A new algorithm called homotopy iteration method based on the homotopy function is studied and improved. By the improved homotopy iteration method, Polynomial systems with high Order and deficient can be solved fast a...A new algorithm called homotopy iteration method based on the homotopy function is studied and improved. By the improved homotopy iteration method, Polynomial systems with high Order and deficient can be solved fast and efficiently comparing to the original homotopy iteration method. Numerical examples for the ninepoint path synthesis of four-bar linkages show the advantages and efficiency of the improved homotopy iteration method.展开更多
For a spherical four-bar linkage,the maximum number of the spherical RR dyad（R：revolute joint）of five-orientation motion generation can be at most 6.However,complete real solution of this problem has seldom been st...For a spherical four-bar linkage,the maximum number of the spherical RR dyad（R：revolute joint）of five-orientation motion generation can be at most 6.However,complete real solution of this problem has seldom been studied.In order to obtain six real RR dyads,based on Strum＇s theorem,the relationships between the design parameters are derived from a 6th-degree univariate polynomial equation that is deduced from the constraint equations of the spherical RR dyad by using Dixon resultant method.Moreover,the Grashof condition and the circuit defect condition are taken into account.Given the relationships between the design parameters and the aforementioned two conditions,two objective functions are constructed and optimized by the adaptive genetic algorithm（AGA）.Two examples with six real spherical RR dyads are obtained by optimization,and the results verify the feasibility of the proposed method.The paper provides a method to synthesize the complete real solution of the five-orientation motion generation,which is also applicable to the problem that deduces to a univariate polynomial equation and requires the generation of as many as real roots.展开更多
By utilizing a 3-D atmospheric circulation resolving method, the authors studied the air-sea interactive linkages between the tropical Indian Ocean and the Pacific Ocean in 1979-2008 El Nio-Southern Oscillation (ENSO)...By utilizing a 3-D atmospheric circulation resolving method, the authors studied the air-sea interactive linkages between the tropical Indian Ocean and the Pacific Ocean in 1979-2008 El Nio-Southern Oscillation (ENSO) events. Their findings showed that evident 3-D gear-coupling characteristics existed in the 1979-2008 ENSO events. Their resolving analyses also suggested that the general circulation showed stronger and wider sinking motions over the eastern Indian Ocean-western Pacific during the mature phase of 1979-2008 ENSO events, compared with the vertical velocities from the U.S. National Centers for Enviornmental Prediction (NCEP) reanalysis data. With their 3-D analysis method, the vertical velocity was resolved by two components, i.e. zonal and meridional components. It was found that the zonal component of the vertical velocities showed a strong sinking motion while the meridional components showed an upward motion during the prevailing phases of the ENSO events. In the tropics, the zonal component of the vertical velocities was found greater than the meridional component, reflecting the dominant characteristics of the vertical velocity, and the overall outcomes showed a strong sinking motion, although the two components also partially offset each other in the processes. Compared with the vertical velocities from NCEP reanalysis, the vertical motions calculated with the 3-D resolving analysis method demonstrate some advantages.展开更多
针对分布式电动汽车中簧下质量增大,车辆平顺性和车轮接地性恶化的问题,设计了一种新型齿轮连杆式轮边动力吸振器。评估其在多连杆悬架中空间布置的可行性;考虑路面不平度与电机驱动时作用在其壳体上的反力矩,建立系统的动力学模型并推...针对分布式电动汽车中簧下质量增大,车辆平顺性和车轮接地性恶化的问题,设计了一种新型齿轮连杆式轮边动力吸振器。评估其在多连杆悬架中空间布置的可行性;考虑路面不平度与电机驱动时作用在其壳体上的反力矩,建立系统的动力学模型并推导其振动力学微分方程,利用MATLAB/Simulink建立三自由度振动模型,在新欧洲行驶循环(New European Driving Cycle,NEDC)工况下得到时域内的系统响应;结合计算结果分析动力吸振器弹簧刚度阻尼对车身加速度、车轮动载荷和电机振动的影响作用,并进行动力吸振器弹簧刚度和阻尼的优化设计;最后将该系统与传统汽车和一般轮毂电机驱动系统对比,分析其改善车辆平顺性和接地性的效果。结果表明,该新型齿轮连杆式轮边动力吸振器可以合理布置在多连杆悬架中,并可显著改善分布式驱动汽车车辆平顺性和车轮接地性。展开更多
文摘A new algorithm called homotopy iteration method based on the homotopy function is studied and improved. By the improved homotopy iteration method, Polynomial systems with high Order and deficient can be solved fast and efficiently comparing to the original homotopy iteration method. Numerical examples for the ninepoint path synthesis of four-bar linkages show the advantages and efficiency of the improved homotopy iteration method.
基金Supported by National Natural Science Foundation of China(Grant Nos.51375059,61105103)National Hi-tech Research and Development Program of China(863 Program,Grant No.2011AA040203)Beijing Municipal Natural Science Foundation of China(Grant No.4132032)
文摘For a spherical four-bar linkage,the maximum number of the spherical RR dyad（R：revolute joint）of five-orientation motion generation can be at most 6.However,complete real solution of this problem has seldom been studied.In order to obtain six real RR dyads,based on Strum＇s theorem,the relationships between the design parameters are derived from a 6th-degree univariate polynomial equation that is deduced from the constraint equations of the spherical RR dyad by using Dixon resultant method.Moreover,the Grashof condition and the circuit defect condition are taken into account.Given the relationships between the design parameters and the aforementioned two conditions,two objective functions are constructed and optimized by the adaptive genetic algorithm（AGA）.Two examples with six real spherical RR dyads are obtained by optimization,and the results verify the feasibility of the proposed method.The paper provides a method to synthesize the complete real solution of the five-orientation motion generation,which is also applicable to the problem that deduces to a univariate polynomial equation and requires the generation of as many as real roots.
基金Key knowledge innovation research project (KZCX2-YW-Q11-01)973 project (2006CB403600)National Natural Science Foundation of China project (40805034)
文摘By utilizing a 3-D atmospheric circulation resolving method, the authors studied the air-sea interactive linkages between the tropical Indian Ocean and the Pacific Ocean in 1979-2008 El Nio-Southern Oscillation (ENSO) events. Their findings showed that evident 3-D gear-coupling characteristics existed in the 1979-2008 ENSO events. Their resolving analyses also suggested that the general circulation showed stronger and wider sinking motions over the eastern Indian Ocean-western Pacific during the mature phase of 1979-2008 ENSO events, compared with the vertical velocities from the U.S. National Centers for Enviornmental Prediction (NCEP) reanalysis data. With their 3-D analysis method, the vertical velocity was resolved by two components, i.e. zonal and meridional components. It was found that the zonal component of the vertical velocities showed a strong sinking motion while the meridional components showed an upward motion during the prevailing phases of the ENSO events. In the tropics, the zonal component of the vertical velocities was found greater than the meridional component, reflecting the dominant characteristics of the vertical velocity, and the overall outcomes showed a strong sinking motion, although the two components also partially offset each other in the processes. Compared with the vertical velocities from NCEP reanalysis, the vertical motions calculated with the 3-D resolving analysis method demonstrate some advantages.
文摘针对分布式电动汽车中簧下质量增大,车辆平顺性和车轮接地性恶化的问题,设计了一种新型齿轮连杆式轮边动力吸振器。评估其在多连杆悬架中空间布置的可行性;考虑路面不平度与电机驱动时作用在其壳体上的反力矩,建立系统的动力学模型并推导其振动力学微分方程,利用MATLAB/Simulink建立三自由度振动模型,在新欧洲行驶循环(New European Driving Cycle,NEDC)工况下得到时域内的系统响应;结合计算结果分析动力吸振器弹簧刚度阻尼对车身加速度、车轮动载荷和电机振动的影响作用,并进行动力吸振器弹簧刚度和阻尼的优化设计;最后将该系统与传统汽车和一般轮毂电机驱动系统对比,分析其改善车辆平顺性和接地性的效果。结果表明,该新型齿轮连杆式轮边动力吸振器可以合理布置在多连杆悬架中,并可显著改善分布式驱动汽车车辆平顺性和车轮接地性。
