摘要
研究一端固定,另一端自由且在其中间受一竖直向下的集中力,自由端受一水平向左的集中力的平面半圆形弹性杆的大变形.通过建立相应的数学模型,利用流形法画出模型解的分支图,进而分析系统的分支特性和多解性,并得到变形后弹性杆的形状.
The large deformation of the elastic half rings with one end fixed and the other free under the force load acting at the midpoint and the free end is studied. By establishing the mathematical model, the configurations of the deformed rod and the bifurcation diagram was obtained by the manifold method. With the aid of the bifurcation diagram, the bifurcation and multiplicity of the model is discussed furtherly.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第21期218-223,共6页
Mathematics in Practice and Theory
关键词
大变形
流形法
分支图
多解性
large deformation
manifold method
bifurcation diagram
multiplicity
