期刊
ACTA MECHANICA SOLIDA SINICA
卷 21, 期 5, 页码 449-456出版社
SPRINGER
DOI: 10.1007/s10338-008-0854-x
关键词
iterative algorithm; partial-differential-integral equation; Hermite function; Galerkin method; axially moving string; integral constitutive law
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 oil 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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