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Aerospace Instrument-Making Annotation << Back
Time-depended model for magnetic suspension of vehicles |
С.В. Богословский
Known models of contactless vehicles are usually described by the equations of the low order. It is caused by presence of insuperable problems with reception of the analytical decision for the nonlinear equations above the second order. In real contactless suspension systems the generalized coordinate may depend on many variables, each of which is described by the multivariate differential equation. In these cases a unique method of transition from initial nonlinear model to integrable models is linearization. One of known methods of linearization of nonlinear models is replacement of argument of nonlinear function by known function of time with the subsequent definition of the linearization factors. Such method is applied, for example, for harmonious linearization of nonlinear functions. The similar approach is used and in the given article. In article the model of a contactless vehicle in which nonlinearity of power influence is approximated by variable factor of hyperbolic type is offered. The model of nonlinearity depends from time and from speed of moving of a rotor as from parameter. The model of contactless suspension may be classified as model of a linear time-depended control system with special a point. The model may be used for the analysis and synthesis of control systems by gyroscopes and contactless vehicles. |
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