Abstract
A spectrum analysis is presented to study the dynamic performance of Galerkin meshfree method with moving least square or reproducing kernel approximation. The analysis is carried out for the semi-discrete meshfree formulations with particular reference to the classical rod and beam problems. Both frequency spectra and the convergence rate of the fundamental frequency are discussed in detail and the finite element solutions are included for comparison as well. Numerical results show that the meshfree formulations have very favorable dynamic behavior compared with their finite element counterparts.
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