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The previous low-order approximate nonlinearformulations succeeded in capturing the stiffening terms,but failed in simulation of mechanical systems with largedeformation due to the neglect of the high-order deforma-tion terms.In this paper,a new hybrid-coordinate formu-lation is proposed,which is suitable for flexible multibodysystems with large deformation.On the basis of exact strain-displacement relation,equations of motion for flexible multi-body system are derived by using virtual work principle.A matrix separation method is put forward to improve theefficiency of the calculation.Agreement of the present resultswith those obtained by absolute nodal coordinate formula-tion(ANCF)verifies the correctness of the proposed formu-lation.Furthermore,the present results are compared withthose obtained by use of the linear model and the low-orderapproximate nonlinear model to show the suitability of theproposed models.
The previous low-order approximate nonlinear modals succeeded in capturing the stiffening terms, but failed in simulation of mechanical systems with large information due to the neglect of the high-order deforma- tion terms. This this paper, a new hybrid-coordinate formu-lation is proposed, which is suitable for flexible multibodysystems with large deformation. On the basis of exact strain-displacement relation, equations of motion for flexible multi-body system are derived by using virtual work principle. A matrix separation method is put forward to improve the efficiency the calculation.Agreement of the present resultswith those obtained by absolute nodal coordinate formula-tion (ANCF) verifies the correctness of the proposed formu-lation.Furthermore, the present results are compared withthose obtained by use of the linear model and the low-orderapproximate nonlinear model to show the suitability of theproposed models.