Numerical and dimensionless analytical solutions for circular arch optimization

2022 ◽  
Vol 253 ◽  
pp. 113360
Author(s):  
A. Manuello Bertetto ◽  
G.C. Marano
Keyword(s):  
Analytical Solutions ◽  
Circular Arch

Lateral Buckling of Cantilevered Circular Arches Under Various End Moments

2020 ◽  
Vol 20 (07) ◽  
pp. 2071005
Author(s):  
Y. B. Yang ◽  
Y. Z. Liu
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Analytical Solutions ◽  
Analytical Approach ◽  
Three Dimensional ◽  
Curved Beams ◽  
Lateral Buckling ◽  
Circular Arch ◽  
Out Of Plane ◽  
The Moment

Lateral buckling of cantilevered circular arches under various end moments is studied using an analytical approach. Three types of conservative moments are considered, i.e. the quasi-tangential moments of the 1st and 2nd kinds, and the semi-tangential moment. The induced moments associated with each of the moment mechanisms undergoing three-dimensional rotations are included in the Newman boundary conditions. Using the differential equations available for the out-of-plane buckling of curved beams, the analytical solutions are derived for a cantilevered circular arch, which can be used as the benchmarks for calibration of other methods of analysis.

Analytical Solutions of Fluid Flows Through Composite Channels

2001 ◽  
Vol 4 (2) ◽  
pp. 16 ◽  
Author(s):  
A. K. Al-Hadhrami ◽  
Lionel Elliott ◽  
Derek B. Ingham ◽  
X. Wen
Keyword(s):  
Analytical Solutions ◽  
Fluid Flows ◽  
Composite Channels

Analytical Solutions and Estimates for Microlevel Flows

2005 ◽  
Vol 8 (2) ◽  
pp. 125-148 ◽  
Author(s):  
F. G. Avkhadiev ◽  
A. R. Kacimov
Keyword(s):  
Analytical Solutions
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