A subtle error in conventional stochastic linearization techniques

被引：8

作者：

Colajanni, P

Elishakoff, I

机构：

[1] Univ Palermo, Dipartimento Ingn Strutturale & Geotecn, I-90128 Palermo, Italy

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

来源：

CHAOS SOLITONS & FRACTALS | 1998年 / 9卷 / 03期

关键词：

D O I：

10.1016/S0960-0779(97)00086-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The stochastic linearization technique as applied to the SDOF system is re-examined. Two standard procedures associated with the stochastic linearization, widely adopted in the literature, are shown to be erroneous. Two new procedures to correct the errors made in previous works are introduced. To gain more insight, the procedures are applied to the quintic oscillator. Comparative numerical analysis is performed. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：479 / 491

页数：13

共 9 条

[1]

[Anonymous], 1991, APPL MECH REV

[2] Stochastic linearization critically re-examined [J].

Elishakoff, I ;

Colajanni, P .

CHAOS SOLITONS & FRACTALS, 1997, 8 (12) :1957-1972

[3]

Elishakoff I., 1995, NONLINEAR DYNAMICS S, P259

[4]

ELISHAKOFF I, 1992, COMPUTATIONAL STOCHA, P101

[5]

Elishakoff I., 1992, Nonlinear stochastic mechanics, P201

[6]

GRADSHTEYN IS, 1980, TABLE INTEGRALS SERI, P1039

[7]

Lin Y.K., 1967, Probabilistic Theory of Structural Dynamics

[8]

PISZCZEK K, 1986, RANDOM VIBRATION MEC

[9]

Wang C., 1985, P INT C NONL MECH, P959

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