论文部分内容阅读
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 effcient and accurate. As examples, nonlinear parametric vibrations of an axially moving viscoelastic string are analyzed.
A numerical method is proposed to simulate the transverse vibrations of a viscoelastic moving string composed 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 term at each time step, which makes the numerical method more effcient and accurate. As examples, nonlinear parametric vibrations of an axial moving viscoelastic string are analyzed.