Employing the geometrically exact approach, the governing equations of nonlinear planar motions around nonshallow prestressed equilibrium states of slender beams are derived. Internal kinematic constraints and approximations are introduced considering unshearable extensible and inextensible beams. The obtained approximate models, incorporating quadratic and cubic nonlinearities, are amenable to a perturbation treatment in view of asymptotic solutions. The different perturbation schemes for the two mechanical beam models are discussed. (C) 2003 Elsevier Ltd. All rights reserved.
Modeling of planar nonshallow prestressed beams towards asymptotic solutions / Lacarbonara, Walter; Paolone, Achille; H., Yabuno. - In: MECHANICS RESEARCH COMMUNICATIONS. - ISSN 0093-6413. - STAMPA. - 31:3(2004), pp. 301-310. [10.1016/j.mechrescom.2003.11.004]
Modeling of planar nonshallow prestressed beams towards asymptotic solutions
LACARBONARA, Walter;PAOLONE, ACHILLE;
2004
Abstract
Employing the geometrically exact approach, the governing equations of nonlinear planar motions around nonshallow prestressed equilibrium states of slender beams are derived. Internal kinematic constraints and approximations are introduced considering unshearable extensible and inextensible beams. The obtained approximate models, incorporating quadratic and cubic nonlinearities, are amenable to a perturbation treatment in view of asymptotic solutions. The different perturbation schemes for the two mechanical beam models are discussed. (C) 2003 Elsevier Ltd. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
