Abstract
A new triangular cylindrical shell finite element is used to obtain an elastic linear analysis of a cylindrical shell roof. The element’s displacement fields are in terms of curvilinear coordinates, satisfy the exact requirement of rigid body modes of deformation and have five degrees of freedom at each of the three corner nodes. The efficiency of the developed element is first tested and then applied to analyze stiffened cylindrical shell roof. The results of the displacement and stress resultant along the stiffener are presented and a parametric study is carried out to find the effect of the varying geometry of the stiffener and the effect of axis rotation of the beam on the level of the internal forces.
Highlights
Stiffened cylindrical shells are widely used as structural components in engineering applications such as roofs, bridges, aircraft, ships and offshore structures
In the United Kingdom, a simple alternative approach has been used in the development of curved elements. This approach is based on determining the exact terms representing all the rigid body modes together with the displacement functions representing the straining of the element by assuming independent strain functions insofar as it is allowed by the compatibility equations
The element is used in the analysis of stiffened cylindrical shell roof and the results of the displacement as well as various stresses are presented
Summary
Stiffened cylindrical shells are widely used as structural components in engineering applications such as roofs, bridges, aircraft, ships and offshore structures. In the United Kingdom, a simple alternative approach has been used in the development of curved elements This approach is based on determining the exact terms representing all the rigid body modes together with the displacement functions representing the straining of the element by assuming independent strain functions insofar as it is allowed by the compatibility equations. This approach has successfully employed in the development of curved shell elements by Ashwell et al [9,10]; Sabir et al [11,12-13,14]; El-Erris [1516] and Mousa [17,18-19,20-21,22]. The work is extended by investigating the effect of varying the sizes of stiffener and axis rotated beam elements at the free ends on the behaviour of the shell roof
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