The Lagrange-D'Alembert Principle from the Viewpoint of ODE

TL;DR

This paper rigorously formulates the Lagrange-D'Alembert principle as a mathematical theory, highlighting new methodological aspects and aligning it with modern standards of mathematical rigor.

Contribution

It introduces a rigorous mathematical formulation of the Lagrange-D'Alembert principle, emphasizing new methodological insights.

Findings

New rigorous formulation of the principle

Identification of novel methodological aspects

Alignment with modern mathematical standards

Abstract

We formulate the Lagrange-D'Alembert principle as a pure mathematical theory that meets modern standards of rigor. While we note several new aspects of the principle, the article is primarily methodological.