Dynamic Response of a Cylindrical Shell in a Potential Fluid

1979 ◽  
Vol 46 (4) ◽  
pp. 772-778 ◽  
Author(s):  
G. E. Cummings ◽  
H. Brandt
Keyword(s):  
Cylindrical Shell ◽  
Dynamic Response ◽  
Circular Cylindrical Shell ◽  
Time History ◽  
Experimental Results ◽  
Scale Model ◽  
Solution Technique ◽  
Analytical Technique ◽  
Forcing Function ◽  
Potential Fluid

A numerical solution technique is presented for determining the dynamic response of a thin, elastic, circular, cylindrical shell of constant wall thickness and density, in a potential fluid. The shell may be excited by any radial forcing function with a specified time history and spatial distribution. In addition, a pressure history may be specified over a segment of the fluid outer boundary. Any of the natural shell end conditions may be prescribed. The numerical results are compared to experimental results for a 1/12-scale model of a nuclear-reactor core-support barrel. Natural frequencies and modes are determined for this model in air, water, and oil. The computed frequencies are within 15 percent of experimental results. A sample application compares the numerical technique to an analytical solution for shell beam modes. The comparison resolves an uncertainty concerning the proper effective mass to use in the analytical technique.

Dynamic Response Analysis and Comparative Study of Circular Cylindrical Shell Subjected to Radial Impact

2007 ◽  
Vol 51 (02) ◽  
pp. 94-103
Author(s):  
Li Xuebin
Keyword(s):  
Cylindrical Shell ◽  
Dynamic Response ◽  
Normal Mode ◽  
Shell Theory ◽  
Circular Cylindrical Shell ◽  
Equations Of Motion ◽  
Response Analysis ◽  
Mode Theory ◽  
Normal Mode Theory ◽  
Exact Derivation

Following Flu¨ gge's exact derivation for the buckling of cylindrical shells, the equations of motion for dynamic loading of a circular cylindrical shell under external hydrostatic pressure have been formulated. The normal mode theory is used to provide transient dynamic response for the equations of motion. The responses of displacements, strain, and stress are obtained for the area of impact, while those outside the area of impact are also calculated. The accuracy of normal mode theory and Timoshenko shell theory are examined in this paper.

Dynamic Response of Eccentric Face Seals to Synchronous Shaft Whirl

2004 ◽  
Vol 126 (2) ◽  
pp. 301-309 ◽  
Author(s):  
J. Wileman
Keyword(s):  
Steady State ◽  
Dynamic Response ◽  
Solution Technique ◽  
Steady State Response ◽  
Analytical Technique ◽  
State Response ◽  
Flexible Supports ◽  
Simple Matrix ◽  
The Stability ◽  
Degenerate Cases

This work provides an analytical technique for computing the seal face misalignment which results from synchronous whirl of the shaft. The eccentric dynamic response is obtained for seals in which both mating faces are mounted on flexible supports. Responses for seals with a single flexibly mounted stator or rotor are also obtained as degenerate cases of the more general result. Synchronous shaft whirl is shown to have a significant effect on the steady-state response of all these seals, while not affecting the stability threshold. The steady-state response is obtained by solution of a simple matrix equation for the general case, and can be obtained in closed form for the degenerate cases of the flexibly mounted stator or flexibly mounted rotor. A numerical example of the solution technique is presented, and the influence of speed is examined. Extension of the method to shaft motions other than synchronous whirl is briefly discussed.

On the Inextensional Theory of Deformation of a Right Circular Cylindrical Shell

1951 ◽  
Vol 18 (4) ◽  
pp. 341-344
Author(s):  
R. M. Hermes
Keyword(s):  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Degree Of Approximation ◽  
Theoretical Solution ◽  
Experimental Results

Abstract The inextensional theory of bending of shells is considered. By the method of superposition the known solution is extended to include two cases which can easily be investigated experimentally. The experimental results are compared with the theoretical solution, indicating the degree of approximation involved in the use of the inextensional theory.

Plane-Strain Dynamic Response of a Cylindrical Shell—A Comparison Study of Three Different Shell Theories

1968 ◽  
Vol 35 (2) ◽  
pp. 297-305 ◽  
Author(s):  
H. Reismann ◽  
P. S. Pawlik
Keyword(s):  
Cylindrical Shell ◽  
Dynamic Response ◽  
Plane Strain ◽  
Analytical Study ◽  
Circular Cylindrical Shell ◽  
Response Prediction ◽  
Comparison Study ◽  
Membrane Theory ◽  
Rotatory Inertia ◽  
Initial Motion

An analytical study of the plane-strain dynamic response of a circular, cylindrical shell is presented. The shell is subjected to a radially directed concentrated impulse acting on its surface. Solutions are presented within the framework of (a) membrane theory, (b) Flu¨gge theory, and (c) improved theory (including shear deformation and rotatory inertia). A quantitative study of the initial motion of the shell indicates major differences in response prediction of the three theories. An explanation of these differences is offered.

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