基于质点-弹簧模型的冰雹打击树叶的模拟方法
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摘要
为了实现有别于布料破碎模拟的冰雹打击树叶过程的模拟,研究并提出了一种应用物理学原理的树叶和冰雹相互作用的真实感动态仿真技术,为后续进一步研究叶脉对叶片受力的影响提供了基础。树叶的破碎是源于冰雹受到地面重力的吸引,在下落时与树叶进行能量的传递,二者之间的交互作用可以利用一种高效的技术很好地模拟。该技术被专门设计用来模拟弹力较小的物体,例如树叶的撕裂。当冰雹与树叶进行交互时,由冰雹速度带来的作用力转换为树叶上的横向和纵向的弹簧力从而导致树叶破碎。实验结果表明,该技术能够高效、真实地仿真冰雹撞击树叶后的作用效果,并且在一定程度上还原冰雹自然灾害的情况。
In order to realize the simulation of the process of hail against the leaves, which is different from the fabric crushing simulation, this paper presents a realistic dynamic simulation technology of the interaction between leaves and hail based on physical theory. It opens up a different area from the cloth tearing simulation and proposes the simulation algorithm of the leaf breaking, which provides the foundation for further research on the influence of leaf veins on leave's force-bearing capability.The tearing of the leaves is due to the hail being attracted by the gravitation of the ground,transferring the energy of the hail to the leaves, and the interaction between the two can be well simulated by an efficient technique. The technology is specifically designed to simulate the tearing of objects with less elastic forces such as leaves. When hail interacts with the leaves, the forces due to the hail velocity are translated into lateral and longitudinal spring forces on the leaves, causing the leaves to break. Experimental results show that this technique can effectively and realistically simulate the effect of hail impact on leaves and restore the situation of hail disasters.
In order to realize the simulation of the process of hail against the leaves, which is different from the fabric crushing simulation, this paper presents a realistic dynamic simulation technology of the interaction between leaves and hail based on physical theory. It opens up a different area from the cloth tearing simulation and proposes the simulation algorithm of the leaf breaking, which provides the foundation for further research on the influence of leaf veins on leave's force-bearing capability.The tearing of the leaves is due to the hail being attracted by the gravitation of the ground,transferring the energy of the hail to the leaves, and the interaction between the two can be well simulated by an efficient technique. The technology is specifically designed to simulate the tearing of objects with less elastic forces such as leaves. When hail interacts with the leaves, the forces due to the hail velocity are translated into lateral and longitudinal spring forces on the leaves, causing the leaves to break. Experimental results show that this technique can effectively and realistically simulate the effect of hail impact on leaves and restore the situation of hail disasters.
引文
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[2]HARA A,AOYAMA H,OYA T.Fabric model for clothing design by wrinkle simulation[J].Journal of Mechanical Science and Technology,2014,28(7):2453-2458.
[3]CARMODY D,PUESCHEL M J,TERRY P W.Microtearing simulations in the madison symmetric torus[EB/OL].[2018-06-05].http://meetings.aps.org/link/BAPS.2012.DPP.JP8.155.
[4]孙继忠,胡艳,马永强.基于Delaunay三角剖分生成Voronoi图算法[C]//中国西部网络信息技术及应用研讨会.成都:计算机应用,2009:75-77.
[5]NARAIN R,PFAFF T,O’BRIEN J F.Folding and crumpling adaptive sheets[J].Acm Transactions on Graphics,2013,32(4):1-8.
[6]BUSARYEV O,DEY T K,WANG H.Adaptive fracture simulation of multi-layered thin plates[J].ACM Transactions on Graphics(TOG),2013,32(4):1-6.
[7]GINGOLD Y,SECORD A,HAN J Y,et al.A Discrete model for inelastic deformation of thin shells[EB/OL].[2018-06-02].https://www.researchgate.net/publication/249914666_A_Discrete_Model_for_Inelastic_Deformat ion_of_Thin_Shells.
[8]蒋琦琦,周世哲,施利强.自适应网格揉皱薄片的撕裂模拟[J].中国科学技术大学学报,2016,46(11):892-897.
[9]周绍胜.基于质点-弹簧模型的布料自动撕裂模拟研究[D].广州:华南理工大学,2012.
[10]RUNGJIRATANANON W,KANAMORI Y,METAAPHANON N,et al.Twisting,tearing and flicking effects in string animations[J].Lecture Notes in Computer Science,2011,7060:192-203.
[11]SOUZA M S,WANGENHEIM A V,COMUNELLO E.Fast simulation of cloth tearing[J].SBC Journal on Interactive Systems,2014,5:44-48.
[12]丁建芳,杜春丽,鲍向东,等.一次冰雹云过程及其冰雹形成机制的模拟研究[J].气象与环境科学,2014,37(2):49-57.
[13]TIPPMANN J D.Development of a strain rate sensitive ice material model for hail ice impact simulation[D].San Diego:University of California,2011.
[14]康杰.单颗粒脆性材料冲击破碎三维数值模拟[D].沈阳:沈阳理工大学,2010.
[15]O’BRIEN J F.BARGTEIL A W,HODGINS J K,et al.Graphical modeling and animation of brittle fracture[J].ACM Transactions on Graphic,1999,135(3):291-294.