Static Instability of a Restrained Cantilever Column with a Tip Mass Subjected to a Subtangential Follower Force-Reference-Cited by-同舟云学术

Static Instability of a Restrained Cantilever Column with a Tip Mass Subjected to a Subtangential Follower Force

Published:2013-08 Issue: Volume:345 Page:341-344
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Su Zhen Chao¹,Xue Yan Xia¹

Affiliation:

1. Shangqiu Institute of Technology

Abstract

Based on the theory of Bernoulli-Euler beam, the differential equation of a restrained cantilever column with a tip mass subjected to a subtangential follower force is constructed, the solution of the differential equation is found, and the existence of regions of divergence instability of the system is discussed. The influence of the follower force parameter η, the tip mass parameter β and an end elastic end support on the divergence instability of the column is investigated. Several numerical computations of some cases have completed.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.345.341.pdf

Reference6 articles.

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2. B. N. Rao and G. V. Rao, Applicability of static or dynamic criterion for the stability of a non-uniform cantilever column subjected to a tip-concentrated subtangential follower force. Journal of Sound and Vibration, 122(1) (1988), 188-191.

3. Z.C. Su, Yanxia Xue and Chengbin DU. Critical Force Analysis of a Cantilever Column Subjected to a Subtangential Follower Force and a Vertical force. Applied mechanics and materials, Vols. 138 -139, part 1 (2012), 3-8.

4. Yanxia Xue, Zhenchao Su and Peipei Pang. Closed-form Solution of Critical Force of a Cantilever Column with tip mass Subjected to a Subtangential Follower Force. Civil Engineering and Urban Planning 2012 (CEUP 2012), edited by Shuying Qu and Sen Lin. 164-167.

5. Kounadis, A. N, The Existence of Regions of Divergence Instability for Nonconservative Systems under Follower Forces, I. J. of Solids and Structures, Vol. 19, No. 8, 1983, pp.825-833.