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Effect of initial stress on the dynamic response of a multi-layered plate-strip subjected to an arbitrary inclined time-harmonic force

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Języki publikacji
EN
Abstrakty
EN
The forced vibration of a multi-layered plate-strip with initial stress under the action of an arbitrary inclined time-harmonic force resting on a rigid foundation is considered. Within the framework of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies (TLTEWISB), a mathematical modelling is presented in plane strain state. It is assumed that there exists the complete contact interaction at the interface between the layers and the materials of the layer are linearly elastic, homogeneous and isotropic. The governing system of the partial differential equations of motion for the considered problem is solved approximately by employing the Finite Element Method (FEM). Further, the influence of the initial stress parameter on the dynamic response of the plate-strip is presented.
Rocznik
Strony
521–537
Opis fizyczny
Bibliogr. 12 poz., wykr.
Twórcy
autor
  • Department of Mathematics, Faculty of arts and Sciences, Kastamonu University, Kastamonu, Turkey
Bibliografia
  • [1] Guz A.N. (1986): Elastic Waves in a Body Initial Stresses, I. General Theory. – Kiev: Naukova Dumka (in Russian).
  • [2] Guz A.N. (1986): Elastic Waves in a Body Initial Stresses, II. Propagation Laws. – Kiev: Naukova Dumka (in Russian).
  • [3] Zamanov A.D. (2001): Stress distribution in a rigidly clamped composite plate with locally curved structures under forced vibration. – Internat. Appl. Mech., vol.37, No.9, pp.1189-1195.
  • [4] Akbarov S.D. and Ozaydin O. (2001): The effect of initial stresses on harmonic fields with the stratified half plane. – Eur. J. Mech. A/Solids, vol.20, pp.385-396.
  • [5] Nayak A.K., Moy S.S.J. and Shenoi R.A. (2002): Free vibration analysis of composite sandwich plates based on Reddy’s higher-order theory. – Composites: Part B, vol.33, No.7, pp.505-519.
  • [6] Zhuk Y.A. and Guz I.A. (2006): Influence of prestress on the velocities of plane waves propagating normally to the layers of nanocomposites. – Int. Appl. Mech., vol.42, No.7, pp.729-743.
  • [7] Zhuk Y.A. and Guz I.A. (2007): Features of propagation of plane waves along to the layers of an initially stressed nanocomposite material. – Int. Appl. Mech., vol.43, No.4, pp.3-26.
  • [8] Pandit M.K., Singh B.N. and Sheikh A.H. (2008): Buckling of laminated sandwich plates with soft core based on an improved higher order zigzag theory. – Thin Wall Struct., vol.46, No.11, pp.1183-1191.
  • [9] Cilli A. and Ozturk A. (2010): Dispersion of torsional waves in initially stressed multilayered circular cylinders. – Mech. Compos. Mater., vol.46, No.2, pp.227-236.
  • [10] Wen-tao H., Tang-dai X. and Wei-yun C. (2014): Influence of lateral initial pressure on axisymmetric wave propagation in hollow cylinder based on first power hypo-elastic model. – J. Cent. South Univ., vol.21, pp.753-760.
  • [11] Hutton D. (2004): Fundamentals of Finite Element Analysis. – New York: McGraw-Hills.
  • [12] Uflyand Y.S. (1963): Integral Transformations in the Theory of Elasticity. – Moscow-Leningrad: Nauka.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9d88c3be-f0cc-4903-a1af-7a164cb0fee4
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