弹性支承梁固有频率影响因素研究  

Influencing Factors of Elastic Supported Beams Frequency

作　　者：马晨光[1] 刘昌洪[1] 陈晓岚[1] 

机构地区：[1]北京电子工程总体研究所,北京100854

出　　处：《现代防御技术》2015年第3期43-48,共6页Modern Defence Technology

摘　　要：通过将折叠舵简化为梁模型来研究一种典型结构折叠舵频率的影响因素。对于梁内出现的弹性支承情形,采用了以分段表示的运动微分方程、简支和自由边界条件以及弹性支承处连续性条件来描述。根据梁的振动的基本方程,推导出弹性支承弯曲振动梁的频率方程的解析表达式,并利用数值方法计算出在不同条件下弯曲振动梁的频率,研究弹簧刚度,有效比刚度,以及支承点位置对固有频率的影响。The frequencies of a typical structure folding rudder are investigated by simplifying the folding rudder into a beam. For beams with internal elastic supports, the vibration equations at each sec- tion and continuous conditions at internal elastic supports as well as boundary conditions are given. Based on the bending vibration differential equation and its general solution of the beams, the analytical expres- sions of frequency equation of bending vibration beams with the elastic support are derived. And the fre- quencies are calculated by using numerical method. The influences on the frequency by the coefficient of the spring, the specific stiffness and the location of the elastic support are analyzed.

关 键 词：弹性支承 振动方程 弹簧刚度 比刚度 支承位置 

分 类 号：TJ761.13[兵器科学与技术—武器系统与运用工程] TJ760.3