کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
512487 | 866412 | 2013 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Complex potential by hydrodynamic analogy for the determination of flexure–torsion induced stresses in De Saint Venant beams with boundary singularities Complex potential by hydrodynamic analogy for the determination of flexure–torsion induced stresses in De Saint Venant beams with boundary singularities](/preview/png/512487.png)
In this paper, a novel complex potential function for the solution of the flexure–torsion problem in De Saint Venant beams is proposed, considering the simultaneous presence of external shear and torsion excitations. By defining a fictitious vector field and taking advantage of a hydrodynamic analogy, the proposed complex potential function allows the stress vector field and the unitary twist rotation of the cross-section to be determined at once, and, therefore, returns the complete solution of the problem. The proposed approach is well-suited for domains having boundary singularities. A numerical application, implemented by using the Complex Variable Boundary Element Method (CVBEM), is reported for an elliptical cross-section to show the validity of the proposed complex potential. Finally, two singularity problems are analyzed, considering an L-shaped and an epicycloid-shaped cross-section.
Journal: Engineering Analysis with Boundary Elements - Volume 37, Issue 12, December 2013, Pages 1632–1641