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针对一种三线摆水平隔振器,首先在某一特定方向上建立了以摆动角θ为广义坐标的拉格朗日方程.在某一摆动角下,将立体图形投影到一个平面上,通过几何关系的求解,将方程中所有变量转化为广义坐标θ的函数,得到了机构水平摆动固有频率的表达式.然后根据表达式分析了机构结构参数对机构水平摆动固有频率的影响.利用MATLAB得到一些仿真结果,通过分析得知增大负载支撑高度可以降低机构固有频率,但同时会增加机构的高度.而在保证机构稳定的前提下,根据整体设备的高度要求,通过增大固定盘与摆动盘直径比、减小固定盘与摆动盘距离和支撑高度之比,可以达到降低固有频率而不过分增加机构高度的目的.
For a three-line horizontal vibration isolator, a Lagrangian equation is first established in a particular direction with the swing angle θ as a generalized coordinate. At a certain swing angle, the three-dimensional figure is projected on a plane and passed The geometric relation is solved by transforming all the variables in the equation into a function of generalized coordinate θ, and then the expression of the natural frequency of the mechanism is obtained. Then the influence of the structural parameters of the mechanism on the natural frequency of the mechanism is analyzed based on the expression. Some simulation results show that increasing the height of the load support can reduce the natural frequency of the mechanism, but at the same time it will increase the height of the mechanism.And under the premise of ensuring the stability of the mechanism, according to the requirements of the overall equipment height, by increasing the fixed disk and swing The ratio of the disc diameter reduces the ratio of the distance between the fixed disc and the wobble plate and the height of the support bar to achieve the purpose of reducing the natural frequency without excessively increasing the height of the mechanism.