Abstract
To demonstrate the attractive features of rapid convergence, high accuracy, and computational efficiency, the weak-form quadrature element method (QEM) is used to perform free vibration analysis for thin plates and dynamic analysis of a cantilever flexible bar hit by a rigid ball. Two kinds of quadrature elements, i.e., quadrature bar element and quadrature thin plate element, are used. To formulate an N-node quadrature element is simple and flexible. Numerical results show that similar to the DQM, the QEM can also yield accurate frequencies with relatively small number of grid points if only one quadrature element is used. Besides, the QEM can yield accurate contact stress-time history. Since the basic principle of the QEM is similar to the higher-order finite element method or the time domain spectral element method, more applications will be expected such as in simulations of wave propagation and analysis of complex structures.
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