一类弧形弹性杆大变形的P-稳定性  

P-STABILITY FOR LARGE DEFORMATION OF CIRCULAR ELASTIC RODS

作　　者：文秋利[1] 黄先开[2] 

机构地区：[1]北京理工大学理学院,北京100081 [2]北京工商大学基础部,北京100037

出　　处：《北京工商大学学报（自然科学版）》2005年第6期59-62,共4页Journal of Beijing Technology and Business University:Natural Science Edition

基　　金：北京市自然科学基金资助项目(1042007)

摘　　要：基于大变形理论建立弧形弹性杆大变形的数学模型,弹性杆的一端固定,另一端自由且在中间受一竖直向下的集中力,所建立的模型可变换为摆动方程的边值问题.借助特征值法,研究相应弹性变形非平凡解的P-稳定性.Based on large deformation theory, the mathematical model of deformation of the elastic circular rod with one end fixed and the other free under the force load acting at the midpoint is established. The model is reduced to a boundary value problem for a pendulum equation. With the aid of eigenvalue, the P-stability of some non-trivial solutions of the mathematical model is achieved.

关 键 词：大变形 摆动方程 边值问题 P-稳定性 

分 类 号：O175.13[理学—数学]