S.A. Mitskevich scite author profile

Abstract:In this work dynamic stability loss of closed cylindrical shells is studied. The hybrid type PDEs governing cylindrical shells dynamics and regarding deflection (Airy's) function and stresses are first derived. Then they are reduced to ODEs and algebraic equations (AE) applying the Bubnov-Galerkin high order approximations method. Dynamic stability loss of the cylindrical shells subject to sign-changeable loading using wavelets is investigated. In addition, the convergence of the Bubnov-Galerkin method and results validation are addressed.

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Application of the Lyapunov Exponents and Wavelets to Study and Control of Plates and Shells

Awrejcewicz¹,

Кrysko²,

Папкова³

et al. 2014

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Nonlinear dynamics of heterogeneous shells. Part 2. Chaotic dynamics of variable thickness shells

Krysko

Awrejcewicz

Mitskevich

et al. 2021

International Journal of Non-Linear Mechanics

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S.A. Mitskevich

Nonlinear dynamics of heterogeneous shells Part 1. Statics and dynamics of heterogeneous variable stiffness shells

Dynamic Stability Loss of Closed Circled Cylindrical Shells Estimation Using Wavelets

Application of the Lyapunov Exponents and Wavelets to Study and Control of Plates and Shells

Nonlinear dynamics of heterogeneous shells. Part 2. Chaotic dynamics of variable thickness shells

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