Analytical Solutions for Stochastic Vibration of Orthotropic Membrane under Random Impact Load.

Analytical Solutions for Stochastic Vibration of Orthotropic Membrane under Random Impact Load.
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DOI:
10.3390/ma11071231
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发表时间:
2018-07-18
期刊:
Materials (Basel, Switzerland)
影响因子:
--
通讯作者:
Zhang P
Zhang P
中科院分区:
其他
文献类型:
--
作者:
Li D;Zheng ZL;Yang R;Zhang P

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正交各向异性膜材料已经应用于许多领域,例如土木工程、航天航空和机械工程等。在其使用寿命期间,这些膜总是面临由随机冲击载荷(例如冰雹、大雨和噪声等)引起的强烈随机振动。本文研究了正交各向异性薄膜在随机冲击载荷作用下的随机振动问题。基于随机脉冲理论,初步得到了随机冲击载荷的统计特性。然后,应用Von Karman理论建立了具有几何非线性的薄膜非线性振动模型,并推导和求解了相应的fokker-plank-kolmogorov(FPK)方程。通过实验研究和蒙特卡洛模拟(MCS)分析,验证了所建立的理论模型的正确性.详细讨论了预张力、冲击速度、材料特性等变量对膜结构随机动力特性的影响。本文的论述为随机振动控制和承受随机动载荷的膜结构设计提供了理论框架。
Orthotropic membrane materials have been applied in the numerous fields, such as civil engineering, space and aeronautics, and mechanical engineering, among others. During their serving lifespan, these membranes are always facing strong stochastic vibrations induced by the random impact load such as hail, heavy rain, and noise, among others. In this paper, the stochastic vibration problem of orthotropic membrane subjected to random impact load is investigated. The statistical characteristics of random impact load are initially obtained based on the stochastic pulse theory. Then, the Von Karman theory is applied to model the nonlinear vibration of membrane with geometric nonlinearity, which is then used to derive and solve the corresponding fokker–plank–kolmogorov (FPK). The theoretical model developed is validated by means of experiment study and monte carlo simulation (MCS) analysis. The effects of variables like pretension force, velocity of impact load, and material features on stochastic dynamic behavior of membranes are discussed in detail. This exposition provides theoretical framework for stochastic vibration control and design of membranes subjected to random dynamic load.
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影响因子: --
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