丁文镜, 曾杰, 樊世超. 有摩擦斜梯平衡问题的非静定性[J]. 工程力学, 2000, 17(5): 32-36.
引用本文: 丁文镜, 曾杰, 樊世超. 有摩擦斜梯平衡问题的非静定性[J]. 工程力学, 2000, 17(5): 32-36.
DING Wen-jing, ZENG Jie, FAN Shi-chao. STATIC INDETERMINATENESS OF EQUILIBRIUM PROBLEM OF LADDER WITH FRICTION[J]. Engineering Mechanics, 2000, 17(5): 32-36.
Citation: DING Wen-jing, ZENG Jie, FAN Shi-chao. STATIC INDETERMINATENESS OF EQUILIBRIUM PROBLEM OF LADDER WITH FRICTION[J]. Engineering Mechanics, 2000, 17(5): 32-36.

有摩擦斜梯平衡问题的非静定性

STATIC INDETERMINATENESS OF EQUILIBRIUM PROBLEM OF LADDER WITH FRICTION

  • 摘要: 本文研究有摩擦斜梯平衡问题,这是一个非静定力学问题。因其涉及摩擦力,故为非线性问题。首先导出上下两端摩擦系数间的函数关系,研究平衡稳定性问题。接着建立斜梯临界倾角、主动力位置参数和摩擦系数间的解析关系。最后确定法向约束力的值域以及它与摩擦系数和位形参数间的关系。

     

    Abstract: This paper approaches equilibrium problem of ladder. Friction forces at two ends of ladder are considered. It is a static indeterminate and nonlinear problem.. Functional relation between two coefficients of friction at the ends of ladder is deduced. Stability of equilibrium of ladder is discussed. Value domain of two normal constraint reactions at ends of ladder is determined. Relation among normal constraint reactions and coefficients of friction and position parameters of ladder is found. Formulas of critical inclination of ladder and allowable height of active force are deduced.

     

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