“Lagrange’s equation”的概念、定义、翻译、参考文献-科学参考

Lagrange’s equation

Electronics and Electrical Engineering

A differential equation whose use provides a systematic unified approach for handling a broad class of physical systems (containing both electrical and mechanical components), no matter how complex their structure. Lagrange’s equation is given by
$\frac{d}{d t} (\frac{\partial T}{\partial {q ˙}_{n}}) - \frac{\partial T}{\partial q_{n}} + \frac{\partial D}{\partial {q ˙}_{n}} + \frac{\partial V}{\partial q_{n}} = Q_{n} n = 1, 2, 3 \dots$
where T is the total kinetic energy and V the total potential energy of a system, D is the dissipation function of the system, Q_n is the generalized applied force at the coordinate n, q_n is the generalized coordinate, and ${q ˙}_{n} = d q_{n} / d t$ (generalized velocity).

单词	Lagrange’s equation
释义	Lagrange’s equation Electronics and Electrical Engineering A differential equation whose use provides a systematic unified approach for handling a broad class of physical systems (containing both electrical and mechanical components), no matter how complex their structure. Lagrange’s equation is given by $\frac{d}{d t} (\frac{\partial T}{\partial {q ˙}_{n}}) - \frac{\partial T}{\partial q_{n}} + \frac{\partial D}{\partial {q ˙}_{n}} + \frac{\partial V}{\partial q_{n}} = Q_{n} n = 1, 2, 3 \dots$ where T is the total kinetic energy and V the total potential energy of a system, D is the dissipation function of the system, Q_n is the generalized applied force at the coordinate n, q_n is the generalized coordinate, and ${q ˙}_{n} = d q_{n} / d t$ (generalized velocity).
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