Free vibration analysis of the axially moving Levy-type viscoelastic plate |
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| Authors: | Krzysztof Marynowski |
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| Institution: | 1. Department of Mechanics, Northeastern University, Shenyang 110819, China;2. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang 110819, China;1. Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, Canada H3A 0C3;2. Dipartimento di Ingegneria Industriale, Università di Parma, Parco Area delleScienze 181/A, Parma 43100, Italy;1. Department of Mathematical Information Technology, University of Jyväskylä, P.O. Box 35 (Agora), FI-40014, Finland;2. Institute for Problems in Mechanics RAS, Prospect Vernadskogo 101, Bld. 1, 119526 Moscow, Russian Federation;1. College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR China;2. School of Mechatronics Engineering, Henan University of Science and Technology, PR China |
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| Abstract: | In this paper, the viscoelastic theory is applied to the axially moving Levy-type plate with two simply supported and two free edges. On the basis of the elastic – viscoelastic equivalence, a linear mathematical model in the form of the equilibrium state equation of the moving plate is derived in the complex frequency domain. Numerical calculations of dynamic stability were conducted for a steel plate. The effects of transport speed and relaxation times modeled with two-parameter Kelvin–Voigt and three-parameter Zener rheological models on the dynamic behavior of the axially moving viscoelastic plate are analyzed. |
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