Apparently first closed-form solution for frequencies of deterministically and/or stochastically inhomogeneous simply supported beams

被引：17

作者：

Candan, S ^{[1
]}

Elishakoff, I

机构：

[1] Inst Francais Mecan Avancee, Lab Rech & Applicat Mecan Avancee, F-63175 Aubiere, France

[2] Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 2001年 / 68卷 / 02期

关键词：

Benchmark solutions - Closed form solutions - Infinite numbers - Non-homogeneous - Simply supported beams;

D O I：

10.1115/1.1355034

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

An infinite number of closed-form solutions is reported for a deterministically ol stochastically nonhomogeneous beam, for both natural frequencies and reliabilities, for specialized cases. These solutions may prove useful as benchmark solutions. Numerical examples are evaluated.

引用

页码：176 / 185

页数：10

共 14 条

[1]

ARIARATNAM ST, 1960, J MECH ENG SCI, V2, P195, DOI DOI 10.1243/JMES_JOUR_1960_002_029_02

[2] DERIVATION AND APPLICATION OF FOKKER-PLANCK EQUATION TO DISCRETE NONLINEAR DYNAMIC SYSTEMS SUBJECTED TO WHITE RANDOM EXCITATION [J].

CAUGHEY, TK .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1963, 35 (11) :1683-+

[3]

EISENBERGER M, 1997, INT S VIBR CONT SYST, P13

[4] New closed-form solutions for buckling of a variable stiffness column by mathematica® [J].

Elishakoff, I ;

Rollot, O .

JOURNAL OF SOUND AND VIBRATION, 1999, 224 (01) :172-182

[5] SOME EXACT-SOLUTIONS FOR THE BENDING OF BEAMS WITH SPATIALLY STOCHASTIC STIFFNESS [J].

ELISHAKOFF, I ;

REN, YJ ;

SHINOZUKA, M .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1995, 32 (16) :2315-2327

[6]

Gladwell G., 1986, Inverse Problems in Vibration

[7]

GLADWELL GML, 1996, INVERSE PROBLEM VI 2, V49, P13

[8]

KOYLUOGLU H, 1905, STRUCTURAL SAFETY RE, P267

[9]

NIGAM NC, 1983, INTRO RANDOM VIBRATI, P258

[10]

Scheurkogel A., 1988, NONLINEAR STOCHASTIC, P285

← 1 2 →