Periodic behavior of a cantilever beam with end mass subjected to harmonic base excitation

被引：71

作者：

Esmailzadeh, E ^{[1
]}

Nakhaie-Jazar, G ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Mech Engn, Tehran, Iran

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1998年 / 33卷 / 04期

关键词：

non-linear parametric vibration; periodicity condition; Green's function; fixed point theorem; Matheiu's equation; base excitation; stability condition;

D O I：

10.1016/S0020-7462(97)00038-3

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A massless cantilever beam with a lumped mass attached to its free end while being excited harmonically at the base is fully investigated. The derived equation of vibrating motion is found to be a non-linear parametric ordinary differential equation, having no closed form solution for it. We have, therefore, established the sufficient conditions for the existence of periodic oscillatory behavior of the beam using Green's function and employing Schauder's fixed point theorem. (C) 1997 Elsevier Science Ltd.

引用

页码：567 / 577

页数：11

共 19 条

[1] A NOTE ON OPTIMAL-DESIGN OF A BEAM WITH A MASS AT ITS END [J].