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Stability Analysis of Beck's Column with a Tip Mass Restrained by a Spring

스프링으로 지지된 자유단에 집중질량을 갖는 Beck 기둥의 안정성 해석

  • Published : 2005.11.01

Abstract

The purpose of this paper is to investigate free vibrations and critical loads of the Beck's columns with a tip spring, which carry a tip mass. The ordinary differential equation governing free vibrations of Beck's column subjected to a follower force is derived based on the Bernoulli-Euler beam theory Both the divergence and flutter critical loads are calculated from the load-frequency corves that are obtained by solving the differential equation numerically. The critical loads are presented in the figures as functions of various non-dimensional system parameters such as the subtangential parameter, mass ratio and spring parameter.

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