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Impact-induced nonlinear damped vibration of fabric membrane structure: Theory, analysis, experiment and parametric study

机译：冲击引起的织物膜结构非线性阻尼振动的理论，分析，实验和参数研究

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摘要

Fabric membrane, a typical composite material, is widely applied in building structures, agricultural facilities, packaging engineering, and aeronautical engineering, etc. However, it may fail subject to large-amplitude vibration induced by impact due to its lightweight and small stiffness properties. Herein, the nonlinear damped vibration of a pretensioned rectangular orthotropic membrane structure under impact loading is studied by analytical, numerical and experimental methods. The governing equation is derived based on the von Korman large deflection theory, and the analytical solution is obtained by the Bubnov-Galerkin method and the Krylov-Bogolubov-Mitropolsky (KBM) perturbation method. Meanwhile, the numerical and experimental analysis are carried out for validation of analytical model and good agreement is achieved. Furthermore, parametric study is also performed to find the sensitivity of the design parameters to the vibration response. The results obtained in the paper lay solid foundation for the vibration control and dynamic design of orthotropic membrane structures.
机译：织物膜是一种典型的复合材料，已广泛应用于建筑结构，农业设施，包装工程和航空工程等领域。但是，由于其轻质和小刚度的特性，它可能会遭受冲击引起的大振幅振动。本文通过解析，数值和实验方法研究了预应力矩形正交异性膜结构在冲击载荷作用下的非线性阻尼振动。根据冯·科曼大挠度理论推导了控制方程，并通过Bubnov-Galerkin方法和Krylov-Bogolubov-Mitropolsky（KBM）摄动方法获得了解析解。同时进行了数值和实验分析，验证了分析模型的正确性。此外，还进行了参数研究，以发现设计参数对振动响应的敏感性。本文的结果为正交异性膜结构的振动控制和动态设计奠定了坚实的基础。

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