An improved whole model of beam pumping system was built. In the detail, for surface transmission system(STS), a new mathematical model was established considering the influence of some factors on the STS's torsio...An improved whole model of beam pumping system was built. In the detail, for surface transmission system(STS), a new mathematical model was established considering the influence of some factors on the STS's torsional vibration, such as the time variation characteristic of equivalent stiffness of belt and equivalent rotational inertia of crank. For the sucker rod string(SRS), an improved mathematical model was built considering the influence of some parameters on the SRS's longitudinal vibration, such as the nonlinear friction of plunger, hydraulic loss of pump and clearance leakage. The dynamic response and system efficiency of whole system were analyzed. The results show that there is a jumping phenomenon in the amplitude frequency curve, and the system efficiency is sensitive to motor power, pump diameter, stroke number, ratio of gas and oil, and submergence depth. The simulation results have important significance for improving the efficiency of beam pumping system.展开更多
Some new sufficient conditions for the oscillation of the neutral equationddt[y(t)-R(t)y(t-r)]+P(t)y(t-τ)- Q(t)y(t-σ)=0, where P,Q,R∈C([t0,∞),R+) and r,τ,σ∈(0,∞),are obtained for the case whe...Some new sufficient conditions for the oscillation of the neutral equationddt[y(t)-R(t)y(t-r)]+P(t)y(t-τ)- Q(t)y(t-σ)=0, where P,Q,R∈C([t0,∞),R+) and r,τ,σ∈(0,∞),are obtained for the case where former results can not be applied in this paper.展开更多
基金Projects(50974108,51174175) supported by the National Natural Science Foundation of China
文摘An improved whole model of beam pumping system was built. In the detail, for surface transmission system(STS), a new mathematical model was established considering the influence of some factors on the STS's torsional vibration, such as the time variation characteristic of equivalent stiffness of belt and equivalent rotational inertia of crank. For the sucker rod string(SRS), an improved mathematical model was built considering the influence of some parameters on the SRS's longitudinal vibration, such as the nonlinear friction of plunger, hydraulic loss of pump and clearance leakage. The dynamic response and system efficiency of whole system were analyzed. The results show that there is a jumping phenomenon in the amplitude frequency curve, and the system efficiency is sensitive to motor power, pump diameter, stroke number, ratio of gas and oil, and submergence depth. The simulation results have important significance for improving the efficiency of beam pumping system.
文摘Some new sufficient conditions for the oscillation of the neutral equationddt[y(t)-R(t)y(t-r)]+P(t)y(t-τ)- Q(t)y(t-σ)=0, where P,Q,R∈C([t0,∞),R+) and r,τ,σ∈(0,∞),are obtained for the case where former results can not be applied in this paper.