes subjected to corner tension loads, namely, flat, wrinkled, and composite membranes, were tested. Full-field surface shape measurements via the grating projection method revealed that the point-to-point variation of the spectral values in each frequency has similar distribution when a vibration mode is composed of the repetition of a fundamental mode. Then, the validity of the proposed computational method was validated for the three types of membranes. This study offers a practicable approach to estimate the maximum dynamic response of square membranes under corner tension loads through point measurements at selected locations.