THE EFFECTS OF LARGE VIBRATION AMPLITUDES ON THE MODE SHAPES AND NATURAL FREQUENCIES OF THIN ELASTIC STRUCTURES .2. FULLY CLAMPED RECTANGULAR ISOTROPIC PLATES

被引：66

作者：

BENAMAR, R ^{[1
]}

BENNOUNA, MMK ^{[1
]}

WHITE, RG ^{[1
]}

机构：

[1] UNIV SOUTHAMPTON, INST SOUND & VIBRAT RES, SOUTHAMPTON SO9 5NH, HANTS, ENGLAND

来源：

JOURNAL OF SOUND AND VIBRATION | 1993年 / 164卷 / 02期

关键词：

24;

D O I：

10.1006/jsvi.1993.1215

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The dynamic behaviour of fully clamped rectangular plates at large vibration amplitudes is examined both theoretically and experimentally. The theoretical model, established and applied to beams in Part I, is extended to the fully clamped rectangular plate case, reducing the large amplitude free vibration problem to the solution of a set of non-linear algebraic equations. Numerical results are given, for various plate aspect ratios and vibration amplitudes, showing high increase of curvatures near to the clamps at large deflections. Experimental measurements are reported which are in good agreement with the theory. © 1993 Academic Press Limited.

引用

页码：295 / 316

页数：22

共 22 条

[1] THE EFFECTS OF LARGE VIBRATION AMPLITUDES ON THE MODE SHAPES AND NATURAL FREQUENCIES OF THIN ELASTIC STRUCTURES .1. SIMPLY SUPPORTED AND CLAMPED CLAMPED BEAMS [J].

BENAMAR, R ;

BENNOUNA, MMK ;

WHITE, RG .

JOURNAL OF SOUND AND VIBRATION, 1991, 149 (02) :179-195

[2] THE EFFECTS OF LARGE VIBRATION AMPLITUDES ON THE FUNDAMENTAL MODE SHAPE OF A CLAMPED CLAMPED UNIFORM BEAM [J].

BENNOUNA, MM ;

WHITE, RG .

JOURNAL OF SOUND AND VIBRATION, 1984, 96 (03) :309-331

[3] NONLINEAR FREE-VIBRATION OF ELASTIC PLATES [J].

CHANDRASEKHARAPPA, G ;

SRIRANGARAJAN, HR .

AIAA JOURNAL, 1989, 27 (05) :665-667

[4]

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

[5]

DONNELL LH, 1976, BEAMS PLATES SHELLS, P203

[6]

GORMAN DJ, 1982, FREE VIBRATION ANAL, V79, P69

[7] NONLINEAR VIBRATION OF THIN ELASTIC PLATES .1. GENERALIZED INCREMENTAL HAMILTONS PRINCIPLE AND ELEMENT FORMULATION [J].

LAU, SL ;

CHEUNG, YK ;

WU, SY .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1984, 51 (04) :837-844

[8]

Leissa AW, 1969, VIBRATION PLATES, V160

[9]

LEISSA AW, 1973, J SOUND VIB, V31, P257, DOI DOI 10.1016/S0022-460X(73)80371-2

[10]

MEI C, 1973, COMPUT STRUCT, V3, P163, DOI DOI 10.1016/0045-7949(73)90081-3

← 1 2 3 →