Elastic-Stress Waves Produced by Pressure Loads on a Spherical Shell

1955 ◽  
Vol 22 (4) ◽  
pp. 473-478
Author(s):  
J. H. Huth ◽  
J. D. Cole
Keyword(s):  
Spherical Shell ◽  
Pressure Wave ◽  
Elastic Stress ◽  
Elastic Shell ◽  
Stress Waves ◽  
Blast Waves ◽  
Constant Speed ◽  
Spherical Elastic Shell ◽  
Technical Interest

Abstract The paper treats the problem of stresses in a spherical elastic shell subjected to a plane pressure wave traveling across it with constant speed, a case of technical interest when considering the effect of blast waves on the structure of a missile in flight.

Propagation of Axisymmetric Waves in an Unlimited Elastic Shell

1960 ◽  
Vol 27 (4) ◽  
pp. 690-695 ◽  
Author(s):  
A. Kalnins ◽  
P. M. Naghdi
Keyword(s):  
Spherical Shell ◽  
Entire Range ◽  
Energy Input ◽  
Elastic Shell ◽  
Mechanical Impedance ◽  
Stress Waves ◽  
Axisymmetric Stress ◽  
Spherical Shells ◽  
Concentrated Load ◽  
Shallow Shells

This investigation is concerned with the propagation of axisymmetric stress waves in unlimited thin shallow elastic spherical shells. In particular, a solution is obtained for an unlimited shallow spherical shell subjected to a harmonically oscillating concentrated load at the apex. This solution, exact within the scope of the linear theory of shallow shells, has an outward propagating wave character in the entire range of forcing frequency. Appropriate expressions for the mechanical impedance and the energy input are derived, and numerical results are obtained for the axial displacement corresponding to various forcing frequencies.

ACOUSTIC SCATTERING BY AN ELASTIC SPHERICAL SHELL NEAR THE SEABED

2012 ◽  
Vol 20 (03) ◽  
pp. 1250006 ◽  
Author(s):  
JEAN-PIERRE SESSAREGO ◽  
PAUL CRISTINI ◽  
NATALIE S. GRIGORIEVA ◽  
GREGORY M. FRIDMAN
Keyword(s):  
Spherical Shell ◽  
Elastic Shell ◽  
Acoustic Scattering ◽  
Compressional Wave ◽  
Wide Frequency Range ◽  
Strong Interactions ◽  
Frequency Range ◽  
Symmetric Wave ◽  
Spherical Elastic Shell ◽  
Single Scatter

The paper describes the theory and implementation issues of modeling of the backscattered field from a thin air-filled spherical elastic shell immersed in water close to the seabed or to the air/water interface. Computational results obtained for the full multiple scattering solution are compared with the model utilizing the single-scatter approximation in a wide-frequency range 0 < k0a ≤ 55. In this frequency range for a thin air-filled spherical shell the main elastic contribution to scattering is due to the lowest-order compressional wave which is the generalization of the Lamb symmetric wave of a flat plate and due to the subsonic mode of the first antisymmetric Lamb wave. Strong resonance peaks produced by these waves in the backscattered form functions have been identified in numerical modeling. It has been shown that when the object is close to the interface in addition to geometrical reflections between the shell and the interface, strong interactions due to these resonances can be observed.

The propagation of elastic stress waves in a conical shell under axial impulsive loading

1987 ◽  
Vol 3 (2) ◽  
pp. 173-186 ◽  
Author(s):  
Chen Yuze ◽  
Le Guopei ◽  
Jing Erli ◽  
Xue Jindi
Keyword(s):  
Conical Shell ◽  
Elastic Stress ◽  
Impulsive Loading ◽  
Stress Waves

scholarly journals NON-STATIONARY PROBLEM OF THE PLANE OBLIQUE PRESSURE WAVE DIFFRACTION ON THIN SHELL IN THE SHAPE OF PARABOLIC CYLINDER

2019 ◽  
Vol 16 (32) ◽  
pp. 328-337
Author(s):  
Lev N. RABINSKIY
Keyword(s):  
Wave Diffraction ◽  
Pressure Wave ◽  
Differential Operators ◽  
Convex Surface ◽  
Elastic Shell ◽  
Auxiliary Problem ◽  
Stationary Problem ◽  
Transition Function ◽  
Parabolic Cylinder ◽  
The Impact

A non-stationary plane problem of the dynamics of thin elastic shell in the form of parabolic cylinder immersed in the fluid under the impact of the plane oblique pressure wave is considered. To solve this problem, a system of equations in the related formulation is constructed. Herewith, the hydroelasticity problems are reduced to the equations of the shell dynamics, the damping effect of fluid is taken into account by introducing an integral convolution type operator in the time domain which in the first approximation allows for accounting the capillary porosity of the shell material. The operator core is a surface transition function of the auxiliary problem of the plane acoustic pressure wave diffraction on a convex surface. The problem is solved approximately based on the thin layer hypothesis. The integral and differential equations of shell motion are solved numerically based on the difference discretization of differential operators and the representation of the integral operator by sum using the trapezium rule.

Wet Modes of Submerged Structures—Part 2: Applications

1992 ◽  
Vol 114 (4) ◽  
pp. 440-448 ◽  
Author(s):  
R. P. Daddazio ◽  
M. M. Ettouney ◽  
N. Abboud
Keyword(s):  
Pressure Wave ◽  
Elastic Shell ◽  
Computational Procedure ◽  
Surface Velocity ◽  
Acoustic Medium ◽  
Far Field ◽  
Harmonic Response ◽  
The Individual

Using the wet mode methodology described in Part I of this paper, we examine the harmonic response of an elastic shell in an infinite acoustic medium subjected to an incident pressure wave. Both surface and far field responses are studied utilizing this computational procedure. We investigate the sensitivity of response with respect to changes in frequency of oscillation of the system and geometry of the submerged structure. In addition, we compare the wet modes of the system and in vacuo modes of the structure. The propagation of the surface velocity wet modes to the far field is illustrated. The contribution of the individual modes to the far field pressure and surface velocities as a function of frequency and location is presented.

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