摘要
提出了平衡裕度的新概念,并给出了保守力场中物体或系统静力平衡裕度的定义。以此为基础,分析计算了圆柱、圆台和圆锥体的静平衡裕度,并讨论了各几何参数的变化对平衡裕度的影响。文中提出了对静力平衡系统平衡状态差别的定量评价问题,并给出了利用平衡裕度对系统平衡状况进行定量分析的方法。文中提出的研究思路是一种新的系统安全评价方法,对其它系统的研究也有借鉴意义,研究结果对工程安全设计也有启发。
The difference of equilibrium features of cylinder, cone and frustum of a cone statically placed on a plane, is analyzed. A new concept of equilibrium margin for quantitative describing the equilibrium state of static systems is put forward, and the definition formulas of equilibrium margin for cylinder, cone and frustum of a cone are proposed by means of potential energy criterion for objects at static equilibrium in the gravitational field, the influences of the variations of geometric dimensions for an object on the margin are discussed in detail. A new method to system risk evaluation is also provided with the aid of the concept of equilibrium margin.
出处
《应用力学学报》
EI
CAS
CSCD
北大核心
2005年第2期325-328,i015,共5页
Chinese Journal of Applied Mechanics
关键词
圆柱
圆锥
圆台
静力平衡
平衡裕度
系统评价
cylinder, cone, frustum of a cone, equilibrium, equilibrium margin, calculation of risk.