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http://dx.doi.org/10.5050/KSNVN.2005.15.11.1287

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

Li, Guangfan (Department of Civil Engineering, Hainan University)
Oh, Sang-Jin (Department of Civil Engineering, Namdo Provincial College)
Kim, Gwon-Sik (Wonkwang University)
Lee, Byoung-Koo (Department of Civil Engineering, Wonkwang University)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.15, no.11, 2005 , pp. 1287-1294 More about this Journal
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.
Keywords
Beck's Column; Divergence Critical Load; Flutter Critical Load; Flutter Frequency; Follower Force; Tangential Follower Force; Subtangential Follower Force;
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