摩擦作用下直杆在对称斜面间的稳定平衡分析

发布时间：2018-01-01 22:06

本文关键词：摩擦作用下直杆在对称斜面间的稳定平衡分析　出处：《力学季刊》2016年02期 　论文类型：期刊论文

【摘要】：摩擦提供的约束反力在由正应力所确定的范围之内.对称平板支承下的直杆在水平状态时平衡,但重心最高,因而没有摩擦时不能稳定平衡;摩擦作用下直杆平衡的倾角范围与平板坡度相关,可依据摩擦力达到极限值确定;若直杆与平板夹角小于90o,则平衡是稳定的,否则将跳跃到一侧平板,且摩擦角小于板面倾角时下滑到底部.支承板倾角变化时,处于稳定平衡状态的直杆将在一端发生滑移:倾角增大则高端向上、减小则低端向下,以使直杆重心位置较低.若支承板倾角作周期性变化,则直杆将逐渐倾斜而失稳:下滑到底部或跳跃到一侧平板.摩擦使力学系统具有非线性特征,其平衡位置可以在状态参数连续变化时发生跳跃.
[Abstract]:The friction constraint force within the range determined by the normal stress. The straight rod supports symmetric slab balance in the horizontal position, but the focus is the highest, so there is no friction when not stable equilibrium; under the action of friction straight rod angle range and flat slope, on the basis of the friction force reaches the limit value is determined; if the straight rod and plate angle is less than 90o, the balance is stable, otherwise it will jump to the side of the plate, and the friction angle is less than the surface dip down to the bottom. The supporting plate angle, straight rod in a stable equilibrium state will be in the end: slip angle increases is to decrease the high-end, low-end downward. In order to make the straight rod position of the center of gravity is low. If the plate angle changes periodically, straight rod will gradually tilt and instability: fell to the bottom or jump to one side plates. The mechanical system with nonlinear friction characteristics, its equilibrium position The position can be leaped when the state parameters are continuously changed.

【作者单位】：河南理工大学能源科学与工程学院;
【分类号】：O313.5
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