A Newton - Euler Approach to the Freely Suspended Load Swinging Problem
Journal Title: RECENT - Year 2009, Vol 10, Issue 26
Abstract
The present article is dedicated to the creation of a mathematical model for solving the problem of swinging of a freely suspended load, the pivot point of which moves along a known, spatial, time dependent or position dependent trajectory. The motion of the pendulum is described as rotations about two mutually perpendicular axes. Thus, the Newton – Euler dynamic formulation is utilized and the equilibrium of a spherical pendulum under influence of a set of gravity and inertia forces and moments is considered. This approach leads to a system of two straightforward ordinary differential equations which could be solved numerically using any available solver. The solution is easy to programming and could be used for dynamic investigation of the scope of different types of equipment.
Authors and Affiliations
Bojidar GRIGOROV, Rosen MITREV
Keywords
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