Analytical study of vibrating systems with strong non-linearities by employing saw-tooth time transformations

被引：64

作者：

Pilipchuk, VN

机构：

[1] Department of Higher Mathematics, State Technology and Chemistry, University of Ukraine

来源：

JOURNAL OF SOUND AND VIBRATION | 1996年 / 192卷 / 01期

关键词：

D O I：

10.1006/jsvi.1996.0175

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A special saw-tooth temporal transformation technique is formulated. It is simple enough to allow analytic computation of strongly non-linear free and forced dynamic responses, but, at the same time, can be applied to the analysis of general classes of non-linear problems. (C) 1996 Academic Press Limited

引用

页码：43 / 64

页数：22

共 20 条

[1]

[Anonymous], Q APPL MATH

[2]

Arnold V. I., 1978, Mathematical methods of classical mechanics

[3]

Arrowsmith D.K., 1982, Ordinary Differential Equations

[4]

ATKINSON CP, 1962, ASME P 4 NAT C APPL, P57

[5] NONPERTURBATIVE SQUARE-WELL APPROXIMATION TO A QUANTUM-THEORY [J].

BOETTCHER, S ;

BENDER, CM .

JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (11) :2579-2585

[6]

KAMENKOV GV, 1972, STABILITY VIBRATIONS

[7]

LYAPUNOV AM, 1956, COLLECTION WORKS, V2

[8]

MANEVICH LI, 1989, METHOD NORMAL VIBRAT

[9]

MANEVICH LI, 1990, ADV MECH, V13, P107

[10] CONSTRUCTION OF APPROXIMATE ANALYTICAL SOLUTIONS TO A NEW CLASS OF NON-LINEAR OSCILLATOR EQUATION [J].

MICKENS, RE ;

OYEDEJI, K .

JOURNAL OF SOUND AND VIBRATION, 1985, 102 (04) :579-582

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