The governing equations of the free vibrations of spherical and cylindrical shellswith a regular singularity. are solved by Frobenius Series Method in the form ofmatrix. Considering the relationship of the roots of th...The governing equations of the free vibrations of spherical and cylindrical shellswith a regular singularity. are solved by Frobenius Series Method in the form ofmatrix. Considering the relationship of the roots of the indicial equation, we get somevarious expressions of solutions according to different cases. This work lays afoundation of solving certain elastic problems by analytical method.展开更多
In this paper we consider that the momentum of a free particle motion withhigh-level speed presenting nonlinear effects may be expanded by using Laurent seriesand then obtain the complete expression of nonlinear and u...In this paper we consider that the momentum of a free particle motion withhigh-level speed presenting nonlinear effects may be expanded by using Laurent seriesand then obtain the complete expression of nonlinear and unsteady momentum. These nonlinear and unsieady phenoniena of high-level speed may further expand to the theory of kinematics and it may be determined by Fredholm's integral equation of the first kind. In addition, according to the nonlinear and unsteady momentum obtained the relations of the nonlinear mechanics equations .work and energy, mass and energymay be derived.Finaly .this paper also calculates those experimental results which done in particle physics for mu-mesons u±and fast neutrons n, these results are in agreement with data perfectly.展开更多
Crystalline materials with well-defined structures and ordered molecular arrays can provide a new research platform to fabricate new smart materials with excellent stimulus response properties.Among them,Luminescent M...Crystalline materials with well-defined structures and ordered molecular arrays can provide a new research platform to fabricate new smart materials with excellent stimulus response properties.Among them,Luminescent Metal-Organic Frameworks(LMOFs)and Hydrogen-bonding Organic Frameworks(HOFs)show great promise for fluorescence detection to different pollutants.In order to further extend the smart sensing frameworks and enhance the relevant sensing performance,the present work specifically selects 4,4',4",4(")-([6,6'-biquinoxaline]-2,2',3,3'-tetrayl)tetrabenzoic acid(H4L)consisting of the bisquinoxaline functional group as an optical response group,and HOF(HUST-25,HUST=Huazhong University of Science and Technology),Zn-MOF(HUST-26),and Cd-MOF(HUST-27)were successfully obtained.HOF could achieve the fluorescence recognition of Fe^(3+),MnO_(4)^(-),Cr_(2)O_(7)^(2-),p-nitrotoluene(4-NP),2,4,6-trinitrotoluene(TNP)and metronidazole(MDZ).The detection range of Zn-MOF constructed using Zn ions was similar to that of HOF,but the detection sensitivity of metal cations was significantly improved.Although Cd-MOF formed a six-fold interpenetrating structure,it was still able to retain a large pore structure.The dense stacking structure increases the quinoxaline density,which effectively expanded the sensitivity and detection range of fluorescence sensing.Therefore,Cd-MOF showed better detection for nitro explosives,antibiotics,and organic small molecules with ketone groups.For example,compared to the previous literatures,Cd-MOF has a larger Ksv value for the nitro-explosive nitrobenzene(NB),indicating the very high detection sensitivity.The series frameworks can present excellent sensing properties mainly because the func-tional primitives can be uniformly distributed in the skeleton of the crystalline materials,forming an ordered molecular array that enables the efficient energy transfer between the external stimulus signal and the response function sites.The related results indicate that the introduction of bisquinoxaline groups with a large degree of conjugation and excellent optical properties into the frameworks can be one of the effective strategies to construct highly sensitive and universal fluorescence sensing crystalline materials.展开更多
文摘The governing equations of the free vibrations of spherical and cylindrical shellswith a regular singularity. are solved by Frobenius Series Method in the form ofmatrix. Considering the relationship of the roots of the indicial equation, we get somevarious expressions of solutions according to different cases. This work lays afoundation of solving certain elastic problems by analytical method.
文摘In this paper we consider that the momentum of a free particle motion withhigh-level speed presenting nonlinear effects may be expanded by using Laurent seriesand then obtain the complete expression of nonlinear and unsteady momentum. These nonlinear and unsieady phenoniena of high-level speed may further expand to the theory of kinematics and it may be determined by Fredholm's integral equation of the first kind. In addition, according to the nonlinear and unsteady momentum obtained the relations of the nonlinear mechanics equations .work and energy, mass and energymay be derived.Finaly .this paper also calculates those experimental results which done in particle physics for mu-mesons u±and fast neutrons n, these results are in agreement with data perfectly.
基金the National Natural Science Foundation of China(No.92161123,21971078)the Frontier Project of Application Foundation of Wuhan Science and Technology Bureau of China(No.2020010601012201).
文摘Crystalline materials with well-defined structures and ordered molecular arrays can provide a new research platform to fabricate new smart materials with excellent stimulus response properties.Among them,Luminescent Metal-Organic Frameworks(LMOFs)and Hydrogen-bonding Organic Frameworks(HOFs)show great promise for fluorescence detection to different pollutants.In order to further extend the smart sensing frameworks and enhance the relevant sensing performance,the present work specifically selects 4,4',4",4(")-([6,6'-biquinoxaline]-2,2',3,3'-tetrayl)tetrabenzoic acid(H4L)consisting of the bisquinoxaline functional group as an optical response group,and HOF(HUST-25,HUST=Huazhong University of Science and Technology),Zn-MOF(HUST-26),and Cd-MOF(HUST-27)were successfully obtained.HOF could achieve the fluorescence recognition of Fe^(3+),MnO_(4)^(-),Cr_(2)O_(7)^(2-),p-nitrotoluene(4-NP),2,4,6-trinitrotoluene(TNP)and metronidazole(MDZ).The detection range of Zn-MOF constructed using Zn ions was similar to that of HOF,but the detection sensitivity of metal cations was significantly improved.Although Cd-MOF formed a six-fold interpenetrating structure,it was still able to retain a large pore structure.The dense stacking structure increases the quinoxaline density,which effectively expanded the sensitivity and detection range of fluorescence sensing.Therefore,Cd-MOF showed better detection for nitro explosives,antibiotics,and organic small molecules with ketone groups.For example,compared to the previous literatures,Cd-MOF has a larger Ksv value for the nitro-explosive nitrobenzene(NB),indicating the very high detection sensitivity.The series frameworks can present excellent sensing properties mainly because the func-tional primitives can be uniformly distributed in the skeleton of the crystalline materials,forming an ordered molecular array that enables the efficient energy transfer between the external stimulus signal and the response function sites.The related results indicate that the introduction of bisquinoxaline groups with a large degree of conjugation and excellent optical properties into the frameworks can be one of the effective strategies to construct highly sensitive and universal fluorescence sensing crystalline materials.
