A refined dynamic theory for viscoelastic cylindrical shells and cylindrical laminated composites, Part 1: General theory

Date

1989-4

Author

Birlik, G.A.
Mengi, Yalçın

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

254
views

0
downloads

Through the use of a new technique, approximate theories are developed for the dynamic response of viscoelastic cylindrical shells and cylindrical laminated composites (CLC). The new technique eliminates the inconsistencies between the deformation shapes assumed over the thickness of the shell and the boundary or interface conditions to be satisfied on its lateral surfaces. Accordingly, the theory correctly predicts the dynamic behavior of shells or CLC without using any correction factors. Due to its length, the work is divided into two parts. The first part is devoted to the development of the approximate theories and the second part to the assessment. In this part, first the approximate equations of a single viscoelastic cylindrical shell are derived. Then, a discrete model (DM) is proposed for a composite made of viscoelastic laminae. In establishing DM, it is noted that the equations of a single shell hold also in each lamina of the composite. The equations of DM are completed by adding the interface continuity conditions to the above-mentioned equations. Finally, a continuum model (CM) is developed for a composite shell made of two alternating layers by using a smoothing operation. CM simplifies the determination of dynamic behavior of composite shells when the number of laminae is large.

Subject Keywords

Mechanical Engineering, Acoustics and Ultrasonics, Mechanics of Materials, Condensed Matter Physics

URI

https://hdl.handle.net/11511/51775

Journal

Journal of Sound and Vibration

DOI

https://doi.org/10.1016/0022-460x(89)90519-1

Collections

Department of Engineering Sciences, Article

Suggestions

OpenMETU
Core

A refined dynamic theory for viscoelastic cylindrical shells and cylindrical laminated composites, Part 2: An application Birlik, G.A.; Mengi, Yalçın (Elsevier BV, 1989-4) In this study, the general approximate theory developed in Part 1 for shells is assessed for axially symmetric elastic waves propagating in a closed circular cylindrical shell (hollow rod). The spectra predicted by zeroth and second order approximate theories are determined for various values of shell thicknesses and the Poisson ratios and they are compared with those of exact theory. It is found that the agreement between the two is good. Approximate and exact cut-off frequencies match almost exactly. The ...
TORSIONAL VIBRATIONS OF LAYERED COMPOSITE PARABOLOIDAL SHELLS Kayran, Altan (Elsevier BV, 1990-09-08) An analysis is presented for the torsional vibration characteristics of layered composite paraboloidal shells. The conditions for the uncoupling of the torsional modes from the bending and extensional modes are first determined for a layered shell of revolution. A finite difference scheme is developed for the solution of the resulting governing equation for the uncoupled torsional frequencies. The results of the finite difference solution for the paraboloids are compared with the analytical solution of unco...
THE HARMONIC RESPONSE OF UNIFORM BEAMS ON MULTIPLE LINEAR SUPPORTS - A FLEXURAL WAVE ANALYSIS MEAD, DJ; Yaman, Yavuz (Elsevier BV, 1990-09-22) A wave approach is developed for the exact analysis of the harmonic response of uniform finite beams on multiple supports. The beam may be excited by single or multi-point harmonic forces or moments; its supports may have general linear characteristics which may include displacement-rotation coupling. Use is made of the harmonic response function for an infinite beam subjected to a single-point harmonic force or moment. The unknowns of the finite beam problem are the support reaction forces/moments and the ...
A METHOD FOR THE CALCULATION OF NATURAL FREQUENCIES OF ORTHOTROPIC AXISYMMETRICALLY LOADED SHELLS OF REVOLUTION Kayran, Altan; ARDIC, ES (ASME International, 1994-01-01) A methodology is presented for the calculation of the natural frequencies of orthotropic axisymmetrically loaded shells of revolution including the effect of transverse shear deformation. The fundamental system of equations governing the free vibration of the stress-free shells of revolution are modified such that the initial stresses due to the axisymmetric loading are incorporated into the analysis. The linear equations on the vibration about the deformed state are solved by using the transfer matrix meth...
Stability and breathing motions of pressurized compressible hyperelastic spherical shells Akyüz, Uğurhan (Elsevier BV, 2001-10-18) The stability of homogeneous, isotropic, compressible, hyperelastic, thick spherical shells subjected to external dead-load traction are investigated within the context of the finite elasticity theory. The stability of the finitely deformed state and small, free, radial vibrations about this state are investigated using the theory of small deformations superposed on large elastic deformations. The frequencies of small free vibrations about the pre-stressed state are obtained numerically. The loss of stabili...

Citation Formats

G. A. Birlik and Y. Mengi, “A refined dynamic theory for viscoelastic cylindrical shells and cylindrical laminated composites, Part 1: General theory,” Journal of Sound and Vibration, pp. 55–67, 1989, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51775.