The problems of the bobbin capacity and the high speed unwinding yarn taking off the ring or not during the winding of the ring spinning machine were dealt with. The mathematical model of the ring winding machine moti...The problems of the bobbin capacity and the high speed unwinding yarn taking off the ring or not during the winding of the ring spinning machine were dealt with. The mathematical model of the ring winding machine motion law was analyzed and optimized.Through the analysis and study of the movement rule of bottom bobbins and the ring spinning frame spool forming, the mathematical model of active bottom bobbins forming movement was established. Also,the mathematical model of bobbins formation was simulated and optimized. The concept of "controlled nail"was put forward. On this basis,the mathematical model of the current tube forming motion was optimized. The experimental results demonstrated that the theory of"controlled nail"met the high-speed spinning winding theory. The theory of "controlled nail "not only did the capacity of the bobbin increase,but also the spinning speed and efficiency are both improved,reducing the high-speed winder winding off. This research could provide a theoretical basis for the development of a new ring spinning frame.展开更多
This paper provides derivation of some basic identities for complex four-component vectors defined in a complex four-dimensional spacetime frame specified by an imaginary temporal axis. The resulting four-vector ident...This paper provides derivation of some basic identities for complex four-component vectors defined in a complex four-dimensional spacetime frame specified by an imaginary temporal axis. The resulting four-vector identities take exactly the same forms of the standard vector identities established in the familiar three-dimensional space, thereby confirming the consistency of the definition of the complex four-vectors and their mathematical operations in the general complex spacetime frame. Contravariant and covariant forms have been defined, providing appropriate definitions of complex tensors, which point to the possibility of reformulating differential geometry within a spacetime frame.展开更多
基金National Basic Research Program of China(973 Program)(No.2010CB334711)
文摘The problems of the bobbin capacity and the high speed unwinding yarn taking off the ring or not during the winding of the ring spinning machine were dealt with. The mathematical model of the ring winding machine motion law was analyzed and optimized.Through the analysis and study of the movement rule of bottom bobbins and the ring spinning frame spool forming, the mathematical model of active bottom bobbins forming movement was established. Also,the mathematical model of bobbins formation was simulated and optimized. The concept of "controlled nail"was put forward. On this basis,the mathematical model of the current tube forming motion was optimized. The experimental results demonstrated that the theory of"controlled nail"met the high-speed spinning winding theory. The theory of "controlled nail "not only did the capacity of the bobbin increase,but also the spinning speed and efficiency are both improved,reducing the high-speed winder winding off. This research could provide a theoretical basis for the development of a new ring spinning frame.
文摘This paper provides derivation of some basic identities for complex four-component vectors defined in a complex four-dimensional spacetime frame specified by an imaginary temporal axis. The resulting four-vector identities take exactly the same forms of the standard vector identities established in the familiar three-dimensional space, thereby confirming the consistency of the definition of the complex four-vectors and their mathematical operations in the general complex spacetime frame. Contravariant and covariant forms have been defined, providing appropriate definitions of complex tensors, which point to the possibility of reformulating differential geometry within a spacetime frame.
