VIBRATIONS OF FLUID-FILLED SPHERICAL SHELLS

被引:10
作者
ENGIN, AE
机构
[1] Highway Safety Research Institute, The University of Michigan, Institute of Science and Technology, Ann Arbor
关键词
D O I
10.1121/1.1911668
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Utilizing linear shell theory, which includes both membrane and bending effects, the differential equations for the axisymmetric, nontorsional motion of a fluid filled thin spherical shell are obtained by means of Hamilton's principle. The motion of the fluid is assumed to be governed by the linear wave equation. It is shown that appropriate limiting cases of the frequency equation of a fluid filled shell agree with those of the simpler models previously investigated. A description of some of the salient features of the frequency spectrum of such a fluid shell system is also given in view of the frequency spectra of the limiting cases. © 1969, Acoustical Society of America. All rights reserved.
引用
收藏
页码:186 / &
相关论文
共 7 条
[2]  
GUTTINGER W, 1950, Z NATURFORSCH A, V5, P622
[3]  
Junger M.C, 1952, J APPL MECH, V74, P439
[4]  
LAMB H, 1883, P LOND MATH SOC, V14, P50
[5]   AXISYMMETRIC RESPONSE OF A CLOSED SPHERICAL SHELL TO A NEARLY UNIFORM RADIAL IMPULSE [J].
MCIVOR, IK ;
SONSTEGARD, DA .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1966, 40 (06) :1540-+
[6]  
Novozhilov V. V., 1964, THIN SHELL THEORY
[7]   VIBRATIONS OF FLUID-FILLED SPHERICAL AND SPHEROIDAL SHELLS [J].
RAND, R ;
DIMAGGIO, F .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1967, 42 (06) :1278-&