A nonlinear model is developed for an inextensional elastic beam with open cross section, or thin-walled beam, in order to study the nonlinear interactions in 3D motion. From the analysis of the tridimensional continuum, beyond the classical geometric nonlinearities of the polar model, those related to longitudinal deformations due to large torsional rotations are considered. New terms arise in the expression of the deformation field in term of the generalized configuration variables; among the linear ones the contribution of Vlasov warping is found, while among the nonlinear ones a long series of coupling terms are responsible of new interaction phenomena. The simple case of interactions between longitudinal and torsional motions in a beam-like structure is examined here as an application of proposed theory.
A Nonlinear Model of Open Cross Section Beams for Dynamic Interaction Analysis
DI EGIDIO, ANGELO;LUONGO, Angelo;
1996-01-01
Abstract
A nonlinear model is developed for an inextensional elastic beam with open cross section, or thin-walled beam, in order to study the nonlinear interactions in 3D motion. From the analysis of the tridimensional continuum, beyond the classical geometric nonlinearities of the polar model, those related to longitudinal deformations due to large torsional rotations are considered. New terms arise in the expression of the deformation field in term of the generalized configuration variables; among the linear ones the contribution of Vlasov warping is found, while among the nonlinear ones a long series of coupling terms are responsible of new interaction phenomena. The simple case of interactions between longitudinal and torsional motions in a beam-like structure is examined here as an application of proposed theory.Pubblicazioni consigliate
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