Comment on "Linear and nonlinear frequency shifts in acoustical resonators with varying cross sections" [J. Acoust. Soc. Am. 110, 109-119 (2001)] (L)

被引:1
作者
Mortell, Michael P. [1 ]
Seymour, Brian R. [2 ]
机构
[1] Univ Coll Cork, Dept Appl Math, Cork, Ireland
[2] Univ British Columbia, Dept Appl Math, Vancouver, BC V6T 1Z2, Canada
关键词
D O I
10.1121/1.3003932
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The effects of the shape of the container on nonlinear resonant oscillations have been of interest for the past decade. Resonant oscillations in a closed straight tube can contain shocks, but for some tube shapes shock formation can be prevented. How the magnitude of the variation of the shape from a straight tube affects the prevention of shocks is discussed. Criteria to determine whether tuning curves bend right or left are addressed, including that proposed by Hamilton et al. ["Linear and nonlinear frequency shifts in acoustical resonators with varying cross sections," J. Acoust. Soc. Am. 110, 109-119 (2001)]. (C) 2008 Acoustical Society of America. [DOI: 10.1121/1.3003932]
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收藏
页码:3381 / 3385
页数:5
相关论文
共 14 条
[1]   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
[2]   NONLINEAR RESONANT OSCILLATIONS OF A GAS IN A TUBE OF VARYING CROSS-SECTION [J].
CHESTER, W .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1994, 444 (1922) :591-604
[3]   ACOUSTIC-RESONANCE OF CYLINDRICALLY SYMMETRICAL WAVES [J].
ELLERMEIER, W .
PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1994, 445 (1923) :181-191
[4]   Linear and nonlinear frequency shifts in acoustical resonators with varying cross sections [J].
Hamilton, MF ;
Ilinskii, YA ;
Zabolotskaya, EA .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2001, 110 (01) :109-119
[5]  
Ilgamov M. A., 1996, Appl. Mech. Rev, V49, P137, DOI [DOI 10.1115/1.3101922), 10.1115/1.3101922, DOI 10.1115/1.3101922]
[6]   Nonlinear standing waves in an acoustical resonator [J].
Ilinskii, YA ;
Lipkens, B ;
Lucas, TS ;
Van Doren, TW ;
Zabolotskaya, EA .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1998, 104 (05) :2664-2674
[7]   NONLINEAR ACOUSTIC RESONANCES IN SHOCK-TUBES WITH VARYING CROSS-SECTIONAL AREA [J].
KELLER, JJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1977, 28 (01) :107-122
[8]   Measurements of macrosonic standing waves in oscillating closed cavities [J].
Lawrenson, CC ;
Lipkens, B ;
Lucas, TS ;
Perkins, DK ;
Van Doren, TW .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1998, 104 (02) :623-636
[9]   PULSE PROPAGATION IN A NONLINEAR VISCOELASTIC ROD OF FINITE LENGTH [J].
MORTELL, MP ;
SEYMOUR, BR .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1972, 22 (02) :209-&
[10]  
Mortell MP, 2004, J FLUID MECH, V519, P183, DOI [10.1017/S0022112004001314, 10.1017/s0022112004001314]