Stability of functionally graded plate under in-plane time-dependent compression

• Autorzy: Tylikowski A.
• Języki publikacji: EN

Abstrakty

EN

Functionally graded materials have gained considerable attention in the high temperature applications. Linear dynamics equations taking into account a coupling of in-plane and transverse motions are used. Material properties are graded in the thickness direction of the plate according to volume fraction power law distribution. An oscillating temperature causes generation of in-plane time-dependent forces destabilizing the plane state of the plate equilibrium. The asymptotic stability and almost-sure asymptotic stability criteria involving a damping coefficient and loading parameters are derived using Liapunov's direct methods. Effects of power law exponent of the stability domains are studied.

Słowa kluczowe

EN

functionally graded material; plates; stability; Liapunov method

PL

funkcjonalny materiał gradientowy; płyty; stateczność; metoda Liapunowa

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2004
• Tom: Vol. 7, nr 2
• Strony: 5--12
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Tylikowski A.

• Warsaw University of Technology, Narbutta 84, 02-524 Warszawa, Poland,

Bibliografia

• [1] Almroth, BO: Influence of edge conditions on the stability of axially compressed cylindrical shells, Journal of American Institute of Aeronautics and Astronautics, (1996), 4, 134-140.
• [2] Loy, CT, Lam, KY, and Reddy, JN: Vibration of functionally graded cylindrical shells, International Journal of Mechanical Sciences, (1999), 41, 309-324.
• [3] Ng, TY, Lam, KY, Liew, KM, and Reddy, JN: Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading, International Journal of Solids and Structures, (2001), 38, 1295-1309.
• [4] Obata, Y, and Noda, N: Transient thermal stresses in a plate of functionally gradient material, Ceramic Transactions, (1993), 34, 403-410.
• [5] Tylikowski, A: Dynamic stability of nonlinear antisymmetrically-laminated crossply rectangular plates, ASME Journal of Applied Mechanics, (1989), 56, 375-381.