G101085 Some Features of Inertia Type Nonlinear Terms in Nonlinear Oscillation

Abstract

In addition to the usual static nonlinear terms due to potential energy in many oscillation systems,inertia type nonlinear terms are involved in equations of motion,which may work as hardening/softening,depending on an angular frequency of forcing.The mechanism is revealed in this report using method of harmonic balance and method of multiple scales and numerical computations,to be expected to apply effectively to mitigation.