Variational formulation of curved beams in global coordinates

Mixed finite element formulation enriched by Adomian method for vibration analysis of horizontally curved beams

Abstract: The vibration analysis of horizontally curved beams is generally led to higher order shape functions using direct finite element method, resulting in more time-consuming computation process. In this paper, the weak-form mixed finite element method was used to reduce the order of shape functions. The shape functions were first considered linear which did not provide adequate accuracy....

Developing a Formulation Based upon Curvature for Analysis of Nonprismatic Curved Beams

A new element with three nodal curvatures has been considered for analysis of the nonprismatic curved beams by finite element method. In the formulation developed, the force-curvature relationships in polar coordinate system have been obtained first, then the curvature of the element has been assumed to have a second-order polynomial function form and the radial, tangential displacements, and r...

Caustics, catastrophes, and symmetries in curved beams

Pablo Vaveliuk,1,* Alberto Lencina,1,2 José A. Rodrigo,3 and Oscar Martinez Matos3 1Centro de Investigaciones Ópticas (CONICET La Plata-CIC), Cno. Centenario y 506, P.O. Box 3, 1897 Gonnet, Argentina 2Departamento de Fı́sica, Fac. de Cs. Exactas, Universidad Nacional de La Plata, P.O. Box 67, 1900 La Plata, Pcia. de Buenos Aires, Argentina 3Departamento de Óptica, Facultad de Ciencias Fı́sicas, U...

Variational Formulation of Problems and Variational Methods

effectiveness of hedstroum files and rotary k3 instruments in removal of obturation materials during retreatment in curved canals

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