ON THE USE OF ORTHOGONAL POLYNOMIALS IN THE RAYLEIGH RITZ METHOD FOR THE STUDY OF TRANSVERSE VIBRATION OF ELLIPTIC PLATES

被引：54

作者：

SINGH, B ^{[1
]}

CHAKRAVERTY, S ^{[1
]}

机构：

[1] CENT BLDG RES INST,CTR COMP,ROORKEE,INDIA

来源：

COMPUTERS & STRUCTURES | 1992年 / 43卷 / 03期

关键词：

D O I：

10.1016/0045-7949(92)90277-7

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Orthogonal polynomials have been used to study the transverse vibration of elliptic plates with uniform thickness and clamped boundary. Four frequencies and mode shapes have been reported for various values of the aspect ratio. The results of the circular plate have been obtained as a special case. Comparison has been made with the results available in literature.

引用

页码：439 / 443

页数：5

共 50 条

[1] VIBRATION OF ELLIPTIC PLATES USING CHARACTERISTIC ORTHOGONAL POLYNOMIALS IN THE RAYLEIGH-RITZ METHOD
RAJALINGHAM, C
BHAT, RB
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1991, 33 (09) : 705 - 716
[2] TRANSVERSE VIBRATION OF COMPLETELY-FREE ELLIPTIC AND CIRCULAR PLATES USING ORTHOGONAL POLYNOMIALS IN THE RAYLEIGH-RITZ METHOD
SINGH, B
CHAKRAVERTY, S
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1991, 33 (09) : 741 - 751
[3] ON THE USE OF ORTHOGONAL POLYNOMIALS IN THE RAYLEIGH-RITZ METHOD FOR THE STUDY OF THE FLEXURAL VIBRATION AND BUCKLING OF ISOTROPIC AND ORTHOTROPIC RECTANGULAR-PLATES
DICKINSON, SM
DIBLASIO, A
JOURNAL OF SOUND AND VIBRATION, 1986, 108 (01) : 51 - 62
[4] Free vibration of annular elliptic plates using boundary characteristic orthogonal polynomials as shape functions in the Rayleigh-Ritz method
Chakraverty, S
Bhat, RB
Stiharu, I
JOURNAL OF SOUND AND VIBRATION, 2001, 241 (03) : 524 - 539
[5] ON THE USE OF 2-D ORTHOGONAL POLYNOMIALS IN THE RAYLEIGH-RITZ METHOD FOR FLEXURAL VIBRATION OF ANNULAR SECTOR PLATES OF ARBITRARY SHAPE
LIEW, KM
LAM, KY
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1993, 35 (02) : 129 - 139
[6] Vibration of Curvilinearly Stiffened Plates Using Ritz Method With Orthogonal Jacobi Polynomials
Alanbay, Berkan
Singh, Karanpreet
Kapania, Rakesh K.
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2020, 142 (01):
[7] VIBRATION OF CURVILINEARLY STIFFENED PLATES USING RITZ METHOD WITH ORTHOGONAL JACOBI POLYNOMIALS
Alanbay, Berkan
Singh, Karanpreet
Kapania, Rakesh K.
PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2018, VOL 4B, 2019,
[8] Calculation of the natural frequencies of composite plates the Rayleigh-Ritz method with orthogonal polynomials
Cupial, P
JOURNAL OF SOUND AND VIBRATION, 1997, 201 (03) : 385 - 387
[9] USE OF CHARACTERISTIC ORTHOGONAL POLYNOMIALS IN 2 DIMENSIONS FOR TRANSVERSE VIBRATION OF ELLIPTIC AND CIRCULAR PLATES WITH VARIABLE THICKNESS
SINGH, B
CHAKRAVERTY, S
JOURNAL OF SOUND AND VIBRATION, 1994, 173 (03) : 289 - 299
[10] VIBRATION OF RECTANGULAR-PLATES ON POINT AND LINE SUPPORTS USING CHARACTERISTIC ORTHOGONAL POLYNOMIALS IN THE RAYLEIGH-RITZ METHOD
BHAT, RB
JOURNAL OF SOUND AND VIBRATION, 1991, 149 (01) : 170 - 172

← 1 2 3 4 5 →