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变截面杆纵向和扭转振动分析的振型迭代法
摘    要:本文应用Newmark方法分析杆的纵向和扭转振动。将杆作自由振动的微分方程作降阶处理后,和梁的弯曲理论作类比,给出了一个迭代算法。计算表明,该法对寻求各种形状杆的自振频率是非常有效的。

关 键 词:纵向振动  振型迭代  Newmark法

LONGITUDINAL AND TORSINAL VIBRATION ANALYSIS FOR THE VAR1NG SECTION BARS BY THE MODE ITERATIVE METHOD
Sheng Hong Yu. LONGITUDINAL AND TORSINAL VIBRATION ANALYSIS FOR THE VAR1NG SECTION BARS BY THE MODE ITERATIVE METHOD[J]. Journal of Hefei University of Technology(Natural Science), 1989, 0(4)
Authors:Sheng Hong Yu
Affiliation:Sheng Hong Yu
Abstract:This paper applies the Newmark's method to analyse the longitudinal and torsinal vibration of bars.After reduce the bar's free vibration differential equation to a lower order, we analogize it to the bending theory of the beam and gives an iterative procedure.The calculation illustrates that this method is very efficient to the estimation of the natural frequencies for the various shapes of bars.
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