文献类型：期刊文献

中文题名：基于有限元形状优化方法实现等强度梁的探讨

英文题名：A Study of Shape Optimization for Equi-strength Beam by Finite Element Method

作者：刘长虹[1];李超[1];庞富龙[1];赵硕[1];柯敏辉[1]

机构：[1]华东理工大学 承压系统与安全教育部重点实验室,上海200237

年份：2013

卷号：30

期号：5

起止页码：94

中文期刊名：化工高等教育

外文期刊名：Higher Education in Chemical Engineering

收录：国家哲学社会科学学术期刊数据库

语种：中文

中文关键词：等强度梁;有限元法;形状优化

外文关键词：Equi strength beam; Finite element method; Shape optimization

摘要：为了应用有限元形状优化方法,获得材料力学中简支梁的等强度梁结构,我们首先建立简支梁的平面有限元模型,进行形状优化,得到了平面等强度梁的结果;然后建立三维简支梁的有限元模型,计算得到形状优化的三维等强度梁结果。将材料力学中等强度梁与有限元形状优化结果比较可知,两者结论一致。进而,如果选择不同的优化区域则可以得到不同的结果。这说明应用有限元形状优化方法建立等强度梁,可以方便学生理解材料力学等强度梁的内容,激发学习兴趣。
In order to get an equi-strength beam shape with the shape optimization of finite element meth- od,what we have done is as follows：A simple supported beam in the plain finite element model is built and the model is solved by the shape optimization function. Then the three-dimensional finite element modeling of simplesupported beam is establishment. The resultof shapeoptimization of three dimensional equi-strength beamsis calculated. Comparing theory of the material mechanics with those results in finite element method, the conclusions are the same. By deduction, if you select a different optimal range the resultis different. The method shows that the students can easily understand the contents and it can also stimulate the student＇s study interest.