TB/T 3549.1—2019《机车车辆强度设计及试验鉴定规范转向架第1部分:转向架构架》给出了扭曲载荷的定义,但未明确转向架构架在扭曲载荷条件下开展静态试验和疲劳试验的测试方法。依据转向架构架实验室测试条件和JIS E 4207—2019《铁路...TB/T 3549.1—2019《机车车辆强度设计及试验鉴定规范转向架第1部分:转向架构架》给出了扭曲载荷的定义,但未明确转向架构架在扭曲载荷条件下开展静态试验和疲劳试验的测试方法。依据转向架构架实验室测试条件和JIS E 4207—2019《铁路车辆转向架转向架构架设计通则》,提出一种无一系弹簧条件下测试转向架构架刚度,来完成扭曲载荷试验的方法。详细论述转向架构架扭曲载荷与变形量关系、扭曲刚度测试原理,并对比西南交通大学和实验室扭曲刚度测试方法。有限元软件分析计算结果表明,2种测试方法的误差都控制在6%之内,采用实验室扭曲刚度测试方法,开展加载扭曲载荷试验,用以评估转向架构架结构强度更安全。展开更多
Oriented quantum algebras （coalgebras） are generalizations of quasitriangular Hopf algebras （coquasitriangular Hopf algebras） and account for regular isotopy invariants of oriented 1-1 tangles, oriented knots and ...Oriented quantum algebras （coalgebras） are generalizations of quasitriangular Hopf algebras （coquasitriangular Hopf algebras） and account for regular isotopy invariants of oriented 1-1 tangles, oriented knots and links. Let （H, or, D, U） be an oriented quantum coalgebra over the field k. Then （H×H, φ, D×D, U× U） is a trivial oriented quantum coalgebra structure on the tensor product of coalgebra H with itself, where φ （a × b, c × d） = σ-（ a, c）σ （b, d）. This paper presents the oriented quantum coalgebra structure （ H×H, σ, D×D, U× U） on coalgebra H× H, where σ（ a × b, c× d） = σ ^-1 （ d1, a1 ） σ（ a2, c1 ） σ^-1 （ d2, b1 ） σ（ b2, c2 ）. So a nontrivial oriented quantum coalgebra structure is obtained and it is dual to Radford＇s results in the paper ＂On the tensor product of an oriented quantum algebra with itself＂ published in 2007. Theoretically, the results of this paper are important in constructing the invariants of oriented knots and links.展开更多
The definition and an example of BiHom-associative H-pseudoalgebra are given.A BiHom-H-pseudoalgebra is an H-pseudoalgebra(A,μ)with two mapsα,β∈HomH(A,A)satisfying the BiHom-associative law which generalizes BiHom...The definition and an example of BiHom-associative H-pseudoalgebra are given.A BiHom-H-pseudoalgebra is an H-pseudoalgebra(A,μ)with two mapsα,β∈HomH(A,A)satisfying the BiHom-associative law which generalizes BiHom-associative algebras and associative H-pseudoalgebras.Secondly,a method which is called the Yau twist of constructing BiHom-associative H-pseudoaglebra(A,(IH■H■Hα)μ,α,β)from an associative H-pseudoalgebra(A,μ)and two maps of H-pseudoalgebrasα,β,is introduced.Thirdly,a generalized form of the Yau twist is discussed.It concerns constructing a BiHom-associative H-pseudoalgebra(A,μ(α■β),α^~α,β^~β)from a BiHom-associative H-pseudoalgebra(A,μ,α^~,β^~)and two mapsα,β∈Hom H(A,A).Finally,a method of constructing BiHom-associative H-pseudoalgebra on tensor product space A■B of two BiHom-associative H-pseudoalgebras is given.展开更多
In order to find the relationships between the distortion rule ofthe concrete and its surrounding stress field, a real-time opticalholographic setup is used to record the distribution and thevariation of the samples, ...In order to find the relationships between the distortion rule ofthe concrete and its surrounding stress field, a real-time opticalholographic setup is used to record the distribution and thevariation of the samples, the waveforms of ultrasonic emissionstimulated by the micro-cracks are recorded by a transient automaticwaveform recorder to determine the time location and intensity of theactions of micro-cracks. The experiment results are worth studying.This method provides a useful experimental approach to study thebrittleness materials.展开更多
Are quantum states real? This most fundamental question in quantum mechanics has not yet been satisfactorily resolved, although its realistic interpretation seems to have been rejected by various delayedchoice experim...Are quantum states real? This most fundamental question in quantum mechanics has not yet been satisfactorily resolved, although its realistic interpretation seems to have been rejected by various delayedchoice experiments. Here, to address this long-standing issue, we present a quantum twisted double-slit experiment. By exploiting the subluminal feature of twisted photons, the real nature of a photon during its time in flight is revealed for the first time. We found that photons' arrival times were inconsistent with the states obtained in measurements but agreed with the states during propagation. Our results demonstrate that wavefunctions describe the realistic existence and evolution of quantum entities rather than a pure mathematical abstraction providing a probability list of measurement outcomes. This finding clarifies the long-held misunderstanding of the role of wavefunctions and their collapse in the evolution of quantum entities.展开更多
We study the concept of module twistor for a module over an algebra. This concept provides a unifying framework for various deformed constructions of modules over algebras, such as module R-matrices,(n-factor iterated...We study the concept of module twistor for a module over an algebra. This concept provides a unifying framework for various deformed constructions of modules over algebras, such as module R-matrices,(n-factor iterated) twisted tensor products and L-R-twisted tensor products of algebras. Among the main results,we find the relations among these constructions. Furthermore, we study some properties of module twistors.展开更多
文摘TB/T 3549.1—2019《机车车辆强度设计及试验鉴定规范转向架第1部分:转向架构架》给出了扭曲载荷的定义,但未明确转向架构架在扭曲载荷条件下开展静态试验和疲劳试验的测试方法。依据转向架构架实验室测试条件和JIS E 4207—2019《铁路车辆转向架转向架构架设计通则》,提出一种无一系弹簧条件下测试转向架构架刚度,来完成扭曲载荷试验的方法。详细论述转向架构架扭曲载荷与变形量关系、扭曲刚度测试原理,并对比西南交通大学和实验室扭曲刚度测试方法。有限元软件分析计算结果表明,2种测试方法的误差都控制在6%之内,采用实验室扭曲刚度测试方法,开展加载扭曲载荷试验,用以评估转向架构架结构强度更安全。
基金The National Natural Science Foundation of China(No.10871042)
文摘Oriented quantum algebras （coalgebras） are generalizations of quasitriangular Hopf algebras （coquasitriangular Hopf algebras） and account for regular isotopy invariants of oriented 1-1 tangles, oriented knots and links. Let （H, or, D, U） be an oriented quantum coalgebra over the field k. Then （H×H, φ, D×D, U× U） is a trivial oriented quantum coalgebra structure on the tensor product of coalgebra H with itself, where φ （a × b, c × d） = σ-（ a, c）σ （b, d）. This paper presents the oriented quantum coalgebra structure （ H×H, σ, D×D, U× U） on coalgebra H× H, where σ（ a × b, c× d） = σ ^-1 （ d1, a1 ） σ（ a2, c1 ） σ^-1 （ d2, b1 ） σ（ b2, c2 ）. So a nontrivial oriented quantum coalgebra structure is obtained and it is dual to Radford＇s results in the paper ＂On the tensor product of an oriented quantum algebra with itself＂ published in 2007. Theoretically, the results of this paper are important in constructing the invariants of oriented knots and links.
基金The National Natural Science Foundation of China(No.11371088,11571173,11871144)the Natural Science Foundation of Jiangsu Province(No.BK20171348)
文摘The definition and an example of BiHom-associative H-pseudoalgebra are given.A BiHom-H-pseudoalgebra is an H-pseudoalgebra(A,μ)with two mapsα,β∈HomH(A,A)satisfying the BiHom-associative law which generalizes BiHom-associative algebras and associative H-pseudoalgebras.Secondly,a method which is called the Yau twist of constructing BiHom-associative H-pseudoaglebra(A,(IH■H■Hα)μ,α,β)from an associative H-pseudoalgebra(A,μ)and two maps of H-pseudoalgebrasα,β,is introduced.Thirdly,a generalized form of the Yau twist is discussed.It concerns constructing a BiHom-associative H-pseudoalgebra(A,μ(α■β),α^~α,β^~β)from a BiHom-associative H-pseudoalgebra(A,μ,α^~,β^~)and two mapsα,β∈Hom H(A,A).Finally,a method of constructing BiHom-associative H-pseudoalgebra on tensor product space A■B of two BiHom-associative H-pseudoalgebras is given.
文摘In order to find the relationships between the distortion rule ofthe concrete and its surrounding stress field, a real-time opticalholographic setup is used to record the distribution and thevariation of the samples, the waveforms of ultrasonic emissionstimulated by the micro-cracks are recorded by a transient automaticwaveform recorder to determine the time location and intensity of theactions of micro-cracks. The experiment results are worth studying.This method provides a useful experimental approach to study thebrittleness materials.
基金supported by the National Natural Science Funds for Distinguished Young Scholars of China(61525504)the National Natural Science Foundation of China(11574065,11604322,61275115,61378003,61435011 and 61605194)+2 种基金China Postdoctoral Science Foundation(2016M590570)the Fundamental Research Funds for the Central Universities(11604322)the Key Programs of the Natural Science Foundation of Heilongjiang Province of China(ZD201415).
文摘Are quantum states real? This most fundamental question in quantum mechanics has not yet been satisfactorily resolved, although its realistic interpretation seems to have been rejected by various delayedchoice experiments. Here, to address this long-standing issue, we present a quantum twisted double-slit experiment. By exploiting the subluminal feature of twisted photons, the real nature of a photon during its time in flight is revealed for the first time. We found that photons' arrival times were inconsistent with the states obtained in measurements but agreed with the states during propagation. Our results demonstrate that wavefunctions describe the realistic existence and evolution of quantum entities rather than a pure mathematical abstraction providing a probability list of measurement outcomes. This finding clarifies the long-held misunderstanding of the role of wavefunctions and their collapse in the evolution of quantum entities.
基金supported by National Natural Science Foundation of China (Grant Nos. 11201285 and 11371238)the First-class Discipline of Universities in Shanghai
文摘We study the concept of module twistor for a module over an algebra. This concept provides a unifying framework for various deformed constructions of modules over algebras, such as module R-matrices,(n-factor iterated) twisted tensor products and L-R-twisted tensor products of algebras. Among the main results,we find the relations among these constructions. Furthermore, we study some properties of module twistors.
