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.
出处
《化工高等教育》
2013年第5期94-96,共3页
Higher Education in Chemical Engineering
关键词
等强度梁
有限元法
形状优化
Equi strength beam
Finite element method
Shape optimization
