The fast multipole method (FMM) has been used to reduce the computing operations and mem- ory requirements in large numerical analysis problems. In this paper, the FMM based on Taylor expansions is combined with the...The fast multipole method (FMM) has been used to reduce the computing operations and mem- ory requirements in large numerical analysis problems. In this paper, the FMM based on Taylor expansions is combined with the boundary element method (BEM) for three-dimensional elastostatic problems to solve thin plate and shell structures. The fast multipole boundary element method (FM-BEM) requires O(N) opera- tions and memory for problems with N unknowns. The numerical results indicate that for the analysis of thin structures, the FM-BEM is much more efficient than the conventional BEM and the accuracy achieved is sufficient for engineering applications.展开更多
Uncertainty propagation, one of the structural engineering problems, is receiving increasing attention owing to the fact that most significant loads are random in nature and structural parameters are typically subject...Uncertainty propagation, one of the structural engineering problems, is receiving increasing attention owing to the fact that most significant loads are random in nature and structural parameters are typically subject to variation. In the study, the collocation interval analysis method based on the first class Chebyshev polynomial approximation is presented to investigate the least favorable responses and the most favorable responses of interval-parameter structures under random excitations. Compared with the interval analysis method based on the first order Taylor expansion, in which only information including the function value and derivative at midpoint is used, the collocation interval analysis method is a non-gradient algorithm using several collocation points which improve the precision of results owing to better approximation of a response function. The pseudo excitation method is introduced to the solving procedure to transform the random problem into a deterministic problem. To validate the procedure, we present numerical results concerning a building under seismic ground motion and aerofoil under continuous atmosphere turbulence to show the effectiveness of the collocation interval analysis method.展开更多
Quantitative thickness estimation below tuning thickness is a great challenge in seismic exploration. Most studies focus on the thin-beds whose top and bottom reflection coefficients are of equal magnitude and opposit...Quantitative thickness estimation below tuning thickness is a great challenge in seismic exploration. Most studies focus on the thin-beds whose top and bottom reflection coefficients are of equal magnitude and opposite polarity. There is no systematic research on the other thin-bed types. In this article, all of the thin-beds are classified into four types： thin-beds with equal magnitude and opposite polarity, thin-beds with unequal magnitude and opposite polarity, thin-beds with equal magnitude and identical polarity, and thin-beds with unequal magnitude and identical polarity. By analytical study, an equation describing the general relationship between seismic peak frequency and thin-bed thickness was derived which shows there is a Complex implicit non-linear relationship between them and which is difficult to use in practice. In order to solve this problem, we simplify the relationship by Taylor expansion and discuss the precision of the approximation formulae with different orders for the four types of thin-beds. Compared with the traditional amplitude method for thin-bed thickness calculation, the method we present has a higher precision and isn＇t influenced by the absolute value of top or bottom reflection coefficient, so it is convenient for use in practice.展开更多
By analyzing the structure of the objective function based on error sum of squares and the information provided by the objective function, the essential problems in the current parameter estimation methods are summari...By analyzing the structure of the objective function based on error sum of squares and the information provided by the objective function, the essential problems in the current parameter estimation methods are summarized: (1) the information extracted from the objective function based on error sum of squares is unreasonable or even wrong for parameter estimation; and (2) the surface of the objective function based on error sum of squares is more complex than that of the parameter function, which indicates that the optimal parameter values should be searched on the surface of the parameter function instead of the objective function. This paper proposes the concept of sample intersection and demonstrates the uniqueness theorem of intersection point (namely the uniqueness of optimal parameter values). According to the characteristics of parameter function surface and Taylor series expansion, a parameter estimation method based on the sample intersection information extracted from parameter function surface (PFS method) was constructed. The results of theoretical analysis and practical application show that the proposed PFS method can avoid the problems in the current automatic parameter calibration, and has fast convergence rate and good performance in parameter calibration.展开更多
Some polar coordinates are used to determine the domain and the ball of convergence of a multiple Taylor series. In this domain and in this ball the series converges, converges absolutely and converges uniformly on an...Some polar coordinates are used to determine the domain and the ball of convergence of a multiple Taylor series. In this domain and in this ball the series converges, converges absolutely and converges uniformly on any compact set properties of the series may also be studied. For some random multiple are some corresponding properties. Growth and other Taylor series there展开更多
We give a Schwarz-Pick estimate for bounded holomorphic functions on unit ball in Cn, and generalize some early work of Schwarz-Pick estimates for bounded holomorphic functions on unit disk in C.
The physical absorption of CO2 in water containing different types of particles was studied in a micro-channel operated under Taylor flow. The maximum enhancement factors of 1.43-2.15 were measured for activated carb...The physical absorption of CO2 in water containing different types of particles was studied in a micro-channel operated under Taylor flow. The maximum enhancement factors of 1.43-2.15 were measured for activated carbon （AcC） particles. The analysis shows that the enhancement effect can be attributed to the shuttle mechanism. Considering the separate contributions of mass transfer from bubble cap and liquid film, a heterogeneous enhance- ment model is developed. According to this model, the enhancement factors Ecap, EFilm and Eov are mainly determined by mass transfer coefficient gL （gL Cap and KL Film）, adsorptive capacity of particles m, and coverage fraction of particles at gas-liquid interface （. With both effects of particle-to-interface adhesion and apparent viscosity included, the model nredicts the enhancement effect of AcC varticles reasonably well.展开更多
The texture evolution of cold drawing copper wires produced by continuous casting was measured by X-ray diffractometry and electron back-scatter diffractometry,and was simulated using Taylor model.The results show tha...The texture evolution of cold drawing copper wires produced by continuous casting was measured by X-ray diffractometry and electron back-scatter diffractometry,and was simulated using Taylor model.The results show that in the drawn poly-crystal copper wires produced by traditional continuous casting,111 and 100 duplex fiber texture forms,and with increasing strain,the intensities of 111 and 100 increase.In the drawn single-crystal copper wires produced by Ohno continuous casting,100 rotates to 111,and there is inhomogeneous distribution of fiber texture along radial direction of the wires,which is caused by the distribution of shear deformation.Compared with 100,111 fiber texture is more stable in the drawn copper wires.Comparison of the experimental results with the simulated results shows that the simulation by Taylor model can analyze the texture evolution of drawn copper wires.展开更多
The characterization of sinusoidal signals with time varying amplitude and phase is useful and applicable for many fields.Therefore several algorithms have been suggested to estimate main aspects of these signals.With...The characterization of sinusoidal signals with time varying amplitude and phase is useful and applicable for many fields.Therefore several algorithms have been suggested to estimate main aspects of these signals.Within no standard approach to test the properties of these algorithms,it seems to be helpful to discuss a large class of algorithms according to their properties.In this paper,six methods of estimating dynamic phasor have been reviewed and discussed which three of them are based on least square and others are based on Kalman filter.Taylor expansion is used as a first step and continued with least square or Kalman filter in accordance with the proposal observer of each method.The theoretical processes of these methods are briefly clarified.The characterizations have been made by some tests in time and frequency domains.The tests include amplitude step,phase step,frequency step,frequency response,total vector error,transient monitor,noise,sample number,computation time,harmonic and DC offset which build a framework to compare the different methods.展开更多
Turbo decoding is iterative decoding, and the MAP algorithm isoptimal in terms of performance in Turbo decoding. The log-MAPalgorithms is the MAP executed in the logarithmic domain, so it isalso optimal. Both the MAP ...Turbo decoding is iterative decoding, and the MAP algorithm isoptimal in terms of performance in Turbo decoding. The log-MAPalgorithms is the MAP executed in the logarithmic domain, so it isalso optimal. Both the MAP and the log-MAP algorithm are complicatedfor implementation. The max-log MAP algorithm is de- Rived from thelog-MAP with approximation, which is simply compared with the log-MAPalgorithm but is subopti- Malin terms of performance. A modifiedmax-log-MAP algorithm is presented in this paper, based on the TaylorSeries of logarithm and exponent. Analysis and simulation resultsshow that modified max-log-MAP algorithm Outperforms the max-log-MAPalgorithm with almost the same complexity.展开更多
Four-wheel independent steering(4 WIS) system and direct yaw moment control(DYC) have an important influence on vehicle lateral stability. However, DYC has a great effect on the longitudinal velocity, and the capabili...Four-wheel independent steering(4 WIS) system and direct yaw moment control(DYC) have an important influence on vehicle lateral stability. However, DYC has a great effect on the longitudinal velocity, and the capability of 4 WIS is limited to stability.To decrease the influence on the longitudinal velocity and improve the stability of electrical vehicles, a chassis controller integrated with a 4 WIS system and a DYC system with model predictive control(MPC) is designed. The framework consists of an unscented Kalman filter(UKF) observer and an MPC that contains three blocks: supervisor blocks, upper blocks and lower blocks. First, the sideslip angle, longitudinal velocity and lateral tire forces are estimated by the UKF observer;second, a bicycle model is utilized in the supervisor to calculate the desired values;third, the upper blocks are designed with the MPC to optimize the target steering angles and longitudinal tire forces under the constraints of subsystems;to facilitate the design of the MPC, a nonlinear tire is simplified based on the Taylor expansion method;finally, the target steering angles and longitudinal tire forces are achieved by the lower blocks. The integrated controller is simulated on the co-simulation platform of MATLAB-Carsim. The results show that the proposed integrated controller has less impact on longitudinal velocity and could effectively improve vehicle stability.展开更多
适用于地幔岩石的矿物压力计有石榴石-斜方辉石压力计、石榴石-单斜辉石压力计、橄榄石-单斜辉石压力计、铬尖晶石压力计、二辉石压力计等有限几类。本文通过将这些压力计应用于岩石学相平衡实验数据,检验了其精确度。再将它们应用到天...适用于地幔岩石的矿物压力计有石榴石-斜方辉石压力计、石榴石-单斜辉石压力计、橄榄石-单斜辉石压力计、铬尖晶石压力计、二辉石压力计等有限几类。本文通过将这些压力计应用于岩石学相平衡实验数据,检验了其精确度。再将它们应用到天然地幔岩石样品,包括石榴石相二辉橄榄岩、尖晶石相二辉橄榄岩、石榴石-尖晶石过渡相二辉橄榄岩、含金刚石和石墨的地幔岩石,检验了其准确度。初步结论是,现有的石榴石-斜方辉石压力计(Nickel and Green,1985;Taylor,1998;Breyet al.,2008)质量相对最优,石榴石-单斜辉石压力计(Nimis and Taylor,2000;Simakov and Taylor,2000)次之。在应用这些压力计时,可配合二辉石温度计(Brey et al.,1990;Taylor,1998)或石榴石-橄榄石温度计(Wu and Zhao,2007),来同时估算平衡压力和温度。其余的压力计精确度和准确度都还很不够,需要更精确深入的实验研究来标定质量优良的压力计。展开更多
The slug length and the trailing Taylor bubble velocity in an upward vertical slug flow were measured by using the optical probes and the EKTAPRO 1000 high speed motion analyzer. The correlation between the trailing b...The slug length and the trailing Taylor bubble velocity in an upward vertical slug flow were measured by using the optical probes and the EKTAPRO 1000 high speed motion analyzer. The correlation between the trailing bubble velocity and the length of liquid slug ahead of that bubble is derived from the experimental data. Based on this correlation as well as the bubble overtaking mechanism, a model for the slug length distribution at any designated locations along the pipe is proposed. The predicted results are in agreement with the experimental data.展开更多
基金Supported by the National Natural Science Foundation of China (No. 10172053)
文摘The fast multipole method (FMM) has been used to reduce the computing operations and mem- ory requirements in large numerical analysis problems. In this paper, the FMM based on Taylor expansions is combined with the boundary element method (BEM) for three-dimensional elastostatic problems to solve thin plate and shell structures. The fast multipole boundary element method (FM-BEM) requires O(N) opera- tions and memory for problems with N unknowns. The numerical results indicate that for the analysis of thin structures, the FM-BEM is much more efficient than the conventional BEM and the accuracy achieved is sufficient for engineering applications.
基金supported by the National Natural Science Foundation of China (Grant Nos. 10872017, 90816024 and 10876100)111 Project (Grant No. B07009)
文摘Uncertainty propagation, one of the structural engineering problems, is receiving increasing attention owing to the fact that most significant loads are random in nature and structural parameters are typically subject to variation. In the study, the collocation interval analysis method based on the first class Chebyshev polynomial approximation is presented to investigate the least favorable responses and the most favorable responses of interval-parameter structures under random excitations. Compared with the interval analysis method based on the first order Taylor expansion, in which only information including the function value and derivative at midpoint is used, the collocation interval analysis method is a non-gradient algorithm using several collocation points which improve the precision of results owing to better approximation of a response function. The pseudo excitation method is introduced to the solving procedure to transform the random problem into a deterministic problem. To validate the procedure, we present numerical results concerning a building under seismic ground motion and aerofoil under continuous atmosphere turbulence to show the effectiveness of the collocation interval analysis method.
基金supported by National Key S&T Special Projects of Marine Carbonate 2008ZX05000-004CNPC Projects 2008E-0610-10
文摘Quantitative thickness estimation below tuning thickness is a great challenge in seismic exploration. Most studies focus on the thin-beds whose top and bottom reflection coefficients are of equal magnitude and opposite polarity. There is no systematic research on the other thin-bed types. In this article, all of the thin-beds are classified into four types： thin-beds with equal magnitude and opposite polarity, thin-beds with unequal magnitude and opposite polarity, thin-beds with equal magnitude and identical polarity, and thin-beds with unequal magnitude and identical polarity. By analytical study, an equation describing the general relationship between seismic peak frequency and thin-bed thickness was derived which shows there is a Complex implicit non-linear relationship between them and which is difficult to use in practice. In order to solve this problem, we simplify the relationship by Taylor expansion and discuss the precision of the approximation formulae with different orders for the four types of thin-beds. Compared with the traditional amplitude method for thin-bed thickness calculation, the method we present has a higher precision and isn＇t influenced by the absolute value of top or bottom reflection coefficient, so it is convenient for use in practice.
基金supported by the National Natural Science Foundation of China (Grant No. 51279057)the Major Program of National Natural Science Foundation of China (Grant Nos. 51190090 and 51190091)+1 种基金the Ph.D. Programs Foundation of Ministry of Education of China (Grant No.20120094120018)the Fundamental Research Funds for the Central Universities of China (Grant No. 2012B00214)
文摘By analyzing the structure of the objective function based on error sum of squares and the information provided by the objective function, the essential problems in the current parameter estimation methods are summarized: (1) the information extracted from the objective function based on error sum of squares is unreasonable or even wrong for parameter estimation; and (2) the surface of the objective function based on error sum of squares is more complex than that of the parameter function, which indicates that the optimal parameter values should be searched on the surface of the parameter function instead of the objective function. This paper proposes the concept of sample intersection and demonstrates the uniqueness theorem of intersection point (namely the uniqueness of optimal parameter values). According to the characteristics of parameter function surface and Taylor series expansion, a parameter estimation method based on the sample intersection information extracted from parameter function surface (PFS method) was constructed. The results of theoretical analysis and practical application show that the proposed PFS method can avoid the problems in the current automatic parameter calibration, and has fast convergence rate and good performance in parameter calibration.
文摘Some polar coordinates are used to determine the domain and the ball of convergence of a multiple Taylor series. In this domain and in this ball the series converges, converges absolutely and converges uniformly on any compact set properties of the series may also be studied. For some random multiple are some corresponding properties. Growth and other Taylor series there
基金Supported by National Natural Science Foundation of China (Grant Nos. 10871145, 10926066)Doctoral Program Foundation of Ministry of Education of China (Grant No. 20090072110053)
文摘We give a Schwarz-Pick estimate for bounded holomorphic functions on unit ball in Cn, and generalize some early work of Schwarz-Pick estimates for bounded holomorphic functions on unit disk in C.
基金Supported by the National＇Natural Science Foundation of China （20706041, 20876109）, and the Natural Science Foundation of Tianjin, China （09JCYBJC06500）.
文摘The physical absorption of CO2 in water containing different types of particles was studied in a micro-channel operated under Taylor flow. The maximum enhancement factors of 1.43-2.15 were measured for activated carbon （AcC） particles. The analysis shows that the enhancement effect can be attributed to the shuttle mechanism. Considering the separate contributions of mass transfer from bubble cap and liquid film, a heterogeneous enhance- ment model is developed. According to this model, the enhancement factors Ecap, EFilm and Eov are mainly determined by mass transfer coefficient gL （gL Cap and KL Film）, adsorptive capacity of particles m, and coverage fraction of particles at gas-liquid interface （. With both effects of particle-to-interface adhesion and apparent viscosity included, the model nredicts the enhancement effect of AcC varticles reasonably well.
基金Projects(50771076,50901055)supported by the National Natural Science Foundation of ChinaProject(07JK274)supported by the Education Department Foundation of Shaanxi Province,China
文摘The texture evolution of cold drawing copper wires produced by continuous casting was measured by X-ray diffractometry and electron back-scatter diffractometry,and was simulated using Taylor model.The results show that in the drawn poly-crystal copper wires produced by traditional continuous casting,111 and 100 duplex fiber texture forms,and with increasing strain,the intensities of 111 and 100 increase.In the drawn single-crystal copper wires produced by Ohno continuous casting,100 rotates to 111,and there is inhomogeneous distribution of fiber texture along radial direction of the wires,which is caused by the distribution of shear deformation.Compared with 100,111 fiber texture is more stable in the drawn copper wires.Comparison of the experimental results with the simulated results shows that the simulation by Taylor model can analyze the texture evolution of drawn copper wires.
文摘The characterization of sinusoidal signals with time varying amplitude and phase is useful and applicable for many fields.Therefore several algorithms have been suggested to estimate main aspects of these signals.Within no standard approach to test the properties of these algorithms,it seems to be helpful to discuss a large class of algorithms according to their properties.In this paper,six methods of estimating dynamic phasor have been reviewed and discussed which three of them are based on least square and others are based on Kalman filter.Taylor expansion is used as a first step and continued with least square or Kalman filter in accordance with the proposal observer of each method.The theoretical processes of these methods are briefly clarified.The characterizations have been made by some tests in time and frequency domains.The tests include amplitude step,phase step,frequency step,frequency response,total vector error,transient monitor,noise,sample number,computation time,harmonic and DC offset which build a framework to compare the different methods.
文摘Turbo decoding is iterative decoding, and the MAP algorithm isoptimal in terms of performance in Turbo decoding. The log-MAPalgorithms is the MAP executed in the logarithmic domain, so it isalso optimal. Both the MAP and the log-MAP algorithm are complicatedfor implementation. The max-log MAP algorithm is de- Rived from thelog-MAP with approximation, which is simply compared with the log-MAPalgorithm but is subopti- Malin terms of performance. A modifiedmax-log-MAP algorithm is presented in this paper, based on the TaylorSeries of logarithm and exponent. Analysis and simulation resultsshow that modified max-log-MAP algorithm Outperforms the max-log-MAPalgorithm with almost the same complexity.
基金supported by the Natural Science Foundation Project of Chongqing(Grant No.cstc2018jcyjAX0077)the Open Fund of Key Laboratory of Advanced Manufacturing Technology for Automobile Parts,Ministry of Education(Grant No.2018KLMT06)the Graduate Research and Innovation Foundation of Chongqing,China(Grant No.CYB18059)
文摘Four-wheel independent steering(4 WIS) system and direct yaw moment control(DYC) have an important influence on vehicle lateral stability. However, DYC has a great effect on the longitudinal velocity, and the capability of 4 WIS is limited to stability.To decrease the influence on the longitudinal velocity and improve the stability of electrical vehicles, a chassis controller integrated with a 4 WIS system and a DYC system with model predictive control(MPC) is designed. The framework consists of an unscented Kalman filter(UKF) observer and an MPC that contains three blocks: supervisor blocks, upper blocks and lower blocks. First, the sideslip angle, longitudinal velocity and lateral tire forces are estimated by the UKF observer;second, a bicycle model is utilized in the supervisor to calculate the desired values;third, the upper blocks are designed with the MPC to optimize the target steering angles and longitudinal tire forces under the constraints of subsystems;to facilitate the design of the MPC, a nonlinear tire is simplified based on the Taylor expansion method;finally, the target steering angles and longitudinal tire forces are achieved by the lower blocks. The integrated controller is simulated on the co-simulation platform of MATLAB-Carsim. The results show that the proposed integrated controller has less impact on longitudinal velocity and could effectively improve vehicle stability.
文摘适用于地幔岩石的矿物压力计有石榴石-斜方辉石压力计、石榴石-单斜辉石压力计、橄榄石-单斜辉石压力计、铬尖晶石压力计、二辉石压力计等有限几类。本文通过将这些压力计应用于岩石学相平衡实验数据,检验了其精确度。再将它们应用到天然地幔岩石样品,包括石榴石相二辉橄榄岩、尖晶石相二辉橄榄岩、石榴石-尖晶石过渡相二辉橄榄岩、含金刚石和石墨的地幔岩石,检验了其准确度。初步结论是,现有的石榴石-斜方辉石压力计(Nickel and Green,1985;Taylor,1998;Breyet al.,2008)质量相对最优,石榴石-单斜辉石压力计(Nimis and Taylor,2000;Simakov and Taylor,2000)次之。在应用这些压力计时,可配合二辉石温度计(Brey et al.,1990;Taylor,1998)或石榴石-橄榄石温度计(Wu and Zhao,2007),来同时估算平衡压力和温度。其余的压力计精确度和准确度都还很不够,需要更精确深入的实验研究来标定质量优良的压力计。
基金supported by the National Natural Science Foundation of China (Grant No. 50876003)the Science and Technology Development Project of Beijing Education Committee (Grant No. KZ200710005001)the Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (Grant No. PHR200906104)
文摘The slug length and the trailing Taylor bubble velocity in an upward vertical slug flow were measured by using the optical probes and the EKTAPRO 1000 high speed motion analyzer. The correlation between the trailing bubble velocity and the length of liquid slug ahead of that bubble is derived from the experimental data. Based on this correlation as well as the bubble overtaking mechanism, a model for the slug length distribution at any designated locations along the pipe is proposed. The predicted results are in agreement with the experimental data.
