Due to the importance of vibration effects on the functional accuracy of mechanical systems,this research aims to develop a precise model of a nonlinearly vibrating single-link mobile flexible manipulator.The manipula...Due to the importance of vibration effects on the functional accuracy of mechanical systems,this research aims to develop a precise model of a nonlinearly vibrating single-link mobile flexible manipulator.The manipulator consists of an elastic arm,a rotary motor,and a rigid carrier,and undergoes general in-plane rigid body motion along with elastic transverse deformation.To accurately model the elastic behavior,Timoshenko’s beam theory is used to describe the flexible arm,which accounts for rotary inertia and shear deformation effects.By applying Newton’s second law,the nonlinear governing equations of motion for the manipulator are derived as a coupled system of ordinary differential equations(ODEs)and partial differential equations(PDEs).Then,the assumed mode method(AMM)is used to solve this nonlinear system of governing equations with appropriate shape functions.The assumed modes can be obtained after solving the characteristic equation of a Timoshenko beam with clamped boundary conditions at one end and an attached mass/inertia at the other.In addition,the effect of the transverse vibration of the inextensible arm on its axial behavior is investigated.Despite the axial rigidity,the effect makes the rigid body dynamics invalid for the axial behavior of the arm.Finally,numerical simulations are conducted to evaluate the performance of the developed model,and the results are compared with those obtained by the finite element approach.The comparison confirms the validity of the proposed dynamic model for the system.According to the mentioned features,this model can be reliable for investigating the system’s vibrational behavior and implementing vibration control algorithms.展开更多
Recent advancements in decentralized finance(DeFi)have resulted in a rapid increase in the use of Automated Market Makers(AMMs)for creating decentralized exchanges(DEXs).In this paper,we organize these developments by...Recent advancements in decentralized finance(DeFi)have resulted in a rapid increase in the use of Automated Market Makers(AMMs)for creating decentralized exchanges(DEXs).In this paper,we organize these developments by treating an AMM as a neoclassical black-box characterized by the conversion of inputs(tokens)to outputs(prices).The conversion is governed by the technology of the AMM summarized by an‘exchange function’.Various types of AMMs are examined,including:Constant Product Market Makers;Constant Mean Market Makers;Constant Sum Market Makers;Hybrid Function Market Makers;and,Dynamic Automated Market Makers.The paper also looks at the impact of introducing concentrated liquidity in an AMM.Overall,the framework presented here provides an intuitive geometric representation of how an AMM operates,and a clear delineation of the similarities and differences across the various types of AMMs.展开更多
Tlie rigid-flexible coupling dynamic modeling theory and the discretization methods of a rotating flexible rectangular thin plate are investigated in this paper.Based on the continuum mechanics,the rigid-flexible coup...Tlie rigid-flexible coupling dynamic modeling theory and the discretization methods of a rotating flexible rectangular thin plate are investigated in this paper.Based on the continuum mechanics,the rigid-flexible coupling dynamic model is established for the flexible rectangular thin plate undergoing large overall rotation,and the coupling term of the deformation which is caused by transverse deformation is considered.Assumed mode method(AMM),spline finite point method(SFPM)and Beizer finite point method(BFPM)are used to describe the deformation of the flexible rectangular plate,and then the dynamic equations of a rotating flexible rectangular thin plate undergoing overall motion are derived by Lagrange^equation of the second kind.The dynamics of a cantilever plate undergoing large overall rotation is simulated via using different dynamic models,and the simulation results of the first order approximation model are compared with those of the traditional zero-order approximation model.It is shown that the first order approximation model with the dynamic stiffening terms can correctly describe the dynamic behavior of the system undergoing large overall rotation,while the zero-order approximation model cannot get the correct results.And AMM.SFPM.BFPM can well describe the deformation of a rotating flexible rectangular plate.展开更多
XPS and chemical trapping experments with H2, NH3, and CH3I as trapping agents were carried out for studying the adsorption of propylene over MoO3 or r-Bi2MoO6. The results show that the fragmentation of carbon chain ...XPS and chemical trapping experments with H2, NH3, and CH3I as trapping agents were carried out for studying the adsorption of propylene over MoO3 or r-Bi2MoO6. The results show that the fragmentation of carbon chain takes place during the adsorption of propylene through breaking C -C double bond and C-C bond on Mo2+ and the adjacent lattice oxygen, leading to formation of the oxygen- or nitrogen-containing by-products of C1 and C2 species. Diffuse-Reflection Fourier Transform Infrared (DRFTIR) Spectroscopy was used to study the surface species formed during the chemisorption and reaction of propylene over y-Bi2MoO6 at a lower temperature. The results that C1, C2 adspecies were detected by DRFTIR at 175℃ are consistent with the results of XPS and chemical trapping experiments, whlle the results at 50℃ Grasselli et al.展开更多
文摘Due to the importance of vibration effects on the functional accuracy of mechanical systems,this research aims to develop a precise model of a nonlinearly vibrating single-link mobile flexible manipulator.The manipulator consists of an elastic arm,a rotary motor,and a rigid carrier,and undergoes general in-plane rigid body motion along with elastic transverse deformation.To accurately model the elastic behavior,Timoshenko’s beam theory is used to describe the flexible arm,which accounts for rotary inertia and shear deformation effects.By applying Newton’s second law,the nonlinear governing equations of motion for the manipulator are derived as a coupled system of ordinary differential equations(ODEs)and partial differential equations(PDEs).Then,the assumed mode method(AMM)is used to solve this nonlinear system of governing equations with appropriate shape functions.The assumed modes can be obtained after solving the characteristic equation of a Timoshenko beam with clamped boundary conditions at one end and an attached mass/inertia at the other.In addition,the effect of the transverse vibration of the inextensible arm on its axial behavior is investigated.Despite the axial rigidity,the effect makes the rigid body dynamics invalid for the axial behavior of the arm.Finally,numerical simulations are conducted to evaluate the performance of the developed model,and the results are compared with those obtained by the finite element approach.The comparison confirms the validity of the proposed dynamic model for the system.According to the mentioned features,this model can be reliable for investigating the system’s vibrational behavior and implementing vibration control algorithms.
文摘Recent advancements in decentralized finance(DeFi)have resulted in a rapid increase in the use of Automated Market Makers(AMMs)for creating decentralized exchanges(DEXs).In this paper,we organize these developments by treating an AMM as a neoclassical black-box characterized by the conversion of inputs(tokens)to outputs(prices).The conversion is governed by the technology of the AMM summarized by an‘exchange function’.Various types of AMMs are examined,including:Constant Product Market Makers;Constant Mean Market Makers;Constant Sum Market Makers;Hybrid Function Market Makers;and,Dynamic Automated Market Makers.The paper also looks at the impact of introducing concentrated liquidity in an AMM.Overall,the framework presented here provides an intuitive geometric representation of how an AMM operates,and a clear delineation of the similarities and differences across the various types of AMMs.
基金the National Natural Science Foundation of China(Nos.11502098 and 11772158)the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province(No.15KJB130003)+1 种基金the Doctoral Scientific Research Foundation of Jiangsu University of Science and Technology(No.120140003)the Fundamental Research Funds for Central Universities of China(No.30917011103)。
文摘Tlie rigid-flexible coupling dynamic modeling theory and the discretization methods of a rotating flexible rectangular thin plate are investigated in this paper.Based on the continuum mechanics,the rigid-flexible coupling dynamic model is established for the flexible rectangular thin plate undergoing large overall rotation,and the coupling term of the deformation which is caused by transverse deformation is considered.Assumed mode method(AMM),spline finite point method(SFPM)and Beizer finite point method(BFPM)are used to describe the deformation of the flexible rectangular plate,and then the dynamic equations of a rotating flexible rectangular thin plate undergoing overall motion are derived by Lagrange^equation of the second kind.The dynamics of a cantilever plate undergoing large overall rotation is simulated via using different dynamic models,and the simulation results of the first order approximation model are compared with those of the traditional zero-order approximation model.It is shown that the first order approximation model with the dynamic stiffening terms can correctly describe the dynamic behavior of the system undergoing large overall rotation,while the zero-order approximation model cannot get the correct results.And AMM.SFPM.BFPM can well describe the deformation of a rotating flexible rectangular plate.
基金Supported by the National Natural Science Fundation of China.
文摘XPS and chemical trapping experments with H2, NH3, and CH3I as trapping agents were carried out for studying the adsorption of propylene over MoO3 or r-Bi2MoO6. The results show that the fragmentation of carbon chain takes place during the adsorption of propylene through breaking C -C double bond and C-C bond on Mo2+ and the adjacent lattice oxygen, leading to formation of the oxygen- or nitrogen-containing by-products of C1 and C2 species. Diffuse-Reflection Fourier Transform Infrared (DRFTIR) Spectroscopy was used to study the surface species formed during the chemisorption and reaction of propylene over y-Bi2MoO6 at a lower temperature. The results that C1, C2 adspecies were detected by DRFTIR at 175℃ are consistent with the results of XPS and chemical trapping experiments, whlle the results at 50℃ Grasselli et al.
