ITERATIVE ALGORITHM FOR AXIALLY ACCELERATING STRINGS WITH INTEGRAL CONSTITUTIVE LAW |
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| Authors: | Weijia Zhao Liqun Chen |
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| Institution: | [1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 , China [2]Department of Mathematics, Qingdao University, Qingdao 266071, China [3]Department of Mechanics, Shanghai University, Shanghai 200444, China |
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| Abstract: | A numerical method is proposed to simulate the transverse vibrations of a viscoelastic moving string constituted by an integral law.In the numerical computation,the Galerkin method based on the Hermite functions is applied to discretize the state variables,and the RungeKutta method is applied to solve the resulting differential-integral equation system.A linear iterative process is designed to compute the integral terms at each time step,which makes the numerical method more efficient and accurate.As examples,nonlinear parametric vibrations of an axially moving viscoelastic string are analyzed. |
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| Keywords: | iterative algorithm partial-differential-integral equation Hermite function Galerkin method axially moving string integral constitutive law |
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