1. Dynamics of bistable composite plates.
- Author
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Mukherjee, Paulomi, Mukherjee, Aghna, Arockiarajan, A., and Ali, Shaikh Faruque
- Subjects
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HAMILTON'S principle function , *INERTIAL mass , *FINITE element method , *LAMINATED materials , *DEGREES of freedom , *EQUATIONS of motion , *FREE vibration , *COMPOSITE plates - Abstract
Nonlinear asymmetric bi-stable composite laminates, characterized by multistable nature and rich dynamics, have seen increased application potential recently. This has necessitated a detailed dynamical analysis of bistable laminates. In this manuscript, the nonlinear behaviour of asymmetric [ 0 n / 9 0 n ] bistable laminates with free–free boundary conditions is investigated through simulations and experimental observations. A refined 17 degrees of freedom (dofs) analytical model is developed, fusing Raleigh–Ritz with Hamilton's principle to obtain the governing nonlinear equations of motion. A nonlinear finite element (FE) model is also developed using ABAQUS®. Experiments are conducted by clamping the midpoint of the plate with a shaker and then exciting it. The composite laminate shows many intricate dynamics, such as sub-harmonic and super-harmonic oscillations, intra-well oscillation (periodic and chaotic), and inter-well snap-through (periodic and chaotic snap-through) prominently. The primary focus of this paper is to highlight the potential of bistable laminates by elucidating the existence of large-amplitude vibrations over a broad frequency range under different input and system parameters. Further, it has been observed that attached mass plays a significant role in modifying the response bandwidth for cross-well oscillation for a given excitation frequency and amplitude. Hence fine-tuning of masses can excite different nonlinear dynamic characteristics of the laminate, making it applicable in different engineering fields. • Analytical, numerical and experimental investigations on the dynamics of bistable asymmetric laminate. • Developed a 17 DoF analytical model and a nonlinear finite element model in ABAQUS. • Experiments are carried out to capture nonlinear behaviour at various excitation and system parameters. • Effect of key parameters, i.e., excitation frequency, excitation amplitude, and the inertial mass are studied. • Symmetric, asymmetric modes, intra-well-sub-harmonics & super harmonics and inter-well oscillations are captured and reported. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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