Initial Response of a Fluid‐Filled, Elastic, Circular, Cylindrical Shell to a Shock Wave in Acoustic Medium

1964 ◽  
Vol 36 (3) ◽  
pp. 476-488 ◽  
Author(s):  
L. A. Peralta ◽  
S. Raynor
Keyword(s):  
Shock Wave ◽  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Initial Response ◽  
Acoustic Medium

Transient Response of a Periodically Supported Cylindrical Shell Immersed in a Fluid Medium

1965 ◽  
Vol 32 (3) ◽  
pp. 562-568 ◽  
Author(s):  
Harry Herman ◽  
J. M. Klosner
Keyword(s):  
Cylindrical Shell ◽  
Integral Transform ◽  
Circular Cylindrical Shell ◽  
Fourier Integral ◽  
Cylindrical Wave ◽  
Acoustic Medium ◽  
Steel Shell ◽  
Fluid Medium ◽  
Wave Approximation ◽  
Fourier Integral Transform

The dynamic response of a periodically simply supported, infinitely long, circular cylindrical shell to a pressure suddenly applied through the surrounding acoustic medium is investigated. The incident particle velocity is zero, and the pressure is assumed to have a harmonic spatial variation parallel to the shell axis. The exact solution is obtained by use of a Fourier integral transform, and the resulting inversion integral is evaluated by numerical and asymptotic integration. Two solutions to the same problem are obtained by using a plane and cylindrical wave approximation for the radiated field. The range of their applicability is investigated. For a steel shell in water ccs2=0.08815 it is found that, when the supports are placed three shell diameters apart, the use of the cylindrical wave approximation results in a 5-percent underestimation of the maximum deflection, while when the supports are placed one sixth of a shell diameter apart, the approximations are invalid.

Forced Plane Strain Motion of Cylindrical Shells—A Comparison of Shell Theory With Elasticity Theory

1973 ◽  
Vol 40 (3) ◽  
pp. 725-730 ◽  
Author(s):  
P. S. Pawlik ◽  
H. Reismann
Keyword(s):  
Cylindrical Shell ◽  
Analytical Solution ◽  
Elasticity Theory ◽  
Plane Strain ◽  
Outer Surface ◽  
Shell Theory ◽  
Circular Cylindrical Shell ◽  
Initial Response ◽  
Linear Elasticity Theory ◽  
Specific Loading

A radially directed load is suddenly applied to a portion of the outer surface of a circular cylindrical shell which responds in a state of plane strain. An analytical solution for the resulting dynamic response is obtained within the context of linear elasticity theory, Flu¨gge shell theory, and an “improved” shell theory. A comparison of results for specific loading conditions indicates that the improved theory is far superior to the Flu¨gge theory in terms of predicting both the magnitude and characteristics of the response. However, as expected, neither shell theory satisfactorily predicts the wave character of the initial response.

Response of an Elastic Cylindrical Shell to a Transverse, Step Shock Wave

1953 ◽  
Vol 20 (2) ◽  
pp. 189-195
Author(s):  
R. D. Mindlin ◽  
H. H. Bleich
Keyword(s):  
Shock Wave ◽  
Cylindrical Shell ◽  
Wave Front ◽  
Plane Shock Wave ◽  
Elastic Response ◽  
Acoustic Medium ◽  
Elastic Cylindrical Shell ◽  
Plane Shock ◽  
Mathematical Solution ◽  
Long Cylindrical Shell

Abstract A plane shock wave in an acoustic medium encounters a long cylindrical shell whose axis is parallel to the wave front. An approximate mathematical solution is obtained for the elastic response of the shell.

scholarly journals ANALYTICAL AND NUMERICAL STUDIES OF FREE VIBRATIONS OF CYLINDRICAL SHELL WITH ACOUSTIC MEDIUM

2021 ◽  
Vol 83 (1) ◽  
pp. 35-48
Author(s):  
I.A. Dyachenko ◽  
A.A. Mironov
Keyword(s):  
Finite Element ◽  
Cylindrical Shell ◽  
Natural Frequencies ◽  
Mutual Influence ◽  
Circular Cylindrical Shell ◽  
Middle Layer ◽  
Free Vibrations ◽  
Acoustic Medium ◽  
Compressible Medium ◽  
Full Spectrum

The research materials are related to the problem of ensuring vibration resistance of pipelines exposed to dynamic loads, for which increased vibration is the main cause of damage. The solution to this problem involves studying the parameters of free vibrations of the structure. The paper solves the problem of determining the natural frequencies and forms of vibrations of a section of a circular cylindrical shell filled with an medium considered in the acoustic approximation. The results of studies of the parameters of free vibrations were obtained both by the analytical method of shell theory based on the Kirchhoff-Love hypotheses, and using the finite element complex of engineering analysis ANSYS. It is shown that the influence of the medium density on the parameters of free vibrations of the shell depends on the ratio of the shell thickness to its radius it turns out to be significant only for the shape of vibrations associated with bending deformation, and insignificant for forms associated with deformations of the middle layer. A comparative analysis of the results of calculations obtained for models of compressible and incompressible medium shows that when solving the problem of determining the parameters of free vibrations of the shell, the compressibility of the medium can be neglected. At the same time, to solve practical problems that require taking into account the full spectrum of natural frequencies of the shell–medium system, a compressible medium model should be used, in which the results on the effect of shell stiffness on the frequency spectrum of the medium volume are obtained. When solving practical problems of pipeline systems vibration, the use of the finite element method in a coupled formulation is an effective tool that allows us to consider all physical processes taking into account their mutual influence on each other.

Sign in / Sign up

Export Citation Format

Share Document