Periodic Solutions of the Free Vibration of a Two Degree-of-Freedom Nonlinear Spring-Mass System

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概要

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• This is a fundamental analysis of periodic solutions of the free vibration of a two degree-of-freedom nonlinear spring-mass system. After transforming the differential equation under consideration into a canonical form, the relation between the initial values which yield periodic solutions and the period has been established. It has been proved that, by the perturbation method, the periodic solution and the period can actually be determined uniquely as powers of a small parameter. The condition that two masses vibrate in phase with each other has been ascertained. The calculation for a case with nonlinear terms of a cubic expression has been executed yielding the result that there holds the same relation between the amplitude and the period as in the case of a single degree-of-freedom nonlinear spring-mass system, if all of the three springs are either hard springs or soft ones.

• 一般社団法人日本機械学会の論文

著者

• Kuroda Michio

  College Of Technology Seikei University

関連論文

• A Study of the Numerical Solution of an Equation
• Periodic Solutions of the Free Vibration of a Two Degree-of-Freedom Nonlinear Spring-Mass System
• An Analysis of a Multi-Degree-of-Freedom System by a Dividing Method
• A Dividing Analysis of the Principal Vibrations of Multi-Degree-of-Freedom Linear Vibrating Systems

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