A kind of root lock mechanism with a space deployable mast in a space probe was analyzed and simplified into a kind of mechanism with two sliders and a spring. First, using the vibration analysis method, movement of the mechanism was studied to obtain an expression of the ideal movement of the #2 slider. Then, mathematical models of backlash in movement pairs were analyzed. Kinetic equations of components of the mechanism were set up according to analysis of forces on them. At last, mathematical simulation was applied to check the correctness of theory analysis and effects of pair backlash on movement precision. It was concluded that matching precisions at different positions have different influence on movement precision of the mechanism. Improving matching precision of pairs and hinge on the #2 slider can heighten movement precision of the mechanism, but the same is not true for the #1 slider. The analysis can analyze the influence of movement pairs on movement of a mechanism and make reasonable matching precisions in order to decrease the cost of manufacturing.%针对一种航天器上伸展臂的根部锁紧机构,通过分析将其简化为一种带弹簧的双滑块机构.根据此机构的运动分析,利用振动分析方法,获得了理想状态下滑块2的位移表达式.通过对铰链和移动副间隙数学模型的分析,结合各构件的受力分析,获得了机构中各构件的动力学方程.通过仿真来验证理论分析的正确性和各运动副间隙对机构运动精青度的影响.得出结论:不同位置的配合精度对机构的运动精度影响是不同的,提高滑块2上铰链和移动副的配合精度可以显著提高机构运动精度,而滑块1与其他构件的配合精度对机构运动精度影响较小.该分析方法能够确定各运动副间隙对机构运动的影响,有利于构件间配合精度的选择和减小制造加工成本.
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