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The Vibration Characteristics of Printing Moving Membrane Based on the Differential Quadrature Hierarchical Method

  • Mingyue Shao,
  • Xingshui Zhao,
  • Jimei Wu,
  • Jiajuan Qing

摘要

A new method for investigating the vibration characteristics of printing moving membranes of printed electronics is applied in this paper. Firstly, the energy function of the printed, electronic moving membrane is derived using the Hamilton principle, and the energy function is discretized using the Gauss-Lobato method to obtain the discrete control equation. The control equation is solved by constructing a mixed interpolation basis function of a curvilinear orthogonal layered high-order tensor product with differential quadrature hierarchical method. The natural frequency characteristic curve of the printed, electronic moving membrane is obtained. The influence of the transmission speed of the membrane on the vibration characteristics is analyzed, and the stable working range of the system is determined. The successful application of this method provides a new idea for the later research on vibration characteristics of printed, electronic moving membrane systems with complex boundary conditions.