Abstract：Due to a membrane’s small stiffness and large flexibility, its vibration amplitude under external loads is generally larger than its thickness, and its vibration equation’s nonlinear term coefficient is much larger than 1, so it belongs to a strongly nonlinear vibration system.Here, aiming at the limitation of the traditional perturbation method and the small deflection theory being used to solve strongly nonlinear vibration problems, the membrane large deflection theory was combined with the modified multi-scale method to solve the strongly nonlinear vibration governing equation of a flat clamped membrane structure considering effects of its geometric nonlinearity and vibration damping.The obtained results were compared with those of the accurate series solutions achieved using the traditional KBM method, etc.To verify the applicability of the proposed theoretical method, ZZF membrane material was adopted to conduct tests, and get membrane’s vibration characteristics.The test results showed that the modified multi-scale method is applicable for studying strongly nonlinear vibration of clamped membrane structures.
李英民， 宋维举，王肖巍. 固支薄膜结构强非线性振动解析方法研究[J]. 振动与冲击, 2019, 38(17): 144-148.
LI Yingmin, SONG Weiju, WANG Xiaowei . Analytical solutions to strongly nonlinear vibration of a clamped membrane structure. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(17): 144-148.
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