On the motion of the pendulum on an ellipse

被引：0
|
作者：
El-Barki, FA [1 ]
Ismail, AI
Shaker, MO
Amer, TS
机构：
[1] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt
[2] Univ Alexandria, Fac Engn, Alexandria, Egypt
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1999年 / 79卷 / 01期
关键词：
D O I：
10.1002/(SICI)1521-4001(199901)79:1<65::AID-ZAMM65>3.0.CO;2-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present study, the motion of a pendulum on an ellipse is considered. The supported point of this pendulum moves on an elliptic path while the end point moves with arbitrary angular displacements. Applying Lagrange's equation, the equation, of motion, is obtained in terms of a small parameter epsilon. This equation represents a quasilinear system of second order which can be solved in terms of a generalized coordinate phi.
引用
收藏
页码：65 / 72
页数：8
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