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Nonlinear dynamic stability of laminated composite shells integrated with piezoelectric layers in thermal environment

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Abstract

This paper reports the nonlinear dynamic stability characteristics of laminated composite cylindrical (CYL) and spherical (SPH) shells integrated with piezoelectric layers using the finite element method. The shells are subjected to a thermal environment in addition to the in-plane periodic load and the electric load. The theoretical formulation considers Sanders’ approximation for doubly curved shells, and von Kármán type nonlinear strains are incorporated into the first-order shear deformation theory (FSDT). The formulation includes the effects of transverse shear, in-plane and rotatory inertia. The in-plane periodic load is taken as the parametric excitation in the governing equation. The nonlinear matrix amplitude equation is obtained by employing Galerkin’s method. The correctness of the formulation is established by comparing the authors’ results with those available in the published literature. Detailed parametric studies are carried out to investigate the effects of different parameters on the dynamic stability characteristics of laminated composite shells.

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Authors and Affiliations

  1. Department of Applied Mechanics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India

    S. Pradyumna

  2. Department of Civil Engineering, National Institute of Technology, Rourkela, Orissa, 769008, India

    Abhishek Gupta

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  1. S. Pradyumna
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  2. Abhishek Gupta
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Correspondence to S. Pradyumna.

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Pradyumna, S., Gupta, A. Nonlinear dynamic stability of laminated composite shells integrated with piezoelectric layers in thermal environment. Acta Mech 218, 295–308 (2011). https://doi.org/10.1007/s00707-010-0424-4

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  • DOI: https://doi.org/10.1007/s00707-010-0424-4

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