Abstract
Nonlinear dynamic response with stability analysis of a sandwich structure with flexible core are investigated by integration of variational asymptotic method (VAM) and the first-order shear deformation theory. A simply supported sandwich structure is subjected to an harmonic transverse excitation in thermal environments. Generalized 2 D Reissner-Mindlin type stiffness matrices including an equivalent transverse shear matrix are obtained based on through-the-thickness analysis using VAM without invoking any ad hoc kinematic assumptions. The governing equation is derived using Hamilton’s principle taking into account von K (Formula presented.) rm (Formula presented.) n geometric nonlinearity. Galerkin’s method is employed to develop a nonlinear differential equation of the problem with quadratic and cubic nonlinearities, which are associated with the coupling of the in-plane stretching and transverse deflection due to thermal moments. Periodic solutions are determined using the incremental harmonic balance (IHB) method and incremental arc-length technique. The stability is evaluated by Routh-Hurwitz theory. The effects of the temperature variation, geometric parameters and material properties on the resonance as well as amplitude of steady state vibration are investigated through a detail parametric study.
Original language | English |
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Pages (from-to) | 3414-3449 |
Number of pages | 36 |
Journal | Journal of Sandwich Structures and Materials |
Volume | 23 |
Issue number | 7 |
DOIs | |
Publication status | Published - Oct 2021 |
Keywords
- Nonlinear dynamic response
- first-order shear deformation theory
- flexible core
- incremental harmonic balance
- thermal environment
- variational-asymptotic method