A corotational triangular facet shell element for geometrically nonlinear analysis of thin piezoactuated structures

Bisegna, Paolo; Caruso, Giovanni; Caselli, Federica; Nodargi, Nicola A.

doi:10.1016/j.compstruct.2017.03.074

Cited by 9 publications

(1 citation statement)

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“…Hence, the understanding, analysis, and design of their static and dynamic behavior introduce new challenges and open questions which have not been thoroughly addressed thus far. Limited work has been reported on the modeling of the quasi-static response of smart multistable shells, enabling predictions of their feasibility to perform as morphing structures (Bisegna et al, 2017; Kundu et al, 2007; Varelis and Saravanos, 2006, 2008), the required electric potential to induce multistable displacement transitions, the calculation of specific loading and unloading paths, and the influence of multifield (mechanical and thermal) loading.…”

Section: Introductionmentioning

confidence: 99%

Small-amplitude free vibration analysis of active multistable shells under static multifield loading

Varelis

2020

Journal of Vibration and Control

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This study considers the small-amplitude free vibrational response performed on top of the quasi-static snap through buckling, which is accompanied by large displacements and rotations of shallow doubly curved laminated piezoelectric shells under multifield loading. The mechanics incorporate coupling between mechanical, electric, and thermal fields and encompass geometric nonlinearity effects due to large quasi-static displacements and rotations. The governing equations are formulated explicitly in orthogonal curvilinear coordinates and combined with the kinematic assumptions of a mixed-field shear-layerwise shell laminate theory. Based on the above mechanics and adopting the finite element methodology, an eight-node nonlinear shell element is developed to yield the linearized discrete coupled small-amplitude dynamic equations of motion. Initially, the nonlinear coupled equations are linearized and solved quasi-statically using an extended cylindrical arc-length method in combination with the Newton–Raphson iterative technique, and subsequently the free vibration analysis is performed at each solution point. Validation and evaluation cases on laminated cylindrical shells demonstrate the accuracy of the present method and its robust capability to predict the modal response on top of the nonlinear quasi-static response of active multistable shells subject to combined thermo–piezo–electromechanical loads. Numerical cases show the feasibility to develop smart shell structures to detect, via the monitoring of natural frequencies, the onset of snap-through instability. The capability of smart shells to actively modify its natural frequencies such as to promote or mitigate snap-through instabilities is quantified. Additional results quantify the effect of thermomechanical loads on actuation capability. The influence of geometric parameters (curvature and thickness) on the modal response is finally investigated.

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