Study of nonlinear vibration characteristics and stability of printing moving film

Y. Wang, Zi-heng Nie, Jimei Wu, Qiumin Wu
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Abstract

The nonlinear vibration characteristics and stability of the printing moving film is studied. The transverse vibration differential equation is derived according to the D'Alembert principle and dispersed by using the differential quadrature method. The stability of an axially moving film under variable tension is studied based on the Floquet theory. The large deflection vibration equation of axially moving film is deduced based on the theory of elasticity, large deflection vibration of the moving rectangle film under clamped boundary is studied by semi-analytic weighted residual method namely Bubnov-Galerkin method, and the frequency of nonlinear large deflection vibration is calculated.
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印刷动膜的非线性振动特性及稳定性研究
研究了印刷动膜的非线性振动特性和稳定性。根据达朗贝尔原理推导了横向振动微分方程,并用微分正交法进行了离散。基于Floquet理论,研究了变张力作用下轴向运动薄膜的稳定性。基于弹性理论推导了轴向运动膜的大挠度振动方程,采用半解析加权残差法即布布诺夫-伽辽金法研究了夹紧边界下运动矩形膜的大挠度振动,并计算了非线性大挠度振动的频率。
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