NONLINEAR RESONANT OSCILLATIONS OF A GAS IN A TUBE OF VARYING CROSS-SECTION

被引：20

作者：

CHESTER, W

机构：

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1994年 / 444卷 / 1922期

关键词：

D O I：

10.1098/rspa.1994.0041

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An investigation is made of the oscillations produced in a gas contained in a tube closed at one end by a rigid barrier and at the other by a piston vibrating at near resonant frequencies. For a tube of uniform cross-section this problem is now well documented. The purpose of this investigation is to demonstrate that a tube of varying cross-section can produce significant changes in the solution for quite small variations. In particular a complicated Duffing like response is possible, with solutions that are not unique for certain frequencies. A significant increase in amplitude occurs relative to non-resonant oscillations and relative to resonant oscillations in a tube of uniform cross-section. This increase can be further enhanced by suitable choice of the variations in cross-section.

引用

页码：591 / 604

页数：14

共 12 条

[1] RESONANT OSCILLATIONS IN CLOSED TUBES [J].

CHESTER, W .

JOURNAL OF FLUID MECHANICS, 1964, 18 (01) :44-&

[2] ACOUSTIC-RESONANCE IN SPHERICALLY SYMMETRICAL WAVES [J].

CHESTER, W .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 434 (1891) :459-463

[3] RESONANT OSCILLATIONS OF WATER WAVES .I. THEORY [J].

CHESTER, W .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1968, 306 (1484) :5-&

[4] RESONANT OSCILLATIONS OF WATER WAVES .2. EXPERIMENT [J].

CHESTER, W ;

BONES, JA .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1968, 306 (1484) :23-&

[5] UNIVERSAL INSTABILITY OF MANY-DIMENSIONAL OSCILLATOR SYSTEMS [J].

CHIRIKOV, BV .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 52 (05) :263-379

[6] SUBHARMONIC NONLINEAR ACOUSTIC RESONANCES IN CLOSED TUBES [J].

KELLER, J .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1975, 26 (04) :395-405

[7] RESONANT OSCILLATIONS IN CLOSED TUBES - SOLUTION OF CHESTERS EQUATION [J].

KELLER, J .

JOURNAL OF FLUID MECHANICS, 1976, 77 (SEP24) :279-304

[8]

KELLER JJ, 1977, J APPL MATH PHYS, V28, P107, DOI DOI 10.1007/BF01590712

[9]

MOISEYEV NN, 1958, PRIKL MAT MEKH, V22, P612

[10]

OCKENDON H, 1993, J FLUID MECH, V257, P201, DOI 10.1017/S0022112093003040

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