不同支承条件下弯曲振动梁的频率方程及特征值

本文推导出两端带有扭转弹簧的铰支梁的弯曲振动频率方程，并由此导出一些特殊支承条件下的梁的振动频率方程，并用数值方法计算出不同支承条件下梁的特征值，本文还通过绘制变化曲线的方法，直观地说明了特征值随梁的刚度EI，长度L和弹簧弹性系数K三个参数的变化及相互影响的情况。

Frequency Equations and Eigenvalues of Different Supported Beams

The frequency equation of a pin-pin beam with the torsion springs at both ends has been derived in this article ,and then some special frequency equations for certain supporting conditions have been attained from the above equation.The eigenvalues of beams in different supporting conditions have been calculated by use of the numerical method.Through some changing curves,it is found that how the eigenvalues are influenced by the stiffness(EI),the length(L)of the beam and the coefficient of the torsion springs(K),and the interaction among three parameters have been discussed.