Due to the disadvantage of mesh distortion and large computer time consuming in the commonly used numerical methods, material point method (MPM for short) is proposed to deal with the wind-membrane structure interaction. The solid is described by MPM, whereas the fluid is described using immersed boundary method. The effect of the solid on fluid is taken into account through imposing boundary conditions on the immediate vicinity mesh nodes. The effect of the fluid on solid is taken into account by imposing pressure and shear stress on the solid surface. And the procedures for solving the solid equations, fluid equations and the fluid-structure interaction are presented, respectively. The algorithm is applied to a 2D membrane structure interacting with wind. The results such as structural responses and fluid pressure field are obtained, which are in good agreement with those obtained using finite element method. (FEM) And computing efficiency is compared between MPM and FEM, where MPM shows better efficiency. It is shown that ideal results can be obtained in wind-structure interaction by employing MPM, with great improvement in computing efficiency.
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
References
[1] 刘欣.无网格方法. 2011, 北京: 科学出版社
[2]Sulsky D, Schreyer H L., Axisymmetric form of the material point method with applications to upsetting and taylor impact problems. Computer Methods in Applied Mechanics and Engineering, 1996, 139 (1-4): 409-429
[3] Sulsky D, Chen Z, Schreyer H L., A particle method for history-dependent materials. Computer Methods in Applied Mechanics and Engineering, 1994,118 (1-2): 179-196
[4] W. Hu, Z. Chen, Model-based simulation of the synergistic effects of blast and fragmentation on a concrete wall using the MPM, Int. J. Impact Eng. 2006 ,32 (12), 2066–2096.
[5] Y.P. Lian, X. Zhang, X. Zhou, et al., Numerical simulation of explosively driven metal by material point method, Int. J. Impact Eng. 2011 , 38 :237–245.
[6] H.W. Zhang, K.P. Wang, Z. Chen, Material point method for dynamic analysis of saturated porous media under external contact/impact of solid bodies, Comput. Meth. Appl. Mech. Eng. 2009, 198: 1456–1472.
[7] S. Andersen, L. Andersen, Modelling of landslides with the material-point method, Comput. Geosci. 2010, 14: 137–147.
[8] J.A. Nairn, Material point method calculations with explicit cracks, Comput. Model Eng. Sci.,2003, 4: 649–663.
[9] D.Z. Zhang, Q. Zou, W.B. VanderHeyden, X. Ma, Material point method applied to multiphase flows, J. Comput. Phys. 2008, 227: 3159–3173.
[10]Sotiropoulos F, Constantinescu G. Pressure-based residual smoothing operators for multistage pseudo-compressibility algorithms. Journal of Computational Physics 1997; 133(1):129–145.
{{custom_fnGroup.title_en}}
Footnotes
{{custom_fn.content}}