Extended finite element method （XFEM） implementation of the interaction integral methodology for evaluating the stress intensity factors （SIF） of the mixed-mode crack problem is presented. A discontinuous function...Extended finite element method （XFEM） implementation of the interaction integral methodology for evaluating the stress intensity factors （SIF） of the mixed-mode crack problem is presented. A discontinuous function and the near-tip asymptotic function are added to the classic finite element approximation to model the crack behavior. Two-state integral by the superposition of actual and auxiliary fields is derived to calculate the SIFs. Applications of the proposed technique to the inclined centre crack plate with inclined angle from 0° to 90° and slant edge crack plate with slant angle 45°, 67.5° and 90° are presented, and comparisons are made with closed form solutions. The results show that the proposed method is convenient, accurate and computationallv efficient.展开更多
To solve the problems of divergence,low accuracy and project application of membrane wrinkling analysis,an analysis method of zero shear modulus and equivalent stiffness was proposed.This method is an improvement to t...To solve the problems of divergence,low accuracy and project application of membrane wrinkling analysis,an analysis method of zero shear modulus and equivalent stiffness was proposed.This method is an improvement to the previous method (Method I) of local coordinate transposition and stiffness equivalence.The new method is derived and the feasibility is theoretically proved.A small-scale membrane structure is analyzed by the two methods,and the results show that the computational efficiency of the new method (Method II) is approximately 23 times that of Method I.When Method II is applied to a large-scale membrane stadium structure,it is found that this new method can quickly make the second principal stress of one way wrinkled elements zero,and make the two principal stresses of two-way wrinkled elements zero as well.It could attain the correct load responses right after the appearance of wrinkled elements,which indicates that Method II can be applied to wrinkling analysis of large-scale membrane structures.展开更多
针对高速电机和飞轮储能系统等对空间利用率要求较高的场合,提出一种新型异极径向混合磁轴承(heteropolar radial hybrid magnetic bearing,HRHMB).首先,建立该磁轴承的等效磁路模型,通过解析磁场得出其电流刚度、位移刚度及电磁力,并...针对高速电机和飞轮储能系统等对空间利用率要求较高的场合,提出一种新型异极径向混合磁轴承(heteropolar radial hybrid magnetic bearing,HRHMB).首先,建立该磁轴承的等效磁路模型,通过解析磁场得出其电流刚度、位移刚度及电磁力,并通过有限元仿真验证其有效性;然后,在相同约束条件下与传统偏置磁轴承进行对比,分析磁轴承的刚度特性和空间利用率;最后,通过有限元仿真研究新型磁轴承径向两自由度间的电磁力耦合,并与传统磁轴承进行对比.研究结果表明:在相同承载力等约束条件下,该新型磁轴承的体积仅为传统磁轴承的0.87倍,其电磁力在控制电流和转子位移影响下的相对误差值为6.5%,而传统磁轴承的电磁力相对误差为13.6%,表明新型磁轴承径向两自由度的电磁力耦合小于传统磁轴承,解耦效果良好.展开更多
针对工程中对高速磁悬浮列车涡流制动系统(Eddy Current Braking System, ECBS)电磁特性研究不够深入的问题,提出电磁模型并建立制动力与列车运行速度、磁极对数、励磁电流、次级板厚度、励磁线圈匝数、铁芯齿槽结构等参数之间的关系.首...针对工程中对高速磁悬浮列车涡流制动系统(Eddy Current Braking System, ECBS)电磁特性研究不够深入的问题,提出电磁模型并建立制动力与列车运行速度、磁极对数、励磁电流、次级板厚度、励磁线圈匝数、铁芯齿槽结构等参数之间的关系.首先,基于等效电流层法将涡流制动系统分为3个求解区域,并且计算各求解区域内的磁场分布表达式.其次,建立感应电流密度分布模型,计算趋肤效应对次级板材料电导率的影响,并对其进行参数修正.再次,引入次级板材料电导率修正系数,利用各求解区域上的边界条件计算次级板与气隙交界面处的磁通密度表达式.最后,根据麦克斯韦应力张量法推导出制动力表达式,根据磁悬浮列车涡流制动系统的参数搭建三维有限元仿真模型.研究结果表明:在对涡流制动力随速度、励磁电流和次级板厚度3种参数变化情况下的曲线分析可知,解析计算和有限元仿真结果之间的平均相对误差在10%以内,验证了数学解析模型的有效性;制动力随列车运行速度增加,先增大后减小,在速度为50 km/h时出现峰值;制动力随励磁电流、励磁线圈匝数等参数增加而增大;制动力随磁极极距、次级板厚度等参数增加,先增大后趋于平稳;制动力随初级槽深增加先保持平稳,当通过临界点后迅速减小.展开更多
基金Projects(41172244,41072224) supported by the National Natural Science Foundation of ChinaProject(2009GGJS-037) supported by the Foundation of Youths Key Teacher by the Henan Educational Committee,China
文摘Extended finite element method （XFEM） implementation of the interaction integral methodology for evaluating the stress intensity factors （SIF） of the mixed-mode crack problem is presented. A discontinuous function and the near-tip asymptotic function are added to the classic finite element approximation to model the crack behavior. Two-state integral by the superposition of actual and auxiliary fields is derived to calculate the SIFs. Applications of the proposed technique to the inclined centre crack plate with inclined angle from 0° to 90° and slant edge crack plate with slant angle 45°, 67.5° and 90° are presented, and comparisons are made with closed form solutions. The results show that the proposed method is convenient, accurate and computationallv efficient.
基金Project(020940) supported by the Natural Science Foundation of Guangdong Province,China
文摘To solve the problems of divergence,low accuracy and project application of membrane wrinkling analysis,an analysis method of zero shear modulus and equivalent stiffness was proposed.This method is an improvement to the previous method (Method I) of local coordinate transposition and stiffness equivalence.The new method is derived and the feasibility is theoretically proved.A small-scale membrane structure is analyzed by the two methods,and the results show that the computational efficiency of the new method (Method II) is approximately 23 times that of Method I.When Method II is applied to a large-scale membrane stadium structure,it is found that this new method can quickly make the second principal stress of one way wrinkled elements zero,and make the two principal stresses of two-way wrinkled elements zero as well.It could attain the correct load responses right after the appearance of wrinkled elements,which indicates that Method II can be applied to wrinkling analysis of large-scale membrane structures.
文摘针对高速电机和飞轮储能系统等对空间利用率要求较高的场合,提出一种新型异极径向混合磁轴承(heteropolar radial hybrid magnetic bearing,HRHMB).首先,建立该磁轴承的等效磁路模型,通过解析磁场得出其电流刚度、位移刚度及电磁力,并通过有限元仿真验证其有效性;然后,在相同约束条件下与传统偏置磁轴承进行对比,分析磁轴承的刚度特性和空间利用率;最后,通过有限元仿真研究新型磁轴承径向两自由度间的电磁力耦合,并与传统磁轴承进行对比.研究结果表明:在相同承载力等约束条件下,该新型磁轴承的体积仅为传统磁轴承的0.87倍,其电磁力在控制电流和转子位移影响下的相对误差值为6.5%,而传统磁轴承的电磁力相对误差为13.6%,表明新型磁轴承径向两自由度的电磁力耦合小于传统磁轴承,解耦效果良好.
