任意边界条件弹性杆结构扭转振动特性分析

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (1) : 161-166.

论文

任意边界条件弹性杆结构扭转振动特性分析

许得水，杜敬涛，李文达，杨铁军，李玩幽

作者信息 +

Torsional vibration characteristics of an elastic rod structure under arbitrary boundary conditions

XU Deshui, DU Jingtao, LI Wenda, YANG Tiejun, LI Wanyou

Author information +

文章历史 +

摘要

采用改进傅立叶级数方法建立了任意边界条件弹性杆扭转振动特性预报模型。针对传统傅立叶级数在扭振边界处存在的位移导数不连续问题，通过改进傅立叶级数的方法改善解的收敛性和准确性。弹性杆结构扭振微分方程与任意边界条件方程进行联合求解，得到弹性杆扭振问题的特征矩阵方程。数值算例分析结果充分验证了本文模型的可行性与正确性。

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.

导出引用

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[J]. Journal of Vibration and Shock, 2017, 36(1): 161-166

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