力学与实践 ›› 2017, Vol. 39 ›› Issue (1): 61-67.DOI: 10.6052/1000-0879-16-234

• 应用研究 • 上一篇    下一篇

直梁靠模成形变分原理问题的探讨

陈英杰, 雷周, 宋锦威, 吴静瑶   

  1. 燕山大学建筑工程与力学学院, 河北秦皇岛 066004
  • 收稿日期:2016-07-11 修回日期:2016-09-08 出版日期:2017-02-15 发布日期:2017-02-24
  • 通讯作者: 陈英杰,教授.E-mail:cyjysu@ysu.edu.cn

THE VARIATIONAL PRINCIPLE FOR A PROFLLING FORMING STRAIGHT BEAM

CHEN Yingjie, LEI Zhou, SONG Jinwei, WU Jingyao   

  1. College of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, Hebei, China
  • Received:2016-07-11 Revised:2016-09-08 Online:2017-02-15 Published:2017-02-24

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

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 proflling forming straight beam. According to the calculation results, the deflection equations of the proflling forming straight beam can be derived with the application of the variational principles of potential energy and complementary energy.

Key words:

variational principle|proflling forming|straight cantilever beam|boundary conditions

中图分类号: