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Geometrical large deformation-dependent numerical dynamic deflection prediction of cutout borne composite structure under thermomechanical loadings and experimental verification

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Abstract

The geometrical nonlinear dynamic deflections of cutout abided laminated plate/shell panels under thermomechanical loading are being analyzed computationally. The curved structure has been formulated mathematically using higher-order displacement variables. The panel geometrical large deformation under the combined thermomechanical loading has been introduced in the current mathematical model via two strain–displacement relationships (Green and von Kármán). The structural governing equation of motion under the transient loading is converted to its weak form and the algebraic equation sets by taking the advent of the nonlinear finite element discretization technique. Finally, a generic computer program has been prepared (in MATLAB) for the nonlinear solution of a cutout-borne composite structure by adjoining two established techniques (Newmark’s constant acceleration integration scheme and the direct iterative technique). The nonlinear dynamic numerical solution consistency is checked by performing a few convergence tests (time-steps and element densities). In addition, repetitive computations have also been performed to verify the current solution’s accuracy level. The numerical solution has also been compared further with the in-house experimental data from the laboratory-scale test rig. Subsequently, the current solution technique has been utilized to solve the cutout-related parameters (size, shape, position, and orientation), geometrical structure input, and loading conditions. The solutions show applicability with and without the composite’s temperature-dependent elastic properties, including the variable nonlinear strain effect.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology Rourkela, Rourkela, Odisha, 769008, India

    Hukum Chand Dewangan & Subrata Kumar Panda

  2. GRC Department, Applied College, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Samy Refahy Mahmoud

  3. Department of Aerospace Engineering, Indian Institute of Science, Bangalore, Karnataka, 560012, India

    Dineshkumar Harursampath

  4. Department of Mechanical Engineering and Aeronautics, City, University of London, London, UK

    Vinyas Mahesh

  5. Department of Industrial Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Mohammed Balubaid

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  1. Hukum Chand Dewangan
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Dewangan, H.C., Panda, S.K., Mahmoud, S.R. et al. Geometrical large deformation-dependent numerical dynamic deflection prediction of cutout borne composite structure under thermomechanical loadings and experimental verification. Acta Mech 233, 5465–5489 (2022). https://doi.org/10.1007/s00707-022-03403-3

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