Calculus of variations is used to derive a mathematical model for a single-link flexible manipulator. The solutions of the resulting characteristic equation are the natural frequencies of the beam.

Applied mathematics is a dynamic and interdisciplinary field that develops and utilises mathematical methods to resolve complex problems in science, engineering, finance and beyond. It encompasses a ...

This is a preview. Log in through your library . Abstract In this paper, Bernstein polynomials method (BPM) and their operational matrices are adopted to obtain approximate analytical solutions of ...