Latin American Journal of Solids and Structures, Volume (13), No (9), Year (2016-4) , Pages (1782-1801)

Title : ( An Explicit Stiffness Matrix for Parabolic Beam Element )

Authors: Mohaamad Rezaiee Pajand , niloofar rajabzadeh safaei ,

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This study is devoted to strain-based formulation for a curved beam. Arches with parabolic geometry, which have a variety of applications, belong to this structural type. Dependency of the curvature radius to the arch length creates some complexities in the solution process. To analyze these complex structures, a twonodebeam with six degrees of freedom is suggested by utilizing closed-form solution and the stiffness-based finite element method. Considering the effect of shear deformation, and incorporating equilibrium conditions into the finite element model, lead to the exact strains. Displacements and explicit stiffness matrix are found based on these exact strains. To validate the efficiency of the author's formulation, seven numerical tests are performed. The outcomes demonstrate that by employing only a single element, the locking-free answers can be found.


, Finite element method, parabolic beam, explicit stiffness matrix, strain-based formulation, equilibriumconditions
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author = {Rezaiee Pajand, Mohaamad and Rajabzadeh Safaei, Niloofar},
title = {An Explicit Stiffness Matrix for Parabolic Beam Element},
journal = {Latin American Journal of Solids and Structures},
year = {2016},
volume = {13},
number = {9},
month = {April},
issn = {1679-7825},
pages = {1782--1801},
numpages = {19},
keywords = {Finite element method; parabolic beam; explicit stiffness matrix;strain-based formulation; equilibriumconditions},


%0 Journal Article
%T An Explicit Stiffness Matrix for Parabolic Beam Element
%A Rezaiee Pajand, Mohaamad
%A Rajabzadeh Safaei, Niloofar
%J Latin American Journal of Solids and Structures
%@ 1679-7825
%D 2016