Lagrange方程的矩阵形式

本文在Lagrange力学中尝试引入偏导数算符矩阵,给出了计算矩阵复合偏导数的公式,从而初步实现推理过程的矩阵运算化。Lagrange力学理论的矩阵化,不仅简化了基本规律的表述,而且为分析力学用于复杂问题提供了新的途径。

Lagrange's Equations of Motion in Matrix Form

In this paper, the partial derivative-operator matrixes are first introduced into Lag rang e,s mechanics, and we built up the formula calculating partial derivative to matrix, the element of whichall are composed functions.In such a case , Lagranges equations of motion in matrx form can be obtained. After the method of matrix calculation was used generally in Lagranges mechanics , not only expression of Lagranges equations of motion became simpler and clearer, but also the method given in the paper develop a new way to apply analytical mechanics to complex questions.