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直梁靠模成形变分原理问题的探讨
引用本文:陈英杰,雷周,宋锦威,吴静瑶.直梁靠模成形变分原理问题的探讨[J].力学与实践,2017,39(1):61-67.
作者姓名:陈英杰  雷周  宋锦威  吴静瑶
作者单位:燕山大学建筑工程与力学学院, 河北秦皇岛 066004
摘    要:对矩形截面的理想弹塑性直梁在靠模成形过程中边界待定问题,用势能变分原理推导出理想弹塑性材料的靠模悬臂梁弯曲成形的挠曲线方程,从而得到直梁靠模成形的弯曲问题的解.计算表明,推导出的直梁靠模成形的挠曲面方程可应用于工程实际.

关 键 词:变分原理  靠模成形  悬臂直梁  边界条件
收稿时间:2016-07-11

THE VARIATIONAL PRINCIPLE FOR A PROFILING FORMING STRAIGHT BEAM
CHEN Yingjie,LEI Zhou,SONG Jinwei,WU Jingyao.THE VARIATIONAL PRINCIPLE FOR A PROFILING FORMING STRAIGHT BEAM[J].Mechanics and Engineering,2017,39(1):61-67.
Authors:CHEN Yingjie  LEI Zhou  SONG Jinwei  WU Jingyao
Institution:College of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, Hebei, China
Abstract:Based on the variational principle of unknown boundaries formed in the forming process of an ideal elastoplastic straight beam of rectangular section,this paper carries out the variational calculation of the potential energy to derive the deflection curve equation of a cantilever beam bending mode,and to obtain the solution to the bending of the profiling forming straight beam.According to the calculation results,the deflection equations of the profiling forming straight beam can be derived with the application of the variational principles of potential energy and complementary energy.
Keywords:variational principle  profiling forming  straight cantilever beam  boundary conditions
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