Abstract
The two- and three-noded spatially coupled thin-walled finite curved beam elements are presented on the basis of assumed strain fields. These elements consider the extensional/inextensional conditions along the centroid axis of curved beam. For curved beams with the extensional condition, the two-noded element is formulated from constant strain and linear curvature fields. And the strain is assumed as linear filed and curvatures are assumed to be third-order ones for the three-noded element. In addition the normal stress at an arbitrary point of symmetric and non-symmetric cross-sections is explicitly evaluated since strain and curvature functions are assumed independently. In order to illustrate the accuracy and the practical usefulness of the present assumed strain curved beam elements, the displacements and the normal stresses of curved beams are evaluated and compared with the previously published results and the solutions by the shell elements from SAP 2000. The emphasis is given in investigating the influence of inextensibility along the beam axis on the coupled behavior of curved beam with respect to the values of boundary condition, subtended angle, and slenderness ratio.
Highlights
Curved beam structures have been used in many civil, mechanical, and aerospace engineering applications such as curved wire, curved girder bridges, turbomachinery blade, tire dynamic, and stiffeners in aircraft structures
The primary purpose of this study is to develop the efficient and membrane locking-free curved beam element based on the assumed strain fields
In order to perform the spatially coupled analysis of thinwalled curved beam with nonsymmetric cross-section, the simple and efficient two- and three-noded curved beam elements based on the assumed strain fields are developed
Summary
Curved beam structures have been used in many civil, mechanical, and aerospace engineering applications such as curved wire, curved girder bridges, turbomachinery blade, tire dynamic, and stiffeners in aircraft structures. It can be used as a simplified model of a shell structure. The accuracy of the results obtained by this method depends on the chosen displacement functions and a large number of terms have to be used in the displacement functions to get the good results for complicated problems This method has to be formulated separately for each problem since the chosen displacement functions depend on the boundary conditions of curved beam. For the analysis of curved beams, the numerical methods are resorted to the finite element method being the mostly widely used because of its versatility and applicability
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