在布料仿真过程中,基于位置的动力学方法(Position Based Dynamics, PBD)在布料模拟的效果及实时性方面展现了其优越的性能,但在布料网格精度提升时,为了加快其收敛速度而增加迭代计算次数,会导致模拟效率大幅降低及约束震荡现象的出现...在布料仿真过程中,基于位置的动力学方法(Position Based Dynamics, PBD)在布料模拟的效果及实时性方面展现了其优越的性能,但在布料网格精度提升时,为了加快其收敛速度而增加迭代计算次数,会导致模拟效率大幅降低及约束震荡现象的出现。为了解决以上问题,文章结合对位置动力学方法的研究,提出一种以多重网格思想为核心的布料模拟方法,采用基于二次误差度量(Quadric Error Metrics, QEM)的网格简化法对布料多重网格进行构建,同时结合空间插值算法进行层与层之间的数据传递及位置矫正,可以构建出质量良好的三角网格结构,避免不规则多边形的出现;在布料层次化模拟的基础上,提出结合逐次超松弛迭代法(Successive Over Relaxation, SOR)与Gauss-Seidel方法(GS)的混合平滑方案并验证了其有效性。经实验分析,布料层次化模拟方法提高了质点数目增加后的收敛速度,具有一定的稳定性。展开更多
An essential step for the realization of free-form surface structures is to create an efficient structural gird that satisfies not only the architectural aesthetics,but also the structural performance.Employing the ma...An essential step for the realization of free-form surface structures is to create an efficient structural gird that satisfies not only the architectural aesthetics,but also the structural performance.Employing the main stress trajectories as the representation of force flows on a free-form surface,an automatic grid generation approach is proposed for the architectural design.The algorithm automatically plots the main stress trajectories on a 3D free-form surface,and adopts a modified advancing front meshing technique to generate the structural grid.Based on the proposed algorithm,an automatic grid generator named "St-Surmesh" is developed for the practical architectural design of free-form surface structure.The surface geometry of one of the Sun Valleys in Expo Axis for the Expo Shanghai 2010 is selected as a numerical example for validating the proposed approach.Comparative studies are performed to demonstrate how different structural grids affect the design of a free-form surface structure.展开更多
文摘在布料仿真过程中,基于位置的动力学方法(Position Based Dynamics, PBD)在布料模拟的效果及实时性方面展现了其优越的性能,但在布料网格精度提升时,为了加快其收敛速度而增加迭代计算次数,会导致模拟效率大幅降低及约束震荡现象的出现。为了解决以上问题,文章结合对位置动力学方法的研究,提出一种以多重网格思想为核心的布料模拟方法,采用基于二次误差度量(Quadric Error Metrics, QEM)的网格简化法对布料多重网格进行构建,同时结合空间插值算法进行层与层之间的数据传递及位置矫正,可以构建出质量良好的三角网格结构,避免不规则多边形的出现;在布料层次化模拟的基础上,提出结合逐次超松弛迭代法(Successive Over Relaxation, SOR)与Gauss-Seidel方法(GS)的混合平滑方案并验证了其有效性。经实验分析,布料层次化模拟方法提高了质点数目增加后的收敛速度,具有一定的稳定性。
基金Project(51378457)supported by the National Natural Science Foundation of China
文摘An essential step for the realization of free-form surface structures is to create an efficient structural gird that satisfies not only the architectural aesthetics,but also the structural performance.Employing the main stress trajectories as the representation of force flows on a free-form surface,an automatic grid generation approach is proposed for the architectural design.The algorithm automatically plots the main stress trajectories on a 3D free-form surface,and adopts a modified advancing front meshing technique to generate the structural grid.Based on the proposed algorithm,an automatic grid generator named "St-Surmesh" is developed for the practical architectural design of free-form surface structure.The surface geometry of one of the Sun Valleys in Expo Axis for the Expo Shanghai 2010 is selected as a numerical example for validating the proposed approach.Comparative studies are performed to demonstrate how different structural grids affect the design of a free-form surface structure.
