使用基于快速傅里叶变换和共轭梯度法的接触程序,分析了滤波截止频率对粗糙点接触机理的影响.计算结果表明:粗糙表面形貌数据再处理时使用的滤波器滤波截止频率,对力-接近量关系有着明显的影响;滤波截止频率越小,接触面积越大,接触压力...使用基于快速傅里叶变换和共轭梯度法的接触程序,分析了滤波截止频率对粗糙点接触机理的影响.计算结果表明:粗糙表面形貌数据再处理时使用的滤波器滤波截止频率,对力-接近量关系有着明显的影响;滤波截止频率越小,接触面积越大,接触压力越小;滤波截止频率的改变会导致Von M ises应力的显著改变,这种改变在接触面上特别明显.因此,在实际研究粗糙表面的接触机理时,选择合适的滤波截止频率是非常必要的.展开更多
We introduce in this note the notions of asymptotic excision of proper metric spaces and asymptotic equivalence relation for subspaces of metric spaces, which are relevant in characterizing spatial ideals of the asymp...We introduce in this note the notions of asymptotic excision of proper metric spaces and asymptotic equivalence relation for subspaces of metric spaces, which are relevant in characterizing spatial ideals of the asymptotic coarse Roe algebras. We show that the lattice of the asymptotic equivalence classes of the subspaces of a proper metric space is isomorphic to the lattice of the spatial ideals of the asymptotic Roe algebra. For asymptotic excisions of the metric space, we also establish a MayeroVietoris sequence in K-theory of the asymptotic coarse Roe algebras.展开更多
文摘使用基于快速傅里叶变换和共轭梯度法的接触程序,分析了滤波截止频率对粗糙点接触机理的影响.计算结果表明:粗糙表面形貌数据再处理时使用的滤波器滤波截止频率,对力-接近量关系有着明显的影响;滤波截止频率越小,接触面积越大,接触压力越小;滤波截止频率的改变会导致Von M ises应力的显著改变,这种改变在接触面上特别明显.因此,在实际研究粗糙表面的接触机理时,选择合适的滤波截止频率是非常必要的.
基金This workis supported in part by NNSFC grant10201007the Fund of Donghua University .
文摘We introduce in this note the notions of asymptotic excision of proper metric spaces and asymptotic equivalence relation for subspaces of metric spaces, which are relevant in characterizing spatial ideals of the asymptotic coarse Roe algebras. We show that the lattice of the asymptotic equivalence classes of the subspaces of a proper metric space is isomorphic to the lattice of the spatial ideals of the asymptotic Roe algebra. For asymptotic excisions of the metric space, we also establish a MayeroVietoris sequence in K-theory of the asymptotic coarse Roe algebras.