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    On a Finite Element Formulation of Dynamical Torsion of Beams Including Warping Inertia and Shear Deformation Due to Nonuniform Warping 

    Source: Journal of Vibration and Acoustics:;1983:;volume( 105 ):;issue: 004:;page 476
    Author(s): A. Potiron; D. Gay
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We start from the energetical expressions of dynamical torsion of beams in terms of angular and warping displacement and velocity. We derive the stiffness and two mass matrices including both ...
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    Limitation of Simplified Hypotheses for the Prediction of Torsional Oscillations for Thin-Walled Beams 

    Source: Journal of Vibration and Acoustics:;1985:;volume( 107 ):;issue: 001:;page 117
    Author(s): A. Potiron; C. Czekajski; S. Laroze; D. Gay
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The study of uniform torsion of thin walled beams is done fairly easily in the thin wall beam case, the effects of thickness being neglected. Then, the classical Saint-Venant warping function ...
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