The optimized Rayleigh method and Mathematica in vibrations and buckling problems

被引：27

作者：

DeRosa, MA

Franciosi, C

机构：

[1] Dept. Struct. Eng. Soil Mechanics, University of Basilicata

来源：

JOURNAL OF SOUND AND VIBRATION | 1996年 / 191卷 / 05期

关键词：

D O I：

10.1006/jsvi.1996.0156

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper some vibration and buckling problems are solved by means of the optimized Rayleigh and Timoshenko quotients. The use of the Mathematica symbolic language produces closer approximations than the usual ones, because two-parameter quotients can be employed. (C) 1996 Academic Press Limited

引用

收藏

页码：795 / 808

页数：14

相关论文

共 27 条

[1] APPLICATION OF A VERSION OF THE RAYLEIGH TECHNIQUE TO PROBLEMS OF BARS, BEAMS, COLUMNS, MEMBRANES, AND PLATES [J].

BERT, CW .

JOURNAL OF SOUND AND VIBRATION, 1987, 119 (02) :317-326

[2]

BERT CW, 1984, IND MATH, V34, P65

[3]

CORTINEZ VH, 1988, APPL ACOUST, V33, P153

[4] FREE-VIBRATIONS OF STEPPED BEAMS WITH ELASTIC ENDS [J].

DEROSA, MA .

JOURNAL OF SOUND AND VIBRATION, 1994, 173 (04) :563-567

[5]

DEROSA MA, IN PRESS J SOUND VIB

[6] BUCKLING LOADS FOR VARIABLE CROSS-SECTION MEMBERS WITH VARIABLE AXIAL FORCES [J].

Eisenberger, Moshe .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1991, 27 (02) :135-143

[7] A REMARK ON THE ADJUSTABLE-PARAMETER VERSIONS OF RAYLEIGH METHOD [J].

ELISHAKOFF, I .

JOURNAL OF SOUND AND VIBRATION, 1987, 118 (01) :163-165

[8] COMPARISON OF RAYLEIGH NONINTEGER-POWER METHOD WITH RAYLEIGH-RITZ METHOD [J].

ELISHAKOFF, I ;

BERT, CW .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 67 (03) :297-309

[9] APPLICATION OF BESSEL AND LOMMEL FUNCTIONS, AND THE UNDETERMINED MULTIPLIER GALERKIN METHOD VERSION, FOR INSTABILITY OF NONUNIFORM COLUMN [J].

ELISHAKOFF, I ;

PELLEGRINI, F .

JOURNAL OF SOUND AND VIBRATION, 1987, 115 (01) :182-186

[10]

ELISHAKOFF I, 1987, J SOUND VIBRATION, V144, P159