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投影平面变换求解空间任意力系的研究

  

  • 出版日期:2016-04-28 发布日期:2016-05-20

Solving Spatial Arbitrary Force System with Projection Plane#br# Transforming Method

  • Online:2016-04-28 Published:2016-05-20

摘要: 在画法几何中,投影平面变换可以改变空间几何元素相对于投影面的位置,使新投
影更有利于解题。在静力学中,力矢量可以用直线段表示,空间任意力系的平衡问题可转化成直
线之间的图示和图解,文章试图将投影平面变换的优点结合到空间任意力系的平衡求解中,使问
题得到直观地解决。以CAD 为作图工具并以编程为辅,以保证作图的精度和速度,为求解空间
任意力系提供了一种实用有效的方法。

关键词: 投影平面变换, CAD, 空间力系, 力系平衡

Abstract: The projection plane transforming method can change the spatial geometric element’s
position relative to the plane of projection in the descriptive geometry and the new projection is more
conductive to solving problems. In the statics, the vector force can show in a straight line, the
equilibrium problem of spatial arbitrary force system can turn into the diagram and legend among the
line, this paper tries to combine the strengthen of projection plane transforming method into solving of
the equilibrium problem of spatial arbitrary force system in a direct way. Using CAD as a drawing tool
can ensure the mapping precision and speed, which is a practical and effective method to solve the
spatial arbitrary force system.

Key words: projection plane transforming, CAD, spatial arbitrary force system, equilibrium of forces