Inflectional Heavy Elastica with Unilateral Contact constraint: Analytical Solution through the Curvilinear Abscissa Mapping approximation

نویسندگان

چکیده

This paper provides an original approximate analytical solution of the Inflectional Heavy Elastica problem using Curvilinear Abscissa Mapping Method (C.A.M.M.). The solution, unlike classic methods, is valid for a wide range rotations (up to 90°). As well known, (inflectional or not) does not have exact even in simplest load cases. CAMM approach allows obtain that sounds very large displacements and rotations. In present contribute we refer inflectional case, which subsists when orientation end-moment acts against bending due lifting load. proposed has similar mathematical form computational effort required classical non-inflectional (non-distributed loads). results are validated by some numerical experimental comparisons, highlighting strong matching. Design-Charts also provided, variables interest deducible upon trend dimensionless parameters, as function end rotation end-applied moment.

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ژورنال

عنوان ژورنال: International Journal of Solids and Structures

سال: 2022

ISSN: ['1879-2146', '0020-7683']

DOI: https://doi.org/10.1016/j.ijsolstr.2021.111258