Nonlinear modes of piecewise linear systems forced vibrations close to superharmonic resonances

被引：7

作者：

Uspensky, B. ^{[1
]}

Avrarnov, K. ^{[1
]}

Nikonov, O. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Podgorny Inst Mech Engn, Dept Vibrat, Kharkov, Ukraine

[2] Kharkiv Natl Automobile & Highway Univ, Dept Comp Sci & Mechatron, Kharkov, Ukraine

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE | 2019年 / 233卷 / 23-24期

关键词：

Superharmonic resonance; Rauscher's approach; nonlinear mode; configuration space; DYNAMICS; OSCILLATIONS; BEAMS;

D O I：

10.1177/0954406219869967

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Method for strongly nonlinear piecewise linear systems forced vibrations analysis close to superharmonic resonances is suggested. The combination of Shaw-Pierre nonlinear modes and the Rauscher's approach is the foundation of this method. The superharmonic torsional vibrations of the power transmission are analyzed by using the suggested approach. The properties of the resonance superharmonic vibrations are treated.

引用

页码：7489 / 7497

页数：9

共 44 条

[31]

Rosenberg R.M., 1962, Journal of Applied Mechanics, V29, P7, DOI DOI 10.1115/1.3636501

[32]

Rosenberg RM., 1961, Journal of Applied Mechanics, V28, P275

[33]

Shaw S.W., 1999, Shock and Vibration Digest, V31, P3, DOI [10.1177/058310249903100101, DOI 10.1177/058310249903100101]

[34] NORMAL-MODES FOR NONLINEAR VIBRATORY-SYSTEMS [J].

SHAW, SW ;

PIERRE, C .

JOURNAL OF SOUND AND VIBRATION, 1993, 164 (01) :85-124

[35] A PERIODICALLY FORCED PIECEWISE LINEAR-OSCILLATOR [J].

SHAW, SW ;

HOLMES, PJ .

JOURNAL OF SOUND AND VIBRATION, 1983, 90 (01) :129-155

[36] SUPERHARMONIC RESONANCE OF CIRCULAR PLATES [J].

SRIRANGARAJAN, HR .

JOURNAL OF SOUND AND VIBRATION, 1992, 157 (03) :549-552

[37] Non-linear dynamics of gear-pair systems with periodic stiffness and backlash [J].

Theodossiades, S ;

Natsiavas, S .

JOURNAL OF SOUND AND VIBRATION, 2000, 229 (02) :287-310

[38] Numerical analysis of nonlinear modes of piecewise linear systems torsional vibrations [J].

Uspensky, B. ;

Avramov, K. .

MECCANICA, 2017, 52 (15) :3743-3757

[39] Nonlinear modes of piecewise linear systems under the action of periodic excitation [J].

Uspensky, B. ;

Avramov, K. .

NONLINEAR DYNAMICS, 2014, 76 (02) :1151-1156

[40] On the nonlinear normal modes of free vibration of piecewise linear systems [J].

Uspensky, B. V. ;

Avramov, K. V. .

JOURNAL OF SOUND AND VIBRATION, 2014, 333 (14) :3252-3265

← 1 2 3 4 5 →