Stability of parametric vibrations of functionally graded plate

• Autorzy: Tylikowski A.
• Konferencja: Symposium Vibrations in Physical Systems (XXI ; 26-29.05.2004 ; Poznań-Kierz, Polska)
• Języki publikacji: EN

Abstrakty

EN

A study of parametric vibrations of functionally graded plates subjected to in-plane time-dependent forces is presented. The rectangular plate described by geometrically non-linear partial differential equations is studied Moderately large deflection equations taking into account a coupling of in-plane and transverse motions are used. The parametric vibrations or dynamic stability of functionally graded plate are analysed using the direct Liapunov method. Due to a small thickness coupling, and rotary inertia terms are neglected. The asymptotic stability and almost-sure asymptotic stability criteria involving a damping coefficient and loading parameters are derived using Liapunov's direct method. Material properties are graded in the thickness direction of the plate according to volume fraction power law distribution. Studies of parametric vibrations of functionally graded shells made up of steel – zirkonia, nickel – SiN and aluminum - TiC are presented. An oscillating temperature causes generation of in-plane time-dependent forces destabilizing the plane state of the plate equilibrium.

Słowa kluczowe

EN

parametric vibrations; rectangular plate; Liapunov's direct method

PL

parametry drgań; płyta prostokątna; metoda bezpośrednia Lapunowa

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2004
• Tom: Vol. 21
• Strony: 391--394
• Opis fizyczny: Bibliogr. 3 poz., rys., tab., wz.

Twórcy

autor

Tylikowski A.

• Instytut Podstaw Budowy Maszyn, Politechnika Warszawska, Narbutta 84, 02-524 Warszawa

Bibliografia

• 1. C. T. Loy, K. Y. Lam, and J. N. Reddy, Vibration of functionally graded cylindrical shells, Inter. J. Mech. Sci., 41 (1999) 309-324.
• 2. T. Y. Ng, K. Y. Lam, K. M. Liew, and J.N. Reddy, Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading, Inter. J. Solids Struct. 38 (2001) 1295-1309.
• 3. A. Tylikowski, Dynamic stability of non-linear antisymmetrically laminated cross-ply rectangular plates, ASME J. Appl. Mech., 56 (1989) 375-381.