摘要
用积分方程理论中的迭核理论,得到了楔形体振动的固有频率的一个区间估计。本方法不需要假设试函数,也不需要解超越方程,只要计算两个二重积分便可得到基本固有频率的上下限,并且取消了截面变化不大的限制,因此适用范围更广。
A interval estimation for natural frequency of wedged rod vibration is formed by integral equation theorem. Using the method, niether to assume trial functions nor to solve transcendental equations, but only to calculate two double integrations, both upper and lower limits of the fundamental natural frequency can be obtained. Then the restriction that the change of the rod cross section must be lesser (dealt with in previous reference) is removed. So the method is suitable for wider range.
关键词
弹性构件
杆
固有频率
振动分析
Elastic component
Bars
Natural frequency Vibration analysis
Integral equation
Charateristic value