摘要
采用改进的分跨联立方法,结合相邻两跨支座处的位移、转角和弯矩的关系,推导了多跨连续梁自由振动方程的解析解;获得了连续梁的频率方程和振型方程,通过算例,验证了两个方程的准确性,并基于连续梁的频率方程,对连续梁的自振频率进行参数敏感性分析,研究了跨度比和抗弯刚度对自振频率的影响规律。
Applying the improved dividing span and simultaneous equation method,combining with the adjacent two-span bearing relationship of displacement,torsion angle and bending moment,the paper induces the analytical solution of multi-span continuous-beam free-vibration equation,and obtains frequency equation and vibration equation of continuous beam,and testifies the accuracy of two equations through calculation cases. Based on continuous beam frequency equation,it carries out parameter sensitivity analysis of natural vibration frequency of continuous beam,and finally studies the influential law of span-ratio and flexural rigidity upon natural vibration frequency.
出处
《山西建筑》
2016年第12期34-36,共3页
Shanxi Architecture
关键词
连续梁
频率方程
自振频率
跨度比
抗弯刚度
continuous beam
frequency equation
natural vibration frequency
span-ratio
flexural rigidity
