2 点吊り振子の非線形振動の基礎解析

概要

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Using Taylor series expansion of geometric expressions by angular variables from an equilibrium rest state, theswinging motion of a bifilar suspension pendulum can be approximated well and the applicability is evaluated here in sometypical swing configurations. Such expansion procedure is needed to solve equations of motion numerically since the exactexpressions are still hard to treat as functions of time without approximation. The second order term in the horizontal and thefourth order term in the vertical are taken to express the displacements, for which the energy is assigned up to the fourth orderterms. Based on this formulation, numerical computations are made to have the swinging mode of oscillations. The resultsshow the typical features of nonlinear oscillations with symmetry-breaking.
2010-01-31