Two kinds of contact problems, i.e., the frictional contact problem and the adhesive contact problem, in three-dimensional （3D） icosahedral quasicrystals are dis- cussed by a complex variable function method. For th...Two kinds of contact problems, i.e., the frictional contact problem and the adhesive contact problem, in three-dimensional （3D） icosahedral quasicrystals are dis- cussed by a complex variable function method. For the frictional contact problem, the contact stress exhibits power singularities at the edge of the contact zone. For the adhe- sive contact problem, the contact stress exhibits oscillatory singularities at the edge of the contact zone. The numerical examples show that for the two kinds of contact problems, the contact stress exhibits singularities, and reaches the maximum value at the edge of the contact zone. The phonon-phason coupling constant has a significant effect on the contact stress intensity, while has little impact on the contact stress distribution regu- lation. The results are consistent with those of the classical elastic materials when the phonon-phason coupling constant is 0. For the adhesive contact problem, the indentation force has positive correlation with the contact displacement, but the phonon-phason cou- pling constant impact is barely perceptible. The validity of the conclusions is verified.展开更多
In this paper analytic boundary value problems for some classical domains in Cn are developed by using the harmonic analysis due to L.K. Hua. First it is discussed for the version of one variable in order to induce th...In this paper analytic boundary value problems for some classical domains in Cn are developed by using the harmonic analysis due to L.K. Hua. First it is discussed for the version of one variable in order to induce the relation between the analytic boundary value problem and the decomposition of function space L2 on the boundary manifold. Then an easy example of several variables, the version of torus in C2, is stated. For the noncommutative classical group L1, the characteristic boundary of a kind of bounded symmetric domain in C4, the boundary behaviors of the Cauchy integral are obtained by using both the harmonic expansion and polar coordinate transformation. At last we obtain the conditions of solvability of Schwarz problem on L1, if so, the solution is given explicitly.展开更多
加速动态时间规整(fastDTW)算法在测井曲线相似性度量过程中存在异常点问题,且难以确定搜索边界。针对上述问题,本文首先将fastDTW算法与SDTW(summation dynamic time warping)算法结合,得到fastSDTW算法,通过重构测井曲线综合时间序列...加速动态时间规整(fastDTW)算法在测井曲线相似性度量过程中存在异常点问题,且难以确定搜索边界。针对上述问题,本文首先将fastDTW算法与SDTW(summation dynamic time warping)算法结合,得到fastSDTW算法,通过重构测井曲线综合时间序列梯度信息和数值信息解决异常点问题。然后,结合井轨迹资料提出自适应搜索边界,并基于该边界,应用fastSDTW算法进行斜井和水平井测井曲线相似性度量。结果表明,基于自适应搜索边界的fastSDTW算法的精度更高,时间复杂度为O(N),确保了算法的运行速度。最后,将该算法应用到水淹层识别工作中,通过邻井对比的方式识别水淹层,取得了预期的应用效果。展开更多
基金supported by the National Natural Science Foundation of China(Nos.11362018,11261045,and 11261401)the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20116401110002)
文摘Two kinds of contact problems, i.e., the frictional contact problem and the adhesive contact problem, in three-dimensional （3D） icosahedral quasicrystals are dis- cussed by a complex variable function method. For the frictional contact problem, the contact stress exhibits power singularities at the edge of the contact zone. For the adhe- sive contact problem, the contact stress exhibits oscillatory singularities at the edge of the contact zone. The numerical examples show that for the two kinds of contact problems, the contact stress exhibits singularities, and reaches the maximum value at the edge of the contact zone. The phonon-phason coupling constant has a significant effect on the contact stress intensity, while has little impact on the contact stress distribution regu- lation. The results are consistent with those of the classical elastic materials when the phonon-phason coupling constant is 0. For the adhesive contact problem, the indentation force has positive correlation with the contact displacement, but the phonon-phason cou- pling constant impact is barely perceptible. The validity of the conclusions is verified.
文摘In this paper analytic boundary value problems for some classical domains in Cn are developed by using the harmonic analysis due to L.K. Hua. First it is discussed for the version of one variable in order to induce the relation between the analytic boundary value problem and the decomposition of function space L2 on the boundary manifold. Then an easy example of several variables, the version of torus in C2, is stated. For the noncommutative classical group L1, the characteristic boundary of a kind of bounded symmetric domain in C4, the boundary behaviors of the Cauchy integral are obtained by using both the harmonic expansion and polar coordinate transformation. At last we obtain the conditions of solvability of Schwarz problem on L1, if so, the solution is given explicitly.
文摘加速动态时间规整(fastDTW)算法在测井曲线相似性度量过程中存在异常点问题,且难以确定搜索边界。针对上述问题,本文首先将fastDTW算法与SDTW(summation dynamic time warping)算法结合,得到fastSDTW算法,通过重构测井曲线综合时间序列梯度信息和数值信息解决异常点问题。然后,结合井轨迹资料提出自适应搜索边界,并基于该边界,应用fastSDTW算法进行斜井和水平井测井曲线相似性度量。结果表明,基于自适应搜索边界的fastSDTW算法的精度更高,时间复杂度为O(N),确保了算法的运行速度。最后,将该算法应用到水淹层识别工作中,通过邻井对比的方式识别水淹层,取得了预期的应用效果。
