<p>The paper developed a new geometrically exact shell element with simplified formula to model the relatively thin structures with large deformations and arbitrary motions. The Green-Lagrange strain tensor was applied to describe the large deformation of shell element, which accurately captures the geometrical nonlinearities even if only the approximations of higher-order componnets of strain tensor are included. The Wiener-Milenkovic parameters were applied to vectorial parameterize the finite rotations of the fiber avoiding the singularities usually occurred in the classical shell formula. A new interpolating algorithm without losing objectivity was designed in this paper to discretize the node vectorial parameters, which makes the new shell element more robust. With the application of Mixed Interpolation of Tensorial Components (MITC), the new shell element is shear-locking free, features second-order accuracy, and contains nine nodes. Each node has five degrees of freedom, three for translations and two for rotations, achieving a minimal set representation of arbitrary motions. All these innovations make the new shell element featuring high computational accuracy with good accuracy. Finally, two flexible multibody dynamic models are discretized by this new shell element. The numerical simulation results were carefully checked and veryified by both the analytical approach and numerical approach, which demonstrated the capability of new shell element dealing with large deformations and arbitrary motions of thin structures.</p>

Finite Element Modeling of Geometrically Exact Shell With Large Deformation and Rotation

Paper Proceedings: https://asmedigitalcollection.asme.org/IDETC-CIE/IDETC-CIE2021/volume/85369

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