机械设计手册一组力学公式的探讨

Discussion on a Group of Mechanical Formulas in Mechanical Design Manual

机械设计类手册往往给出了常见的四滑块工作台直线运动载荷计算公式,其中一组力学计算公式的使用条件是:工作台水平使用(滑块运动),匀速运动或静止时,外加载荷W不与工作台中心重合。根据实践中对该组计算公式的使用情况,文中对公式正确性提出了质疑;然后对该组公式进行了理论推导,得到了一组与手册中不相同的载荷计算公式,并进一步推导了该载荷计算公式的简化表达式,其直观性强,易记易用;最后利用Creo 5.0进行有限元分析,对文中推导载荷计算公式的应用结果进行了验证。

Mechanical design manuals often give common calculation formulas for the linear motion load of a four-slider workbench.The use conditions of a group of mechanical calculation formulas are that the workbench is used horizontally(slider movement),and the application is applied when moving at a constant speed or at rest,the load W does not coincide with the center of the table.This paper raises questions about the correctness of the formulas based on the use of this set of calculation formulas in the work;then theoretically derives the set of formulas,and obtains a set of load calculation formulas that are different from those in the manual.The simplified expression of the load calculation formula is further deduced,which is intuitive,easy to remember and easy to use.Creo 5.0 is used to perform finite element analysis to verify the application results of the derived load calculation formula.