Nonlinear vibrations of a simply supported rectangular metallic plate subjected to transverse harmonic excitation in the presence of a one-to-one internal resonance

被引：37

作者：

Anlas, G ^{[1
]}

Elbeyli, O ^{[1
]}

机构：

[1] Bogazici Univ, Dept Mech Engn, TR-80815 Bebek, Istanbul, Turkey

来源：

NONLINEAR DYNAMICS | 2002年 / 30卷 / 01期

基金：

美国国家科学基金会;

关键词：

nonlinear vibrations; metallic plate; internal resonance; perturbation; method of multiple scales; bifurcation; stability;

D O I：

10.1023/A:1020362725706

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The nonlinear response of rectangular and square metallic plates subject to transverse harmonic excitations is studied. The nonlinearities originate from the use of Von Karman strains. The method of multiple scales is used to solve the system of differential equations approximately. Frequency response curves are presented for both square and rectangular plates for primary resonance of either mode in the presence of a one-to-one internal resonance. Stability of steady state solutions is investigated. Bifurcation points and their types are discussed.

引用

页码：1 / 28

页数：28

共 30 条

[1]

ABUARISH AM, 1985, J SOUND VIBRATION, V105, P253

[2] NONLINEAR RESONANCES IN A FLEXIBLE CANTILEVER BEAM [J].

ANDERSON, TJ ;

BALACHANDRAN, B ;

NAYFEH, AH .

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1994, 116 (04) :480-484

[3]

ANDERSON TJ, 1996, NONLINEAR DYNAM, V22, P140

[4] Effect of two-to-one internal resonances in a nonlinearly restrained fluid valve [J].

Anlas, G .

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1999, 121 (01) :59-63

[5]

[Anonymous], 1995, MODAL ANAL

[6] ASYMPTOTIC TECHNIQUES AND COMPLEX DYNAMICS IN WEAKLY NONLINEAR FORCED MECHANICAL SYSTEMS [J].

BAJAJ, AK ;

JOHNSON, JM .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1990, 25 (2-3) :211-226

[7] DELIVERY OF RECOMBINANT GENE-PRODUCTS WITH MICROENCAPSULATED CELLS IN-VIVO [J].

CHANG, PL ;

SHEN, N ;

WESTCOTT, AJ .

HUMAN GENE THERAPY, 1993, 4 (04) :433-440

[8]

CHIN C, 1995, P 36 STRUCT STRUCT D, P1

[9]

Chu H.N., 1956, J APPLIED MECHANICS, V23, P532

[10] Experiments on the parametric vibration response of plates under tensile loading [J].

Deolasi, PJ ;

Datta, PK .

EXPERIMENTAL MECHANICS, 1997, 37 (01) :56-61

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