摘要
提出了两种求解带圆环约束的横梁自由振动方法,并利用两种方法分别推导出带圆环约束横梁的固有频率方程及模态函数。比较两种算法所得梁的振动模态,发现并提取了两者之间的相似模态。通过实际算例得到了两种算法所求得的各阶相似模态固有频率的误差。改变带圆环约束横梁的结构参数后,分析了各参数对两种算法所得相似模态固有频率误差的影响,以及误差存在的原因,确定了两种算法的适用范围。
Two solution methods of a beam for a combined ring-beam free vibration were pro- posed. Using two methods,the natural frequency equation and modal functions for a combined ring- beam were deduced respectively. Comparing beam vibration mode solutions by the two algorithms, the similar modes were found and extracted from two algorithms. Through a practical example, the natural frequency relative errors of similar modes by two kinds of algorithm were obtained. Changing the com- bined ring-beam structural parameters, the effect of parameters on similar mode natural frequency relative error by two kinds of algorithm was analysed and the causes of errors were discoved and two algorithm applicable scopes were identified.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2013年第10期1340-1344,共5页
China Mechanical Engineering
