Euler-Bernoulli equation two and a half centuries later

摘要

Euler and Bernoulli did not define the mathematical model of a link with an infinite number of modes, but D. Bernoulli defined the motion solution (shape of an elastic line). In this paper, “New form of the Euler-Bernoulli equation” has been defined and it has been directly derived from “Source form of the Euler-Bernoulli equation”, modern robotic knowledge and on the principles of classical mechanics.