On the derivation of the equations of motion for a parametrically excited cantilever beam

被引：12

作者：

Forehand, DIM ^{[1
]}

Cartmell, MP ^{[1
]}

机构：

[1] Univ Glasgow, Dept Mech Engn, Glasgow G12 8QQ, Lanark, Scotland

来源：

JOURNAL OF SOUND AND VIBRATION | 2001年 / 245卷 / 01期

关键词：

D O I：

10.1006/jsvi.2000.3530

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

引用

页码：165 / 177

页数：13

共 10 条

[1] Experimental verification of the importance of the nonlinear curvature in the response of a cantilever beam [J].

Anderson, TJ ;

Nayfeh, AH ;

Balachandran, B .

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1996, 118 (01) :21-27

[2] THE RESONANCES OF STRUCTURES WITH QUADRATIC INERTIAL NONLINEARITY UNDER DIRECT AND PARAMETRIC HARMONIC EXCITATION [J].

ASHWORTH, RP ;

BARR, ADS .

JOURNAL OF SOUND AND VIBRATION, 1987, 118 (01) :47-68

[3] NONLINEAR VIBRATORY INTERACTIONS IN SYSTEMS OF COUPLED BEAMS [J].

BUX, SL ;

ROBERTS, JW .

JOURNAL OF SOUND AND VIBRATION, 1986, 104 (03) :497-520

[4] THE EQUATIONS OF MOTION FOR A PARAMETRICALLY EXCITED CANTILEVER BEAM [J].

CARTMELL, MP .

JOURNAL OF SOUND AND VIBRATION, 1990, 143 (03) :395-406

[5]

CARTWELL MP, 1984, THESIS U EDINBURGH

[6] Dynamics of a slender beam with an attached mass under combination parametric and internal resonances - Part I: Steady state response [J].

Dwivedy, SK ;

Kar, RC .

JOURNAL OF SOUND AND VIBRATION, 1999, 221 (05) :823-848

[7] AUTOPARAMETRIC VIBRATION OF COUPLED BEAMS UNDER RANDOM SUPPORT MOTION [J].

IBRAHIM, RA ;

HEO, H .

JOURNAL OF VIBRATION ACOUSTICS STRESS AND RELIABILITY IN DESIGN-TRANSACTIONS OF THE ASME, 1986, 108 (04) :421-426

[8] Deterministic and stochastic response of nonlinear coupled bending-torsion modes in a cantilever beam [J].

Ibrahim, RA ;

Hijawi, M .

NONLINEAR DYNAMICS, 1998, 16 (03) :259-292

[9]

Love A.A., 1927, A Treatise on the Mathematical Theory of Elasticity

[10]

TIMOSHENKO S, 1977, ELEMENTS STRENGTH MA

← 1 →