Modeling of planar nonshallow prestressed beams towards asymptotic solutions |
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Authors: | W Lacarbonara A Paolone H Yabuno |
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Institution: | a Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma La Sapienza, via Eudossiana 18, 00184, Roma, Italy;b Institute of Engineering Mechanics and Systems, University of Tsukuba, Tsukuba-City 305-8573, Japan |
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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. |
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Keywords: | Author Keywords: Cosserat rod Prestressed arch Post-buckling Initial curvature Direct perturbation approach |
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