Forced vibration and chaotic behavior of membrane under pretension
Source abstract
Abstract
In the process of transmission, the flexible membrane will be affected by the pretension of the guide roller and the external excitation force of the conductive silver slurry ejected by the nozzle. Because the large deflection deformation of the middle surface of the membrane caused by pretension and external force seriously affects the printing accuracy of the printed products, it is very important to study the geometric nonlinearity of the flexible membrane. In this paper, the transverse forced vibration model of the flexible membrane with pretension is established by Von Karman’s large deflection theory, and its vibration equation is discretized and solved by the Bubnov–Galerkin method and the fourth-order Runge Kutta method. Meanwhile, by analyzing the bifurcation diagram and TLE (Top Lyapunov Exponents) spectrum, the working state of the motion system with the change in parameters is obtained. In addition, the dynamic response of the system under the given parameters is obtained by comparing the phase diagram with the Poincaré mapping diagram.
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Research context
OpenAlex topics: Vibration and Dynamic Analysis · Fluid Dynamics and Thin Films · Advanced Materials and Mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Mechanical and Precision Instrument Engineering, Xi’an University of Technology 1 , Xi’an 710048, China
School of Automobile, Zhejiang Institute of Communications 2 , Hangzhou 310000, China
School of Printing, Packaging Engineering and Digital Media Technology, Xi’an University of Technology 3 , Xi’an 710048, China
Funding
National Natural Science Foundation of China · Natural Science Foundation of Shananxi Province
References (23)
Show source-provided references
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