FREE AND FORCED VIBRATIONS OF AN INFINITELY LONG CYLINDRICAL SHELL IN AN INFINITE ACOUSTIC MEDIUM

1952 ◽  
Author(s):  
H. H. BLEICH ◽  
M. L. BARON
Keyword(s):  
Cylindrical Shell ◽  
Forced Vibrations ◽  
Acoustic Medium ◽  
Free And Forced Vibrations ◽  
Long Cylindrical Shell

Free and Forced Vibrations of an Infinitely Long Cylindrical Shell in an Infinite Acoustic Medium

1954 ◽  
Vol 21 (2) ◽  
pp. 167-177
Author(s):  
H. H. Bleich ◽  
M. L. Baron
Keyword(s):  
Surrounding Medium ◽  
Low Frequency ◽  
Free Vibrations ◽  
Forced Vibrations ◽  
Acoustic Medium ◽  
Frequency Range ◽  
Stiffened Shells ◽  
Free And Forced Vibrations ◽  
Water Tables ◽  
Radial Forces

Abstract The paper presents a general method for the treatment of free and forced-vibration problems of infinitely long thin cylindrical shells. Surprisingly simple results are obtained by utilizing the known and tabulated modes of the shell in vacuo as generalized co-ordinates describing the response of the shell. The frequencies of free vibrations of submerged shells are obtained, and the response of the shell and medium to sinusoidally distributed, periodic, radial forces is determined. The results indicate that there is a low-frequency range where no radiation occurs and a high-frequency range where energy is radiated. Free vibration, or resonance in the case of forced vibrations, occurs only in the low-frequency range. The results of the paper may be applied to obtain the response to arbitrarily distributed, periodic, or nonperiodic forces by expanding such forces in Fourier series and/or integrals. The results for free and forced vibrations are discussed in general and for the specific case of steel shells in water. Tables are provided to facilitate numerical computations. With limitations the method is also applicable to ring-stiffened shells, and to the case of a static pressure in the surrounding medium.

Vibrations of an Infinitely Long Cylindrical Shell in a Semi-Infinite Acoustic Medium

1959 ◽  
Vol 3 (04) ◽  
pp. 41-49
Author(s):  
Donald J. Butler
Keyword(s):  
Plane Surface ◽  
Forced Vibrations ◽  
Acoustic Medium ◽  
Algebraic Equations ◽  
Numerical Examples ◽  
Linear Algebraic Equations ◽  
Close Proximity ◽  
Fluid Boundary ◽  
Long Cylindrical Shell ◽  
Infinite Set

Previous work on the vibrations of infinitely long cylindrical shells submerged in an infinite acoustic medium is extended to the case where the medium is bounded by a plane surface, either rigid or free. The solution leads to an infinite set of simultaneous, linear, algebraic equations, the coefficents of which are obtainable in closed form. If this set is replaced by a finite number of equations, a procedure is given for estimating the accompanying error. Typical numerical examples indicate that significant results can be obtained, in certain cases at least, using only a small number of equations. For steel shells in water, the results show that the presence of a fluid boundary has surprisingly little effect on either the response of the shell, in the case of forced vibrations, or the frequencies of free vibration, even when the shell is in close proximity to the boundary.

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 Static and Dynamic Behavior of Circular Cylindrical Shell Made of Hyperelastic Arterial Material

2016 ◽  
Vol 83 (5) ◽  
Author(s):  
Ivan D. Breslavsky ◽  
Marco Amabili ◽  
Mathias Legrand
Keyword(s):  
Nonlinear Dynamics ◽  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Single Mode ◽  
Forced Vibrations ◽  
Dynamic Responses ◽  
Free And Forced Vibrations ◽  
Static Responses ◽  
Radial Forces ◽  
Mode Response

Static and dynamic responses of a circular cylindrical shell made of hyperelastic arterial material are studied. The material is modeled as a combination of Neo-Hookean and Fung materials. Two types of pressure loads are studied—distributed radial forces and deformation-dependent pressure. The static responses of the shell under these two loads differ essentially at moderate strains, while the behavior is similar for small loads. The principal difference is that the axial displacements are much larger for the shell under distributed radial forces, while for actual pressure the shell is stretched both in circumferential and axial directions. Free and forced vibrations around preloaded configurations are analyzed. In both cases, the nonlinearity of the single-mode (driven mode) response of the preloaded shell is quite weak, but a resonant regime with both driven and companion modes active has been found with more complicated nonlinear dynamics.

Nonlinear Free and Forced Vibrations of Symmetric Laminated Panels

2011 ◽  
Vol 471-472 ◽  
pp. 616-621 ◽  
Author(s):  
Alireza Shooshtari ◽  
Soheil Razavi ◽  
Hadi Ghashochi Bargh ◽  
Mohammad Homayoun Sadr-Lahidjani
Keyword(s):  
Perturbation Method ◽  
External Force ◽  
Laminated Composite ◽  
Composite Plates ◽  
Forced Vibrations ◽  
Numerical Results ◽  
Transverse Displacement ◽  
Laminated Composite Plates ◽  
Free And Forced Vibrations ◽  
Laminated Panels

In this paper, free and forced vibrations of symmetric laminated composite plates are studied analytically by using a perturbation method where the analytical results for transverse displacement are compared with the numerical results. The external force is taken to be harmonic in time and having uniform amplitude.

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