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空间力系矩式平衡方程相互独立的几何条件

Geometric Conditions of Independent Momental Equations of Equilibrium for Three Dimensional Force System
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摘要 采用矢量分析方法讨论了空间任意力系矩式平衡方程相互独立的几何条件,首先给出了空间直线之间线性相关的几何条件,然后推导出空间力系六矩式平衡方程对取矩轴之间几何关系的限制条件,并指出力矩平衡方程相互独立的充要条件是取矩轴所在直线一定线性无关。 By vector analysis method,the geometric conditions of independent momental e-quations of equilibrium for three dimensional force system are discussed.The geometric con-ditions of spatial straight lines which are linearly corelated with each other are given first.The restrictive geometric conditions to six axis about which the momental equations ofequilibrium are taken are derived then. The necessary and sufficient condition which assuresthe momental equations of equilibrium for spatial force system be independent is that thestraight lines which coincide with the axis about which the momentes is taken are linearly in-dependent.
出处 《甘肃工业大学学报》 1994年第4期97-101,共5页 Journal of Gansu University of Technology
关键词 空间力系 线性 平衡方程 几何条件 space force system linear equilibrium equation geometric conditions char-acteristic quantity of straight line
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参考文献2

  • 1史希陶主编..理论力学[M].北京:高等教育出版社,1988:524.
  • 2胡守信编..理论力学[M].北京:高等教育出版社,1986:592.

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