Experimental verification of the importance of the nonlinear curvature in the response of a cantilever beam

被引：115

作者：

Anderson, TJ

Nayfeh, AH

Balachandran, B

机构：

[1] Department of Mechanical Engineering, Memphis State University, Memphis, TN

[2] Department of Engineering Science and Mechanics, Virginia Polytechnic institute, State University, Blacksburg, VA

[3] Department of Mechanical Engineering, University of Maryland, College Park, MD

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1996年 / 118卷 / 01期

关键词：

D O I：

10.1115/1.2889630

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

An experimental and theoretical investigation into the first- and second-mode responses of a parametrically excited slender cantilever beam is presented. Inclusion of quadratic damping in the analytical model significantly improves the agreement between the experimental and theoretical results. In addition, the experimental results verify that the often ignored nonlinear curvature terms play a dominant role in the response of the the first mode and that the nonlinear inertia terms play a dominant role in the response of the second mode.

引用

页码：21 / 27

页数：7

共 12 条

[1]

Bolotin V.V., 1964, DYNAMIC STABILITY EL

[2]

Crespo da Silva MRM, 1978, J STRUCT MECH, V6, P449, DOI DOI 10.1080/03601217808907349

[3]

Crespo da Silva MRM, 1978, J STRUCTURAL MECHANI, V6, P437

[4] LATERAL BENDING-TORSION VIBRATIONS OF A THIN BEAM UNDER PARAMETRIC EXCITATION [J].

DUGUNDJI, J ;

MUKHOPADHYAY, V .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1973, 40 (03) :693-698

[5]

Evan-Iwanowski R. M, 1970, DEV THEOR APPL MECH, V5, P715

[6] EFFECTS OF LONGITUDINAL INERTIA UPON PARAMETRIC RESPONSE OF ELASTIC COLUMNS [J].

EVENSEN, HA ;

EVANIWAN.RM .

JOURNAL OF APPLIED MECHANICS, 1966, 33 (01) :141-&

[7]

HAIGHT EC, 1971, DEV THEOR APPL MECH, V5, P677

[8]

Moody ML, 1967, DEV MECHANICS, V4, P329

[9]

Nayfeh A. H., 2008, Nonlinear Oscillations

[10]

Nayfeh A.H., 2008, Applied nonlinear dynamics

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