Journal
JOURNAL OF SOUND AND VIBRATION
Volume 545, Issue -, Pages -Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2022.117417
Keywords
Bistability; Composites; Dynamics; Semi-analytical; Snap-through; Variable stiffness
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In this research, a novel semi-analytical model is proposed to predict the non-linear dynamic characteristics of bistable variable stiffness (VS) laminates. The model effectively describes the dynamic behavior of laminates during snap-through process using Foppl von Karman kinematics and an efficient energy formulation. The accuracy of the model is verified through comparison with finite element analysis and experimental results. A parametric study is conducted to investigate the effect of different fiber alignments on the dynamic characteristics.
The room-temperature equilibrium stable states of cured unsymmetric composite laminates have been the focus of recent research, with a particular emphasis on shape morphing applications. It has been shown that changing the fiber orientation of unsymmetrical laminates using curvilinear fiber path description can results in a plethora of bistable configurations with an enriched design space. In bistable structures, snap-through involves transition from one stable shape to another, which is a non-linear phenomenon exhibiting rich dynamics during the shape transition. Past works involving such dynamic characteristics show encouraging potential in designing efficient morphing strategies. In this work, a novel semi-analytical model using Foppl von Karman kinematics has been formulated to predict the non-linear dynamic characteristic of bistable variable stiffness (VS) laminates. An efficient energy formulation is adopted where the membrane and bending energies are decoupled using the semi-inverse constitutive equation. The in-plane stress resultants and the energy components are expressed in terms of curvatures using the in-plane equilibrium equations and compatibility conditions. Using Hamilton's principle in conjunction with the Rayleigh-Ritz approach, a set of non-linear equations are generated, which is solved to obtain the dynamics of the snap-through process. The accuracy of the predicted non-linear vibration results of bistable plates from the semi-analytical model is verified using a fully non-linear finite element framework and validated exemplarily by tests on a straight fiber laminate configuration. Finally, a parametric study is performed by tailoring the VS parameters to identify the effect of different curvilinear fiber alignments on the dynamic characteristics of bistable VS laminates.
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