Interaction between fluid and flexible membrane structures by a new fixed-grid direct forcing method

Author(s):  
Hiroki Fukuoka ◽  
Shintaro Takeuchi ◽  
Takeo Kajishima
2006 ◽  
Vol 74 (3) ◽  
pp. 590-594 ◽  
Author(s):  
Amit Shaw ◽  
D Roy

An analysis of large deformations of flexible membrane structures within the tension field theory is considered. A modification of the finite element procedure by Roddeman et al. (Roddeman, D. G., Drukker, J., Oomens, C. W. J., Janssen, J. D., 1987, ASME J. Appl. Mech. 54, pp. 884–892) is proposed to study the wrinkling behavior of a membrane element. The state of stress in the element is determined through a modified deformation gradient corresponding to a fictive nonwrinkled surface. The new model uses a continuously modified deformation gradient to capture the location orientation of wrinkles more precisely. It is argued that the fictive nonwrinkled surface may be looked upon as an everywhere-taut surface in the limit as the minor (tensile) principal stresses over the wrinkled portions go to zero. Accordingly, the modified deformation gradient is thought of as the limit of a sequence of everywhere-differentiable tensors. Under dynamic excitations, the governing equations are weakly projected to arrive at a system of nonlinear ordinary differential equations that is solved using different integration schemes. It is concluded that implicit integrators work much better than explicit ones in the present context.


1995 ◽  
Vol 22 (1) ◽  
pp. 23-31 ◽  
Author(s):  
N. K. Srivastava ◽  
N. Turkkan

Wind interaction with flexible structures, such as air-supported structures, is different from that of the standard rigid structures. Very few experimental studies are available in the literature with regards to wind effects on such structures. This paper presents an experimental wind tunnel study on hemispherical and cylindrical models of varying ratios of height to base width. The results of the steady state pressure distribution on flexible air-supported models are compared with those of the rigid models, which are generally known. Other varying parameters are also considered, such as wind velocity and direction, internal support pressure, and the Reynolds number. Key words: structure, experimental, wind pressure distribution, flexible membrane, cylindrical, spherical.


Author(s):  
Takeshi Seta

We demonstrate the applicability of the immersed boundary lattice Boltzmann method (IB-LBM) based on the implicit correction method to the simulation of rigid body motion in a viscous fluid and to the natural convection calculation. We compare the accuracy of the IB-LBM based on the implicit correction method with one of the IB-LBM based on the direct forcing method that eliminates the necessity of the determination of free parameters. In the simulations of the cylindrical Couette flow and of the heat transfer between two concentric cylinders, the implicit correction method indicates the first-order accuracy in the number of Lagrangian points. The accuracy of the IB-LBM based on the direct forcing method is independent of the number of the boundary points. The IB-LBM based on the implicit correction method is more accurate than one based on the direct forcing method.


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