-用固相反应法制备了B位空位补偿型钐掺杂非准同型相界组分PZT(54/46)陶瓷.通过正电子湮没寿命谱(PALS)和符合多普勒展宽能谱(CDBS)对陶瓷中的缺陷结构进行综合表征,结合常规表征手段如X射线衍射(XRD),电子扫描显微镜(SEM),介电、铁电...-用固相反应法制备了B位空位补偿型钐掺杂非准同型相界组分PZT(54/46)陶瓷.通过正电子湮没寿命谱(PALS)和符合多普勒展宽能谱(CDBS)对陶瓷中的缺陷结构进行综合表征,结合常规表征手段如X射线衍射(XRD),电子扫描显微镜(SEM),介电、铁电和压电性能测量,研究缺陷对陶瓷压电性能的影响.XRD结果显示所有陶瓷均为纯钙钛矿相,掺杂诱导了菱方-四方(R-T)相变,准同型相界位于Sm掺杂量x=0.010.02.电学测量结果反映:介电、铁电和压电性能均先增强后减弱,MPB附近两个样品都有优异的介电和铁电性能,但其压电性能差别很大.x=0.01给出最优压电性能d_(33)=572 p C/N,较未掺杂样品增强了一倍.PALS结果表明掺杂使陶瓷中缺陷类型发生变化,x≤0.01,样品中同时含有A位空位与B位空位;x≥0.02,样品中以A位相关缺陷为主,B位空位浓度很低.CDBS结果进一步证实x=0.01和0.02中B位空位浓度分别是该体系中最高和最低的.由以上结果推断出:x=0.01获得的最优压电性能与其中较高浓度的B位空位有关,B位空位可稀释A位空位浓度,降低氧空位浓度,从而降低A位空位与氧空位形成缺陷偶极子的几率,促进畴壁运动,使压电性能增强.展开更多
Real and complex Schur forms have been receiving increasing attention from the fluid mechanics community recently,especially related to vortices and turbulence.Several decompositions of the velocity gradient tensor,su...Real and complex Schur forms have been receiving increasing attention from the fluid mechanics community recently,especially related to vortices and turbulence.Several decompositions of the velocity gradient tensor,such as the triple decomposition of motion(TDM)and normal-nilpotent decomposition(NND),have been proposed to analyze the local motions of fluid elements.However,due to the existence of different types and non-uniqueness of Schur forms,as well as various possible definitions of NNDs,confusion has spread widely and is harming the research.This work aims to clean up this confusion.To this end,the complex and real Schur forms are derived constructively from the very basics,with special consideration for their non-uniqueness.Conditions of uniqueness are proposed.After a general discussion of normality and nilpotency,a complex NND and several real NNDs as well as normal-nonnormal decompositions are constructed,with a brief comparison of complex and real decompositions.Based on that,several confusing points are clarified,such as the distinction between NND and TDM,and the intrinsic gap between complex and real NNDs.Besides,the author proposes to extend the real block Schur form and its corresponding NNDs for the complex eigenvalue case to the real eigenvalue case.But their justification is left to further investigations.展开更多
Consider the real, simply-connected, connected, s-step nilpotent Lie group G endowed with a left-invariant, integrable almost complex structure J, which is nilpotent. Consider the simply-connected, connected nilpotent...Consider the real, simply-connected, connected, s-step nilpotent Lie group G endowed with a left-invariant, integrable almost complex structure J, which is nilpotent. Consider the simply-connected, connected nilpotent Lie group Gk, defined by the nilpotent Lie algebra g/ak, where g is the Lie algebra of G, and ak is an ideal of g. Then, J gives rise to an almost complex structure Jk on Gk. The main conclusion obtained is as follows: if the almost complex structure J of a nilpotent Lie group G is nilpotent, then J can give rise to a left-invariant integrable almost complex structure Jk on the nilpotent Lie group Gk, and Jk is also nilpotent.展开更多
文章主要研究Banach代数上反三角算子矩阵的Hirano逆.假设a∈A^(H),b∈A^(sD).如果b^(D)a=0,bab^(π)=0,证明了[a 1 b 0]具有Hirano逆,进而研究了反三角算子矩阵在弱交换条件下的Hirano逆.由此获得了新的可以分解为三幂等元与幂零元和...文章主要研究Banach代数上反三角算子矩阵的Hirano逆.假设a∈A^(H),b∈A^(sD).如果b^(D)a=0,bab^(π)=0,证明了[a 1 b 0]具有Hirano逆,进而研究了反三角算子矩阵在弱交换条件下的Hirano逆.由此获得了新的可以分解为三幂等元与幂零元和的算子矩阵.展开更多
为了完成线性调频(linear frequency modulation,LFM)信号的稀疏采样,并利用稀疏数据对原始信号参数进行估计,本文提出了一种基于Z变换和改进有限新息率(finite rate of innovation,FRI)的LFM信号参数估计方法。以Z变换理论为基础,设计...为了完成线性调频(linear frequency modulation,LFM)信号的稀疏采样,并利用稀疏数据对原始信号参数进行估计,本文提出了一种基于Z变换和改进有限新息率(finite rate of innovation,FRI)的LFM信号参数估计方法。以Z变换理论为基础,设计了一种数学模型,一旦信号能够表达成该数学模型的结构形式,就能通过Z变换和零化滤波器的方法估计信号参数。然后,利用了自相关延迟的FRI结构对LFM信号采样,该结构不仅完成了LFM信号的稀疏采样,而且稀疏采样结果能够与数学模型结构相符。在理论上通过数学论证的方式证明了所提方法能够用于获取LFM信号参数信息,并通过仿真和实测数据验证了所提方法的有效性,理论和实验结果表明该方法只需要4个采样点就能实现对LFM信号的参数估计,并且实验中的参数估计误差均在3%以内,极大的提高有限新息率采样的参数估计效率。展开更多
文摘-用固相反应法制备了B位空位补偿型钐掺杂非准同型相界组分PZT(54/46)陶瓷.通过正电子湮没寿命谱(PALS)和符合多普勒展宽能谱(CDBS)对陶瓷中的缺陷结构进行综合表征,结合常规表征手段如X射线衍射(XRD),电子扫描显微镜(SEM),介电、铁电和压电性能测量,研究缺陷对陶瓷压电性能的影响.XRD结果显示所有陶瓷均为纯钙钛矿相,掺杂诱导了菱方-四方(R-T)相变,准同型相界位于Sm掺杂量x=0.010.02.电学测量结果反映:介电、铁电和压电性能均先增强后减弱,MPB附近两个样品都有优异的介电和铁电性能,但其压电性能差别很大.x=0.01给出最优压电性能d_(33)=572 p C/N,较未掺杂样品增强了一倍.PALS结果表明掺杂使陶瓷中缺陷类型发生变化,x≤0.01,样品中同时含有A位空位与B位空位;x≥0.02,样品中以A位相关缺陷为主,B位空位浓度很低.CDBS结果进一步证实x=0.01和0.02中B位空位浓度分别是该体系中最高和最低的.由以上结果推断出:x=0.01获得的最优压电性能与其中较高浓度的B位空位有关,B位空位可稀释A位空位浓度,降低氧空位浓度,从而降低A位空位与氧空位形成缺陷偶极子的几率,促进畴壁运动,使压电性能增强.
文摘Real and complex Schur forms have been receiving increasing attention from the fluid mechanics community recently,especially related to vortices and turbulence.Several decompositions of the velocity gradient tensor,such as the triple decomposition of motion(TDM)and normal-nilpotent decomposition(NND),have been proposed to analyze the local motions of fluid elements.However,due to the existence of different types and non-uniqueness of Schur forms,as well as various possible definitions of NNDs,confusion has spread widely and is harming the research.This work aims to clean up this confusion.To this end,the complex and real Schur forms are derived constructively from the very basics,with special consideration for their non-uniqueness.Conditions of uniqueness are proposed.After a general discussion of normality and nilpotency,a complex NND and several real NNDs as well as normal-nonnormal decompositions are constructed,with a brief comparison of complex and real decompositions.Based on that,several confusing points are clarified,such as the distinction between NND and TDM,and the intrinsic gap between complex and real NNDs.Besides,the author proposes to extend the real block Schur form and its corresponding NNDs for the complex eigenvalue case to the real eigenvalue case.But their justification is left to further investigations.
文摘Consider the real, simply-connected, connected, s-step nilpotent Lie group G endowed with a left-invariant, integrable almost complex structure J, which is nilpotent. Consider the simply-connected, connected nilpotent Lie group Gk, defined by the nilpotent Lie algebra g/ak, where g is the Lie algebra of G, and ak is an ideal of g. Then, J gives rise to an almost complex structure Jk on Gk. The main conclusion obtained is as follows: if the almost complex structure J of a nilpotent Lie group G is nilpotent, then J can give rise to a left-invariant integrable almost complex structure Jk on the nilpotent Lie group Gk, and Jk is also nilpotent.
文摘为了完成线性调频(linear frequency modulation,LFM)信号的稀疏采样,并利用稀疏数据对原始信号参数进行估计,本文提出了一种基于Z变换和改进有限新息率(finite rate of innovation,FRI)的LFM信号参数估计方法。以Z变换理论为基础,设计了一种数学模型,一旦信号能够表达成该数学模型的结构形式,就能通过Z变换和零化滤波器的方法估计信号参数。然后,利用了自相关延迟的FRI结构对LFM信号采样,该结构不仅完成了LFM信号的稀疏采样,而且稀疏采样结果能够与数学模型结构相符。在理论上通过数学论证的方式证明了所提方法能够用于获取LFM信号参数信息,并通过仿真和实测数据验证了所提方法的有效性,理论和实验结果表明该方法只需要4个采样点就能实现对LFM信号的参数估计,并且实验中的参数估计误差均在3%以内,极大的提高有限新息率采样的参数估计效率。
