Dynamic response of simply supported beams under moving loads based on Chebyshev pseudo-spectral method
The dynamic response of a simply supported beam under a moving load is determined by using the Chebyshev pseudo-spectral method.The boundary conditions of the simply supported beam are imposed by reselecting the interpolation points and using a transform matrix.The concentrated load is regulated by a Gauss function.The computational results from the proposed method are compared with the analytical solutions and the finite element method.The results show that the proposed method with fewer elements is in good agreement with the analytical solution,and displays a higher computational efficiency than the finite element method.In addition,a sensitivity analysis is conducted for the regularisation parameter σn of the Dirac function.The analysis results indicate that when six to ten collocation points within the range of±3σn are used,the computational results can achieve high accuracy.
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