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单词 Generalized Coordinate
释义

Generalized Coordinate

中文百科

广义座标 Generalized coordinates

（重定向自Generalized Coordinate）
Open straight pathOpen curved path F(x, y) = 0Closed curved path C(x, y) = 0One generalized coordinate, one degree of freedom, on paths in 2d. Only one number is needed to uniquely specify positions on the curve, the examples shown are the arc length s or angle θ. Both of the Cartesian coordinates (x, y) are unnecessary since either x or y is related to the other by the equations of the curves. They can also be parameterized by s or θ.

广义坐标是不特定的坐标。假若，我们用一组广义坐标来导引方程序，所得到的答案，可以应用于较广泛的问题；并且，当我们最后终于设置这坐标时，答案仍旧是正确的。拉格朗日力学，哈密顿力学都需要用到广义坐标来表示基要概念与方程序。

英语百科

Generalized coordinates 广义座标

（重定向自Generalized Coordinate）
Open straight pathOpen curved path F(x, y) = 0Closed curved path C(x, y) = 0One generalized coordinate, one degree of freedom, on paths in 2d. Only one number is needed to uniquely specify positions on the curve, the examples shown are the arc length s or angle θ. Both of the Cartesian coordinates (x, y) are unnecessary since either x or y is related to the other by the equations of the curves. They can also be parameterized by s or θ.
Open curved path F(x, y) = 0. Multiple intersections of radius with path.Closed curved path C(x, y) = 0. Self-intersection of path.The arc length s along the curve is a legitimate generalized coordinate since the position is uniquely determined, but the angle θ is not since there are multiple positions for a single value of θ.

In analytical mechanics, specifically the study of the rigid body dynamics of multibody systems, the term generalized coordinates refers to the parameters that describe the configuration of the system relative to some reference configuration. These parameters must uniquely define the configuration of the system relative to the reference configuration. The generalized velocities are the time derivatives of the generalized coordinates of the system.
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更新时间：2025/6/20 8:30:27