The nonlinear finite element method is used to analyze the geometrical nonlinear stability of cable truss domes with different cable distributions. The results indicate that the critical load increases evidently when...The nonlinear finite element method is used to analyze the geometrical nonlinear stability of cable truss domes with different cable distributions. The results indicate that the critical load increases evidently when cables, especially diagonal cables, are distributed in the structure. The critical loads of the structure at different rise span ratios are also discussed in this paper. It was shown that the effect of the tensional cable is more evident at small rise span ratio. The buckling of the structure is characterized by a global collapse at small rise span ratio; that the torsional buckling of the radial truss occurs at big rise span ratio; and that at proper rise span ratio, the global collapse and the lateral buckling of the truss occur nearly simultaneously.展开更多
This paper computationally investigates the RhSin （n = 1 6） clusters by using a density functional approach. Geometry optimizations of the RhSin （n = 1 6） clusters are carried out at the B3LYP level employing LanL...This paper computationally investigates the RhSin （n = 1 6） clusters by using a density functional approach. Geometry optimizations of the RhSin （n = 1 6） clusters are carried out at the B3LYP level employing LanL2DZ basis sets. It presents and discusses the equilibrium geometries of the RhSin （n = 1-6） clusters as well as the corresponding averaged binding energies, fragmentation energies, natural populations, magnetic properties, and the energy gaps between the highest occupied molecular orbital and the lowest unoccupied molecular orbital. Theoretical results show that the most stable RhSin（n = 1-6） isomers keep an analogous framework of the corresponding Sin＋1 clusters, the RhSi3 is the most stable cluster in RhSin （n = 1-6） isomers. Furthermore, the charges of the lowest-energy RhSin （n = 1-6） clusters transfer mainly from Si atom to Rh atom. Meanwhile, the magnetic moments of the RhSin（n = 1-6） arises from the 4d orbits of Rh atom. Finally, compared with the Sin＋1 cluster, the chemical stability RhSin clusters are universally improved.展开更多
Insect populations,which are diverse and widespread,provide a principal area of utilization of the stage-structured modeling approach.In this paper,housefly populations incorporating a stage-structured model are inves...Insect populations,which are diverse and widespread,provide a principal area of utilization of the stage-structured modeling approach.In this paper,housefly populations incorporating a stage-structured model are investigated theoretically and graphically.First,stability charts and rightmost characteristic roots of the positive equilibrium are elucidated analytically and numerically.Furthermore,the Hopf bifurcation at the positive equilibrium is derived employing geometric stability switch criterion.Second,the properties of Hopf bifurcation are determined using the center manifold theorem and by reducing the equation to the Poincarénormal form.Finally,the correctness of the theoretical derivation is confirmed using a numerical simulation based on specific parameter values.Our results show that with an increase in delay T,the unique positive equilibrium may undergo two stability switches:from stable to unstable,and from unstable to stable.Interestingly,the characteristic equation has pure imaginary roots at the second pair and subsequent critical values,However,Hopf bifurcation theorem is not satisfied because all other characteristic roots of the characteristic equation at these critical values do not have strictly negative real parts,except the pure imaginary roots.We also simulate the unstable periodic solutions at the second pair of critical values through a bifurcation diagram.Therefore,a pair of supercritical Hopf bifurcations appear around the positive equilibrium of the housefly population stage-structured model.展开更多
Purpose The purpose of the study was to prepare and evaluate the performance of graphite/copper composites in accelerators.Methods A series of graphite/copper composites were prepared by powder metallurgy.Based on the...Purpose The purpose of the study was to prepare and evaluate the performance of graphite/copper composites in accelerators.Methods A series of graphite/copper composites were prepared by powder metallurgy.Based on the relative density,bending strength,thermal conductivity,linear expansion coefficient,steady-state stability normalized index(SSNI),and electrical conductivity,the ratio of graphite/copper in the composites was optimized.Results The type of graphite greatly influenced the properties of the resulting graphite/copper composites.Compared with flake graphite/copper,spherical graphite/copper had a higher bending strength,thermal conductivity coefficient,SSNI,and conductivity.Although the dopant did not react with graphite,it greatly impacted the properties of the graphite/copper composite.Increasing the graphite content after doping with Ti and Ni resulted in a higher thermal conductivity and SSNI compared with the undoped or mono-doped composites.The graphite content greatly influenced the thermal conductivity of the composite.When the graphite content did not exceed 40 vol%,the thermal conductivity of the graphite/copper composite changed only slightly with the temperature.When the graphite content exceeded 45 vol%,the thermal conductivity of the graphite/copper composite decreased with temperature.Conclusion Among the prepared graphite/copper composites,titanium/nickel/spherical graphite/copper with a spherical graphite content of 50 vol%had the largest SSNI,which was higher than that of copper.Under specific conditions,it may be used as a substitute for copper in collimators or beam dumps.Different graphite/copper composites showed different coefficients of linear expansion,with a reasonable allocation of graphite and dopants.These composites may be used as transition layers in the brazing connection of large graphite and copper-based materials.展开更多
Immobilization using little splint is an original innovation of Chinese people for the fracture fixation, which is simple to use and clinically effective. It was found that Chinese immobilization using little splint c...Immobilization using little splint is an original innovation of Chinese people for the fracture fixation, which is simple to use and clinically effective. It was found that Chinese immobilization using little splint can make the non-invasive,uncovering, and trouble free healing of bone fracture via harmonious unity of the structure stability and the force balance, of the motion stability and the stress adaptability, of the constant and discontinuous physiological stress. The biomechanical effect of Chinese immobilization using little splint, including entirety, dynamic, and functional fixity, is the root cause of its inheritance and the use up to now, and also is a direction of today's fracture fixation towards personalization, individuality and entirety.展开更多
Applying the discrete element method(DEM)in soil mechanics can provide abundant information at the particle-scale and facilitates illustration of the macro-mechanical behaviour of soils based on the inter-particle mec...Applying the discrete element method(DEM)in soil mechanics can provide abundant information at the particle-scale and facilitates illustration of the macro-mechanical behaviour of soils based on the inter-particle mechanisms.The triaxial test is one of the most common laboratory methods to study the macro-mechanical behaviour of particulate materials such as soil.However,many problems in geotechnical design can be assumed and simplified as a plane strain phenomenon.Therefore a biaxial test can be conducted to reproduce the macro-mechanical behaviour of soil,where the sample is enclosed by two horizontal rigid platens and a vertical latex membrane,which is a deformable continuous element and allows the enclosed specimen to deform freely while maintaining confining stress during loading.This paper presents an algorithm to represent physical and mechanical characteristics of latex membrane in the 2D DEM simulation of biaxial test using the PFC^(2D) code.To investigate the impact of the lateral boundary conditions on the micro-macro mechanical behaviours of soil samples,two sets of DEM biaxial tests are conducted,i.e.with rigid and deformable lateral boundary conditions.The DEM modeling results indicate that the lateral boundary conditions have a significant effect on the micro-scale fabric properties,thickness and inclination of the shear band.The comparison between these two simulations also demonstrates that the lateral boundary conditions play a major role in the peak and post-peak stress-strain behaviours as well as the dilation and critical state behaviours of granular soils.展开更多
文摘The nonlinear finite element method is used to analyze the geometrical nonlinear stability of cable truss domes with different cable distributions. The results indicate that the critical load increases evidently when cables, especially diagonal cables, are distributed in the structure. The critical loads of the structure at different rise span ratios are also discussed in this paper. It was shown that the effect of the tensional cable is more evident at small rise span ratio. The buckling of the structure is characterized by a global collapse at small rise span ratio; that the torsional buckling of the radial truss occurs at big rise span ratio; and that at proper rise span ratio, the global collapse and the lateral buckling of the truss occur nearly simultaneously.
基金Project supported by the National Natural Science Foundation of China (Grant No 10247007)the Natural Science Foundation of Shaanxi Province (Grant No 2002A09)the Special Item Foundation of Educational Committee of Shaanxi Province (Grant No 02JK050)
文摘This paper computationally investigates the RhSin （n = 1 6） clusters by using a density functional approach. Geometry optimizations of the RhSin （n = 1 6） clusters are carried out at the B3LYP level employing LanL2DZ basis sets. It presents and discusses the equilibrium geometries of the RhSin （n = 1-6） clusters as well as the corresponding averaged binding energies, fragmentation energies, natural populations, magnetic properties, and the energy gaps between the highest occupied molecular orbital and the lowest unoccupied molecular orbital. Theoretical results show that the most stable RhSin（n = 1-6） isomers keep an analogous framework of the corresponding Sin＋1 clusters, the RhSi3 is the most stable cluster in RhSin （n = 1-6） isomers. Furthermore, the charges of the lowest-energy RhSin （n = 1-6） clusters transfer mainly from Si atom to Rh atom. Meanwhile, the magnetic moments of the RhSin（n = 1-6） arises from the 4d orbits of Rh atom. Finally, compared with the Sin＋1 cluster, the chemical stability RhSin clusters are universally improved.
基金partially supported by the National Natural Science Foundation of China(Nos.12201271 and 12361101)the Tianyou Youth Talent Lift Program of Lanzhou Jiaotong University.
文摘Insect populations,which are diverse and widespread,provide a principal area of utilization of the stage-structured modeling approach.In this paper,housefly populations incorporating a stage-structured model are investigated theoretically and graphically.First,stability charts and rightmost characteristic roots of the positive equilibrium are elucidated analytically and numerically.Furthermore,the Hopf bifurcation at the positive equilibrium is derived employing geometric stability switch criterion.Second,the properties of Hopf bifurcation are determined using the center manifold theorem and by reducing the equation to the Poincarénormal form.Finally,the correctness of the theoretical derivation is confirmed using a numerical simulation based on specific parameter values.Our results show that with an increase in delay T,the unique positive equilibrium may undergo two stability switches:from stable to unstable,and from unstable to stable.Interestingly,the characteristic equation has pure imaginary roots at the second pair and subsequent critical values,However,Hopf bifurcation theorem is not satisfied because all other characteristic roots of the characteristic equation at these critical values do not have strictly negative real parts,except the pure imaginary roots.We also simulate the unstable periodic solutions at the second pair of critical values through a bifurcation diagram.Therefore,a pair of supercritical Hopf bifurcations appear around the positive equilibrium of the housefly population stage-structured model.
基金supported by the National Natural Science Foundation of China(grant Nos.12105296,and 12105308)the Guangdong Provincial Key Laboratory of Extreme Conditions(2023B1212010002).
文摘Purpose The purpose of the study was to prepare and evaluate the performance of graphite/copper composites in accelerators.Methods A series of graphite/copper composites were prepared by powder metallurgy.Based on the relative density,bending strength,thermal conductivity,linear expansion coefficient,steady-state stability normalized index(SSNI),and electrical conductivity,the ratio of graphite/copper in the composites was optimized.Results The type of graphite greatly influenced the properties of the resulting graphite/copper composites.Compared with flake graphite/copper,spherical graphite/copper had a higher bending strength,thermal conductivity coefficient,SSNI,and conductivity.Although the dopant did not react with graphite,it greatly impacted the properties of the graphite/copper composite.Increasing the graphite content after doping with Ti and Ni resulted in a higher thermal conductivity and SSNI compared with the undoped or mono-doped composites.The graphite content greatly influenced the thermal conductivity of the composite.When the graphite content did not exceed 40 vol%,the thermal conductivity of the graphite/copper composite changed only slightly with the temperature.When the graphite content exceeded 45 vol%,the thermal conductivity of the graphite/copper composite decreased with temperature.Conclusion Among the prepared graphite/copper composites,titanium/nickel/spherical graphite/copper with a spherical graphite content of 50 vol%had the largest SSNI,which was higher than that of copper.Under specific conditions,it may be used as a substitute for copper in collimators or beam dumps.Different graphite/copper composites showed different coefficients of linear expansion,with a reasonable allocation of graphite and dopants.These composites may be used as transition layers in the brazing connection of large graphite and copper-based materials.
基金The National Natural Science Foundation of Chinagrant number:30960518Inner Mongolia Major Program of Science and Technology Plan(2010-2012)
文摘Immobilization using little splint is an original innovation of Chinese people for the fracture fixation, which is simple to use and clinically effective. It was found that Chinese immobilization using little splint can make the non-invasive,uncovering, and trouble free healing of bone fracture via harmonious unity of the structure stability and the force balance, of the motion stability and the stress adaptability, of the constant and discontinuous physiological stress. The biomechanical effect of Chinese immobilization using little splint, including entirety, dynamic, and functional fixity, is the root cause of its inheritance and the use up to now, and also is a direction of today's fracture fixation towards personalization, individuality and entirety.
文摘Applying the discrete element method(DEM)in soil mechanics can provide abundant information at the particle-scale and facilitates illustration of the macro-mechanical behaviour of soils based on the inter-particle mechanisms.The triaxial test is one of the most common laboratory methods to study the macro-mechanical behaviour of particulate materials such as soil.However,many problems in geotechnical design can be assumed and simplified as a plane strain phenomenon.Therefore a biaxial test can be conducted to reproduce the macro-mechanical behaviour of soil,where the sample is enclosed by two horizontal rigid platens and a vertical latex membrane,which is a deformable continuous element and allows the enclosed specimen to deform freely while maintaining confining stress during loading.This paper presents an algorithm to represent physical and mechanical characteristics of latex membrane in the 2D DEM simulation of biaxial test using the PFC^(2D) code.To investigate the impact of the lateral boundary conditions on the micro-macro mechanical behaviours of soil samples,two sets of DEM biaxial tests are conducted,i.e.with rigid and deformable lateral boundary conditions.The DEM modeling results indicate that the lateral boundary conditions have a significant effect on the micro-scale fabric properties,thickness and inclination of the shear band.The comparison between these two simulations also demonstrates that the lateral boundary conditions play a major role in the peak and post-peak stress-strain behaviours as well as the dilation and critical state behaviours of granular soils.
