【摘要】 本文不采用平面假设来研究梁的弯曲自由振动 ,也不采用剪切型振动假设来研究短粗梁的自由振动 ,而用弹性力学的位移法导出了梁的自由振动微分方程 ,并推导了简支梁的自振频率的统一公式 ,其特殊情况即为有附加假设的自振频率公式更多还原

【Abstract】 This paper have studied the free vibration of the beam without using plane assumption and the shear vibration assumption for shorter beam.It is used the displacement method of the elasticity theory to present the vibration differential equations and this paper present the unite of formula of the free vibration frequency of the simple beam.These are attach assumptions frequency formula can be presented from this unite of the frequency formula when the beam is under the special conditions.更多还原