| Citation: | ZHOU Ping, LI Haibo, LIANG Lifuet al. Quasi-variational principle and application of initial value problem for rigid-elastic coupling dynamics[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(7): 1321-1329. doi: 10.13700/j.bh.1001-5965.2016.0849(in Chinese)
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The rigid-elastic coupling dynamics has been widely used in the national defense and civil economic construction, but there are still no mature theoretical research results. In this view, the quasi-variational principle of the initial value problem was established, according to rigid-elastic coupling characters, and the quasi-stationary condition of the quasi-variational principle was derived by the variational method. This condition is the governing equation of rigid-elastic coupling dynamics. Two examples were given to show the application of this condition. One was the analytical solution of the odd order vibration mode of free beam obtained by the governing equation. The other is the analytical solution of the even order vibration mode of the free beam obtained by the variational direct method Ritz method. The results show that the quasi-variational principle of the initial value problem of the rigid-elastic coupling dynamics provides the basis for the establishment of finite element model.
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