The Timoshenko beam model in presence of internal singularities causing deflection and rotation discontinuities and resting on external concentrated supports along the span is studied in a static context. The internal singularities are modelled as concentrated reductions in the flexural and the shear stiffness by making use of the distribution theory. Along-axis supports are treated as unknown concentrated loads and moments. An exact integration procedure of the proposed model, not requiring continuity conditions at all, is presented. Closed-form solutions are provided for both cases of homogeneous and stepped Timoshenko beams. The so-called static Green’s functions are also obtained by the proposed procedure and their explicit expressions are provided.
|Titolo:||Closed-form solutions for stepped Timoshenko beams with internal singularities and along-axis external supports|
|Data di pubblicazione:||2013|
|Citazione:||Closed-form solutions for stepped Timoshenko beams with internal singularities and along-axis external supports / CALIO' I; CADDEMI S; CANNIZZARO F. - In: ARCHIVE OF APPLIED MECHANICS. - ISSN 0939-1533. - 83:4(2013), pp. 559-577.|
|Appare nelle tipologie:||1.1 Articolo in rivista|