混杂边界轴向运动Timoshenko梁固有频率数值解

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (7) : 245-249.

论文

混杂边界轴向运动Timoshenko梁固有频率数值解

胡超荣1; 丁虎2; 陈立群1,2

作者信息 +

NATURAL FREQUENCY SIMULATION OF AXIALLY MOVING TIMOSHENKO BEAMS WITH HYBRID BOUNDARY

Hu Chao-rong1; Ding Hu2; Chen Li-qun1,2

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文章历史 +

摘要

运用微分求积方法求解两端带有扭转弹簧且弹簧系数均可任意变化的非对称下的轴向运动Timoshenko梁的固有频率。以权系数修改法处理轴向运动Timoshenko梁的混杂边界。研究系统的前两阶固有频率随轴向速度、刚度系数以及弹簧弹性系数变化的情况，并将数值计算结果与半解析半数值的研究结果进行比较，结果表明，数值计算结果与半解析半数值结果基本吻合。

Abstract

The differential quadrature method is developed to solve natural frequency of axially moving asymmetric hybrid supports Timoshenko beams, which have randomly-variable spring index at both sides. The weighting coefficient matrices to implement are modified for solving the hybrid boundary. The axially moving speed, the stiffness of the beam and the constraint stiffness are numerically investigated for the influence of the first two orders of the natural frequency, and the results are compared with the conclusion of semi-analytical and semi-numerical. The results show that the numerical results with the semi-analytical and semi-numerical results are basically consistent.

导出引用

胡超荣;丁虎;陈立群;. 混杂边界轴向运动Timoshenko梁固有频率数值解[J]. 振动与冲击, 2011, 30(7): 245-249

Hu Chao-rong; Ding Hu; Chen Li-qun;. NATURAL FREQUENCY SIMULATION OF AXIALLY MOVING TIMOSHENKO BEAMS WITH HYBRID BOUNDARY[J]. Journal of Vibration and Shock, 2011, 30(7): 245-249