两端受套筒约束轴向运动梁的横向振动固有频率和模态函数

李彪;丁虎;陈立群;

振动与冲击 ›› 2010, Vol. 29 ›› Issue (9) : 55-57.

PDF(697 KB)
PDF(697 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (9) : 55-57.
论文

两端受套筒约束轴向运动梁的横向振动固有频率和模态函数

  • 李彪1 ;丁虎2;陈立群1,2
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NATURAL FREQUENCIES AND MODEL FUNCTION OF TRANSVERSE VIBRATION OF AN AXIALLY MOVING BEAM CONSTRAINED BY ROTATING SLEEVES WITH ROTATIONAL SPRINGS

  • Li biao1 ;Ding hu2 ;Chen Liqun1,2
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摘要

摘要 研究两端带有扭转弹簧且弹簧系数可任意变化的混杂边界下的轴向运动梁的横向振动。利用混杂边界条件推导任意弹簧系数的系统特征方程以及模态函数。运用数值方法计算系统的固有频率和模态函数。通过数值算例,讨论了弹簧系数对前四阶固有频率随轴向速度变化的影响,以及弹簧系数与系统复模态函数的关系。




Abstract

Abstract The research about the transverse vibration of axially moving beam with torsion spring, which has randomly-variable spring index at both sides. The transcendental equation and the eigenfunction are established by boundary condition. The first four natural frequencies and corresponding model function are numerically solved. Numerical examples are presented for the natural frequencies and the model function to demonstrate the effect of the constraint stiffness.

关键词

轴向运动梁 / 固有频率 / 横向振动 / 模态函数

Key words

Axially moving beam / Transverse vibration / Natural frequency / Modal function

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李彪;丁虎;陈立群;. 两端受套筒约束轴向运动梁的横向振动固有频率和模态函数[J]. 振动与冲击, 2010, 29(9): 55-57
Li biao;Ding hu;Chen Liqun;. NATURAL FREQUENCIES AND MODEL FUNCTION OF TRANSVERSE VIBRATION OF AN AXIALLY MOVING BEAM CONSTRAINED BY ROTATING SLEEVES WITH ROTATIONAL SPRINGS[J]. Journal of Vibration and Shock, 2010, 29(9): 55-57

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