TRANSVERSE VIBRATIONS OF A MOVING THIN ROD

被引:42
作者
BARAKAT, R
机构
[1] Theoretical Optics Group, Itek Corporation, Lexington
关键词
D O I
10.1121/1.1910862
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The linearized transverse vibrations of a moving thin rod between two supports is investigated. Since the governing differential equation in the steady state is not self adjoint, the vibration frequencies and mode shapes are obtained via infinite systems of simultaneous equations using the mode functions of the corresponding stationary rod. Detailed calculations are performed for both end supports fixed and for both end supports simply supported. The energy of vibration is also investigated. © 1968, Acoustical Society of America. All rights reserved.
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页码:533 / &
相关论文
共 15 条
[1]  
ARCHIBALD R, 1958, T ASME J APPL MECH, V25, P347
[2]  
BISHOP RED, 1960, MECHANICS VIBRATION, pCH7
[3]  
Handelman George H., 1955, Q APPL MATH, V13, P326
[4]  
Havelock T. H., 1914, PROPAGATION DISTURBA
[5]  
HOUSNER GW, 1952, J APPL MECH-T ASME, V19, P205
[6]  
LAMB H, 1945, TREATISE HYDRODYNAMI, P3
[7]  
LONG RH, 1955, J APPLIED MECHANICS, V22, P65
[8]   TRANSVERSE VIBRATIONS OF POWER TRANSMISSION CHAINS [J].
MAHALINGAM, S .
BRITISH JOURNAL OF APPLIED PHYSICS, 1957, 8 (04) :145-148
[9]  
MIRANKER W, 1960, IBM J RES, V2, P36
[10]   A STUDY OF BAND SAW VIBRATIONS [J].
MOTE, CD .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1965, 279 (06) :430-&