VIBRATIONS OF TWO-LAYER PLATES OF CONSTANT THICKNESS
( Pp. 52-67)

More about authors
Rakhimov Rustam Kh. Dr. Sci. (Eng.), Professor; Head at the Laboratory No. 1
Institute of Materials Science of the SPA “Physics-Sun” of the Academy of Science of Uzbekistan
Tashkent, Republic of Uzbekistan Umaraliev Nurmamat kand. tehn. nauk, docent kafedry «Telekommunikacionnyy inzhiniring»
Ferghana Branch Tashkent University Information Technology (FBTUIT) Djalilov Mamatisa L. Cand. Sci. (Eng.); Head at the Department “Computer Systems”
Fergana branch of the Tashkent University of Information Technologies named after Muhammad Al-Khorazmiy
Fergana, Republic of Uzbekistan
For read the full article, please, register or log in
Abstract:
Within last decades laminose plates are object of numerous and various researches. Such plates represent the basic supporters of responsible engineering designs and constructions.In many cases, the plates are not homogeneous in thickness, in particular, they are piecewise homogeneous (double layers, etc.).At present, there is practically no theory of oscillation of piecewise homogeneous plates, and therefore the development of the theory and methods for calculating such plates is an actual problem of structural mechanics.In given article, in a general three-dimensional formulation, we formulate the problem of the vibration of two-layered two-layer plates of constant thickness. The general rules of oscillation are derived, expressions are given for displacements and pressure at internal points of plastics through functions describing the displacements and deformations of points.
How to Cite:
Rakhimov R.K., Umaraliev N.., Djalilov M.L., (2018), VIBRATIONS OF TWO-LAYER PLATES OF CONSTANT THICKNESS. Computational Nanotechnology, 2: 52-67.
Reference list:
Lyav A. Matematicheskaya teoriya uprugosti. M.-L.: ONTI, 1935. 630 s.
Filippov I.G., Egorychev O.A. Volnovye protsessy v lineynykh vyazkouprugikh sredakh. M.: Mashinostroenie, 1983. 272 s.
Achenbach J.D. An asymptotic method to analyze the vibrations of elastic layer // Trans. ASME,1969. Vol. E 34, No 1. P. 37-46.
Brunelle E.J. The elastics and dynamics of a transversely isotropic Timoshenko beam // J. Compos. Mater., 1970. Vol. 4. R. 404-416.
Brunelle E.J. Buckling of transversely isotropic Mindlen plates // AIAA, 1971. Vol. 9, No 6. R. 1018-1022.
Gallahan W.R. On the flexural vibrations of circular and elliptical plates // Quart. Appl. Math., 1956. Vol. 13, No 4. R. 371-380.
Dong S. Analysis of laminated shells of revolution // J. Esg. Mech. Div. Proc. Amer. Sac. Civil Engrs., 1966. Vol. 92, No 6.
Dong S., Pister R.S., Taylor R.L. On the theory of laminated anisotropic shells and plates // J. of the Aerosp. Sci., 1962Vol. 29, No 8.
Monforton C.R., Schmot L.A. Finite element analysis of sandwich plates and cylindrical shells with laminated fases // Proc. Of the Conference an Matrix Methods in Struct. Mech TR-68-150 Air Force Fligth Dynamics Lab. Wright-Patterson Air Force Base Ohio, 1968.
Schmid L.A., Monforton G.R. Finite deflection discrete element analysis of sandwich plates and cylindrical shells with laminated faces // AIAA Journal, 1970. Vol. 8, No 8.
Keywords:
fluctuations, two-layer plate, boundary value problem, voltage, deformation, the equation of oscillations.