Pure torsion of prismatic beams with multiply connected cross sections

1971 ◽  
Vol 7 (7) ◽  
pp. 764-768 ◽  
Author(s):  
I. V. Goncharyuk ◽  
V. L. Rvachev
Keyword(s):  
Cross Sections ◽  
Pure Torsion ◽  
Multiply Connected

Pure Torsion of Thin-Walled Cross Sections

2020 ◽  
pp. 2094-2101
Author(s):  
Michael Krommer ◽  
Yury Vetyukov
Keyword(s):  
Cross Sections ◽  
Pure Torsion ◽  
Thin Walled

scholarly journals The Motion of a Point Vortex in Multiply-Connected Polygonal Domains

Symmetry ◽  
2020 ◽  
Vol 12 (7) ◽  
pp. 1175
Author(s):  
El Mostafa Kalmoun ◽  
Mohamed M. S. Nasser ◽  
Khalifa A. Hazaa
Keyword(s):  
Cross Sections ◽  
Single Point ◽  
Vortex Motion ◽  
Point Vortex ◽  
Multiply Connected Domains ◽  
Polygonal Domains ◽  
Multiply Connected ◽  
Contour Lines ◽  
Circular Domains ◽  
Prime Function

We study the motion of a single point vortex in simply- and multiply-connected polygonal domains. In the case of multiply-connected domains, the polygonal obstacles can be viewed as the cross-sections of 3D polygonal cylinders. First, we utilize conformal mappings to transfer the polygonal domains onto circular domains. Then, we employ the Schottky-Klein prime function to compute the Hamiltonian governing the point vortex motion in circular domains. We compare between the topological structures of the contour lines of the Hamiltonian in symmetric and asymmetric domains. Special attention is paid to the interaction of point vortex trajectories with the polygonal obstacles. In this context, we discuss the effect of symmetry breaking, and obstacle location and shape on the behavior of vortex motion.

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