基于振动频率法的吊杆内力识别研究

Research on Recognition of Internal Force of Boom Based on Vibration Frequency Method

基于振动频率法,利用无量纲参数并引入等效长度的概念,将固-固和固-铰的边界条件等效为两端铰接,通过迭代计算建立了无量纲参数与等效长度的关系曲线,使两端铰接边界条件下的短吊杆振动控制方程普遍适用。此方法将超越方程简化为一个拟合方程,简化了计算并提高了识别精度。最后通过数值计算验证了方法的适用范围与识别精度,并通过工程实例验证了其准确性。

Based on the vibration frequency method,using dimensionless parameters and introducing the concept of equivalent length,the boundary conditions of solid-solid and solid-hinge were equivalent to two-end articulation,and the relationship curve between dimensionless parameters and equivalent length was established through iterative calculations,So that the vibration control equation of the short boom under the boundary condition of the two ends hinged was universally applicable.This method simplified the transcendental equation into a fitting equation,simplified the calculation and improves the recognition accuracy.Finally,the applicable scope and recognition accuracy of the method were verified by numerical calculation,and its accuracy was verified by engineering examples.