Abstract：An improved Fourier series method was employed to model torsional vibration of an elastic rod under arbitrary boundary conditions. In order to overcome discontinuities of displacement derivatives of traditional Fourier series at boundary points, an improved method was constructed to improve the convergence and correctness of the series solution. The system characteristic equation was obtained through exactly solving the torsional vibration governing equations and boundary condition equations of the rod. Various numerical examples were presented to validate the feasibility and correctness of the proposed model.
许得水，杜敬涛，李文达，杨铁军，李玩幽. 任意边界条件弹性杆结构扭转振动特性分析[J]. 振动与冲击, 2017, 36(1): 161-166.
XU Deshui, DU Jingtao, LI Wenda, YANG Tiejun, LI Wanyou. Torsional vibration characteristics of an elastic rod structure under arbitrary boundary conditions. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(1): 161-166.
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