Dynamics of Three-layer Cylindrical Shells Elliptical Cross-Section With a Longitudinal-Transverse Discrete Ribbed Filler
DOI:
https://doi.org/10.15330/pcss.18.2.243-248Keywords:
three-layer cylindrical shell, elliptic cross-section, Timoshenko-type theory, forced vibrations, numerical solutionAbstract
In this paper, we consider the equations of non-axisymmetric oscillations of discretely reinforced multilayer cylindrical shells of elliptical section. When analyzing the elements of the elastic structure, a refinement model of the theory of shells and rods of the Timoshenko type is used. The numerical method of solving the dynamic equations is based on the integro- interpolation method of constructing the finite-difference schemes for equations with discontinuous coefficients. The problem of dynamic behavior of a three-layer longitudinal-transversal reinforced cylindrical shell of an elliptical section under a distributed nonstationary load is investigated. A solution of the problem on dynamic behaviour of the three-layered cylindrical shell with some discrete longitudinal-transverse ribbed filler is considered for distributed non-stationary loading.
References
[1] V.V. Bolotin, Yu.N. Novichkov, Mechanika mnogosloynykh konstruktsyy (Mashynostroenie, Moskva, 1980).
[2] K.G. Golovko, P. Z. Lugovoy, V. F. Meysh, Dinamika neodnorodnykh obolochek pri nestatsyonarnykh nagruzkakh (Kievskiy universitet, Kuiv, 2012).
[3] E.I. Grigolyuk, G. N. Kulikov, Razvitie obshchego napravleniya v teorii mnogosloynykh obolochek, Mekhanika kompozitnykh materialov 24(2), 231 (1988).
[4] A.N. Guz, V. D. Kubenko, Metody rascheta obolochek Т.5 Teoriya nestatsuonarnoy aerogidrouprugosti obolochek (Naukova Dumka, Kyiv 1982).
[5] A.A. Dudchenko, S. A. Lurie, I. F. Obraztsov, Anisotropnye mnogosloynye plastiny i obolochki (VINITI, Moskva, 1983).
[6] V. G. Piskunov, A. O. Rasskazov, Razvitie teorii sloistykh plastin i obolochek, Uspekhi mekhaniki, T 3, Kiev, 141 (2007).
[7] H. Altenbach, An alternative determination of transverse shear stiffnesses for sandwich and laminated plates, Int. J. of Solids Struct., 37, 3503 (2000).
[8] H. Altenbach, Theories for laminated and sandwich plates: A review, Mechanics of composite materials, 34(3), 243 (1998).
[9] E. Carrera, Developments, ideas, and evaluations based upon Reissner’s Mixed Variational Theorem in the modeling of multilayered plates and shells, Appl. Mech. Reviews, 54, 301 (2001).
[10] D.V. Leonenko, E. I. Starovoitov, Vibrations of Cylindrical Sandwich Shells with Elastic Core under Local Loads, Int. Appl. Mech., 52(4), 359 (2016).
[11] P.Z. Lugovoi, V.F. Meish, S.E. Shtantsel, Forced Nonstationary Vibrations of a Sandwich Cylindrical Shell with Cross-Ribbed Core, Int. Appl. Mech. 41(2)161 (2005).
[12] V.F. Meish, S E. Shtantsel, Dynamic Problems in the Theory of Sandwich Shells of Revolution with a Discrete Core under Nonstationary Loads, Int. Appl. Mech., 38(12), 1501 (2002).
[13] Yu. A. Meish, Nonstationary Vibrations of Transversely Reinforced Elliptic Cylindrical Shells on an Elastic Foundation, Int. Appl. Mech. 52(6), 359(2016).
[14] A.K. Noor, W.S. Burton, Assessment of Computational Models for Multilayered Composite Shells, Appl. Mech. Rev., 43(4), 67(1990).
[15] A.K. Noor, W.S. Burton, C.W Bert., Computational Models for Sandwich Panels and Shells, Appl. Mech. Rev., 49(3), 155(1996).
[16] A.K. Noor, W.S. Burton, J.M. Peters, Assessment of Computation Models for Multilayered Composite Cylinders, Int. J. of Solids and Structures 27(10), 1269(1991).
[17] N. Pagano, Free edge stress fields in composite laminates, Int. J. of Solids Struct., 401(1978).
[18] N.J Pagano, Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates, J. of Composite Materials., 4, 20(1970).
[19] M.S. Qatu, Recent Research Advances in the Dynamic Behavior of Shells: 1989-2000, Part 1: Laminated Composite Shells, Appl. Mech. Rev. 55(4), 325 (2002).
[20] M.S. Qatu, R. W. Sullivan, W. Wang, Recent Research Advances in the Dynamic Behavior of Composite Shells: 2000 – 2009, Composite Structures. 93(1), 14(2010).
[21] J.N. Reddy, On refined computational models of composite laminates, Int. J. for Numerical Methods in Engineering. 361(1989).
[22] K.P. Soldatos, Mechanics of Cylindrical Shells with Non – Circular Cross Section, Appl. Mech. Rev. 49(8), 237 (1999).
[2] K.G. Golovko, P. Z. Lugovoy, V. F. Meysh, Dinamika neodnorodnykh obolochek pri nestatsyonarnykh nagruzkakh (Kievskiy universitet, Kuiv, 2012).
[3] E.I. Grigolyuk, G. N. Kulikov, Razvitie obshchego napravleniya v teorii mnogosloynykh obolochek, Mekhanika kompozitnykh materialov 24(2), 231 (1988).
[4] A.N. Guz, V. D. Kubenko, Metody rascheta obolochek Т.5 Teoriya nestatsuonarnoy aerogidrouprugosti obolochek (Naukova Dumka, Kyiv 1982).
[5] A.A. Dudchenko, S. A. Lurie, I. F. Obraztsov, Anisotropnye mnogosloynye plastiny i obolochki (VINITI, Moskva, 1983).
[6] V. G. Piskunov, A. O. Rasskazov, Razvitie teorii sloistykh plastin i obolochek, Uspekhi mekhaniki, T 3, Kiev, 141 (2007).
[7] H. Altenbach, An alternative determination of transverse shear stiffnesses for sandwich and laminated plates, Int. J. of Solids Struct., 37, 3503 (2000).
[8] H. Altenbach, Theories for laminated and sandwich plates: A review, Mechanics of composite materials, 34(3), 243 (1998).
[9] E. Carrera, Developments, ideas, and evaluations based upon Reissner’s Mixed Variational Theorem in the modeling of multilayered plates and shells, Appl. Mech. Reviews, 54, 301 (2001).
[10] D.V. Leonenko, E. I. Starovoitov, Vibrations of Cylindrical Sandwich Shells with Elastic Core under Local Loads, Int. Appl. Mech., 52(4), 359 (2016).
[11] P.Z. Lugovoi, V.F. Meish, S.E. Shtantsel, Forced Nonstationary Vibrations of a Sandwich Cylindrical Shell with Cross-Ribbed Core, Int. Appl. Mech. 41(2)161 (2005).
[12] V.F. Meish, S E. Shtantsel, Dynamic Problems in the Theory of Sandwich Shells of Revolution with a Discrete Core under Nonstationary Loads, Int. Appl. Mech., 38(12), 1501 (2002).
[13] Yu. A. Meish, Nonstationary Vibrations of Transversely Reinforced Elliptic Cylindrical Shells on an Elastic Foundation, Int. Appl. Mech. 52(6), 359(2016).
[14] A.K. Noor, W.S. Burton, Assessment of Computational Models for Multilayered Composite Shells, Appl. Mech. Rev., 43(4), 67(1990).
[15] A.K. Noor, W.S. Burton, C.W Bert., Computational Models for Sandwich Panels and Shells, Appl. Mech. Rev., 49(3), 155(1996).
[16] A.K. Noor, W.S. Burton, J.M. Peters, Assessment of Computation Models for Multilayered Composite Cylinders, Int. J. of Solids and Structures 27(10), 1269(1991).
[17] N. Pagano, Free edge stress fields in composite laminates, Int. J. of Solids Struct., 401(1978).
[18] N.J Pagano, Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates, J. of Composite Materials., 4, 20(1970).
[19] M.S. Qatu, Recent Research Advances in the Dynamic Behavior of Shells: 1989-2000, Part 1: Laminated Composite Shells, Appl. Mech. Rev. 55(4), 325 (2002).
[20] M.S. Qatu, R. W. Sullivan, W. Wang, Recent Research Advances in the Dynamic Behavior of Composite Shells: 2000 – 2009, Composite Structures. 93(1), 14(2010).
[21] J.N. Reddy, On refined computational models of composite laminates, Int. J. for Numerical Methods in Engineering. 361(1989).
[22] K.P. Soldatos, Mechanics of Cylindrical Shells with Non – Circular Cross Section, Appl. Mech. Rev. 49(8), 237 (1999).
Downloads
Published
2017-06-15
How to Cite
Pavliuk, A. (2017). Dynamics of Three-layer Cylindrical Shells Elliptical Cross-Section With a Longitudinal-Transverse Discrete Ribbed Filler. Physics and Chemistry of Solid State, 18(2), 243–248. https://doi.org/10.15330/pcss.18.2.243-248
Issue
Section
Scientific articles
