门架的振动分析及其现场测试结果

• 作 者: 沈一飞
• 机 构: 上海海运学院力学教研室
• 出 处: 上海海运学院学报
• 发表日期: 1980年03期
• 关键词: 门架 振动分析 振形 频率方程 纵向振动 线性振动 对称振型 振动频率 实测波形 计算频率

本文分析了当门架上梁带集中质量时的线性振动问题,综合考虑了横向和纵向振动两个方面,从拐角的连续和平衡条件,推得了在不同支座条件下的频率方程的解析式,并且作了应用计算。所得结果与实测作了对照,相当吻合。门架由三根杆组成,但采用本文的分析方法,可推广到更多杆组成的情形。文中还推导了直杆带任意个质量时横向和纵向振动的频率方程,可用来计算带质量单杆的振动频率。

This paper analyzes the linear vibration problem of the gantry with the concentrated mass of the gantry. Considering both the transverse and the longitudinal vibration, the formulas of the frequency equation under different support conditions are derived from the continuous and equilibrium conditions of the corner. , And made the application calculation. The results obtained with the actual control, quite consistent. The gantry is made up of three rods, but using the analysis method in this article, it can be generalized to more rods. The paper also derives the frequency equations of horizontal and vertical vibration of straight bar with arbitrary mass, which can be used to calculate the vibration frequency of single bar with mass.