K. Sinha
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3 records found
1
The primary challenge in nonlinear structural analyses arises due to the replacement of the scalable linear methods with the iterative predictor-corrector methods. This can significantly exacerbate the required computational effort. The same limitation also extends to aeroelastic analyses. Beyond the computational aspects, the larger wing deflections introduce aeroelastic effects that cannot be modelled using the linear methods. Prior studies have demonstrated the influence of geometric nonlinearities on aeroelastic characteristics. Notably, a majority of numerical models used to investigate these effects so far rely on variants of geometrically exact beam theory for incorporating nonlinear structural kinematics. While this approach makes the analyses computationally efficient, it involves transforming finite element models into equivalent beam models..... ...
The primary challenge in nonlinear structural analyses arises due to the replacement of the scalable linear methods with the iterative predictor-corrector methods. This can significantly exacerbate the required computational effort. The same limitation also extends to aeroelastic analyses. Beyond the computational aspects, the larger wing deflections introduce aeroelastic effects that cannot be modelled using the linear methods. Prior studies have demonstrated the influence of geometric nonlinearities on aeroelastic characteristics. Notably, a majority of numerical models used to investigate these effects so far rely on variants of geometrically exact beam theory for incorporating nonlinear structural kinematics. While this approach makes the analyses computationally efficient, it involves transforming finite element models into equivalent beam models.....
Cantilevers find a wide range of applications in the design of scientific equipment and large-scale engineering structures such as aircraft wings. Analysis techniques based on linearization approximations are unable to capture the large amplitude oscillation behaviour of such structures and thus, necessitates development of dedicated nonlinear methods. In this work, the recent developments in the Koiter-Newton model reduction method are utilized to obtain nonlinear reduced order models (ROMs) from full finite element structural models in order to simulate large amplitude dynamics of cantilevers. The method describes a nonlinear system of governing equations comprising quadratic and cubic terms which are obtained as higher order derivatives of the in-plane strain energy. To ensure that the large rotations in cantilevers and the resultant foreshortening effect is also accounted for, a ROM updating algorithm is adopted where the ROM parameters are varied with the structural deflections. Linear eigenmodes of the structure are utilized to form the reduction subspace. To validate the methodology, the ROM solution is compared against experimental results and a convergence study is conducted to identify the number of modes needed to replicate the nonlinear response. Finally, a composite wingbox structure is considered for which time domain simulations are conducted and frequency response curves, obtained through a frequency sweep, are presented.