圆形截面杆纯弯曲回弹弯矩的计算

Calculation of Re-spring Bending Moment for Beams of Circular Section

分析了圆形截面梁 (杆 )弹塑性纯弯曲回弹应力应变的变化过程 ,利用回弹应力应变函数、平衡条件和变形协调条件求出回弹曲率 (公式 [4])及回弹弯矩 (公式 [5 ])。发现经典纯弯曲理论把塑性弯曲时回弹弯矩定义成弹塑性弯矩 ,在回弹计算时存在较大理论误差。

This paper analyzes the changing process of the stress and the strain of pure plastic bending re-spring for beams of circular section.According to the function on stress and strain of re-spring,the condition of the balance of force and the coordination of deform,calculating for mulas ?of re-spring curve and re-spring bending moment are inferred.The result shows that there is more tolerance of theory between the formulaand the method of taking elastic-plastic bending moment as re-spring bending moment according to the classically pure bending theory.