cyclic coordinate

This paper discusses how to use the Legendre’s transformation to transform the Lagrange’s dynamical equations into the Hamiltonian canonical equations and further, it provides a way of using the canonical transformation to change the generalized coordinate into the cyclic coordinate.

本文探讨了如何用勒让德 ( Legendre)变换将动力学系统的拉格朗日 ( Lagrangian)方程变为哈密顿 ( Hamiltonian)正则方程 ,并进一步探讨了如何用正则 ( Canonical)变换把广义坐标变为循环坐标 ,使哈密顿正则方程易于求解。

The cases where transversely isotropy rotates along three axes are often studied,and the concept of circle coordinate system is presented in order to depict them generally.

一般研究横向各向同性介质沿三个坐标轴方向旋转得到的倾斜横向各向同性介质,为了方便统一描述这类不同旋转方向的各向异性介质,提出了循环坐标系统的概念。

In this paper a ring coodinates was developed,and differrential equations of equilibrium,geometrical equations and constitutive equations in the ring coodinates were derived.

为此提出一种环坐标 ,并研究在环坐标下的平衡微分方程、几何方程以及本构方程 。