Given a positive definite matrix measure Ω supported on the unit circle T, then main purpose of this paper is to study the asymptotic behavior of L n()L n(Ω) -1 and Φ n(z;)Φ n(z;Ω) -1 where(z)=Ω(z)+Mδ(z-w...Given a positive definite matrix measure Ω supported on the unit circle T, then main purpose of this paper is to study the asymptotic behavior of L n()L n(Ω) -1 and Φ n(z;)Φ n(z;Ω) -1 where(z)=Ω(z)+Mδ(z-w); |w|>1,M is a positive definite matrix and δ is the Dirac matrix measure. Here, L n(·) means the leading coefficient of the orthonormal matrix polynomials Φ n(z;·). Finally, we deduce the asymptotic behavior of Φ n(w;)Φ n(w;Ω)* in the case when M=I.展开更多
【目的】为准确高效地分析多轴双环磁力齿轮(Multishaft Double Ring-Plate Magnetic Gears,MDRMGs)的磁力与动力学特性,改善摆线式磁力齿轮(Cycloidal Permanent Magnetic Gear,CPMG)转臂轴承工况并延长使用寿命,将磁力齿轮与机械式环...【目的】为准确高效地分析多轴双环磁力齿轮(Multishaft Double Ring-Plate Magnetic Gears,MDRMGs)的磁力与动力学特性,改善摆线式磁力齿轮(Cycloidal Permanent Magnetic Gear,CPMG)转臂轴承工况并延长使用寿命,将磁力齿轮与机械式环板齿轮相结合,设计了一种多轴双环磁力齿轮传动结构。【方法】提出一种磁场单元归类法,进而建立了高效且计及端部漏磁效应的气隙磁场及静态转矩数理模型;同时,基于Riccati传递矩阵法,建立了MDRMG偏心轴转子系统动力学模型。【结果】将磁场单元归类法与有限元法进行对比,发现二者所得的磁密度及磁力结果高度一致,但磁场单元归类法的计算耗时更短;分析还发现,环板间距的变化会影响磁场单元的归类计算及动力学模型中的集总参数,使得MDRMG的静态磁力转矩随环板间距的增加而增加,偏心轴的临界转速随环板间距的增加而减小。磁场单元归类法能够高效且准确地分析MDRMG的气隙磁场及转矩特性;同时,环板间距对MDRMGs的磁场和动力学性能有一定影响。展开更多
文摘Given a positive definite matrix measure Ω supported on the unit circle T, then main purpose of this paper is to study the asymptotic behavior of L n()L n(Ω) -1 and Φ n(z;)Φ n(z;Ω) -1 where(z)=Ω(z)+Mδ(z-w); |w|>1,M is a positive definite matrix and δ is the Dirac matrix measure. Here, L n(·) means the leading coefficient of the orthonormal matrix polynomials Φ n(z;·). Finally, we deduce the asymptotic behavior of Φ n(w;)Φ n(w;Ω)* in the case when M=I.
文摘【目的】为准确高效地分析多轴双环磁力齿轮(Multishaft Double Ring-Plate Magnetic Gears,MDRMGs)的磁力与动力学特性,改善摆线式磁力齿轮(Cycloidal Permanent Magnetic Gear,CPMG)转臂轴承工况并延长使用寿命,将磁力齿轮与机械式环板齿轮相结合,设计了一种多轴双环磁力齿轮传动结构。【方法】提出一种磁场单元归类法,进而建立了高效且计及端部漏磁效应的气隙磁场及静态转矩数理模型;同时,基于Riccati传递矩阵法,建立了MDRMG偏心轴转子系统动力学模型。【结果】将磁场单元归类法与有限元法进行对比,发现二者所得的磁密度及磁力结果高度一致,但磁场单元归类法的计算耗时更短;分析还发现,环板间距的变化会影响磁场单元的归类计算及动力学模型中的集总参数,使得MDRMG的静态磁力转矩随环板间距的增加而增加,偏心轴的临界转速随环板间距的增加而减小。磁场单元归类法能够高效且准确地分析MDRMG的气隙磁场及转矩特性;同时,环板间距对MDRMGs的磁场和动力学性能有一定影响。
