Complex variable solutions for shallow twin tunnelling in visco-elastic geomaterial considering buoyancy effect and equivalent three-dimensional effects of tunnel faces

2021 ◽  
Vol 91 ◽  
pp. 149-185
Author(s):  
Luo-bin Lin ◽  
Fu-quan Chen ◽  
Yan-ping Lu ◽  
Da-yong Li
1982 ◽  
Author(s):  
M. Namba ◽  
A. Ishikawa

A lifting surface theory is developed for unsteady three-dimensional flow in rotating subsonic, transonic and supersonic annular cascades with fluctuating blade loadings. Application of a finite radial eigenfunction series approximation not only affords a clear insight into the three-dimensional structures of acoustic fields but also provides mathematical expressions advantageous to numerical work. The theory is applied to oscillating blades. Numerical examples are presented to demonstrate three-dimensional effects on aerodynamic characteristics. Three-dimensional effects in supersonic cascades are generally small and strip theory predicts local aerodynamic forces as well as total aerodynamic forces with good accuracy. In transonic flow, however, the strip theory approximation breaks down near the sonic span station and three-dimensional effects are of primary importance.


Géotechnique ◽  
1996 ◽  
Vol 46 (4) ◽  
pp. 775-777 ◽  
Author(s):  
C. W. W. Ng ◽  
M. L. Lings ◽  
B. Simpson ◽  
D. F. T. Nash

2014 ◽  
Vol 111 ◽  
pp. 364-380 ◽  
Author(s):  
V.M. Ribeiro ◽  
P.M. Coelho ◽  
F.T. Pinho ◽  
M.A. Alves

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