Iterative algorithm for axially accelerating strings with integral constitutive law

被引：0
作者：
Weijia Zhao
Liqun Chen
机构：
[1] Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics
[2] Qingdao University,Department of Mathematics
[3] Shanghai University,Department of Mechanics
来源：
Acta Mechanica Solida Sinica | 2008年 / 21卷
关键词：
iterative algorithm; partial-differential-integral equation; Hermite function; Galerkin method; axially moving string; integral constitutive law;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 Runge-Kutta 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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页码：449 / 456
页数：7
相关论文
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