| Bistatic Measurement Simulator has obvious advantages in terms of study measured system characteristics,the control algorithm verification,testing and calibration of key components and other aspects.It has an important role in reducing test costs,shorten development cycles and improving the reliability of the research results.A new type of Simulator was created when combined the Circular rail with the traditional Simulator.The Simulator is characterized by low Shielding rate,wide motion range and wide adaptability of the model shape.This paper based on the project of large detection system in Zhengzhou Research institute of Mechanical Engineering,the mathematical model of the Simulator,kinematics,error,shielding rate were studied.In this paper,the coordinate system of the Simulator was reasonably defined.Using the screw theory,the degrees of freedom were analyzed.The results show that the simulator has the degrees of freedom of X,Y,Z axis rotational and can simulate the orientation of measured model.In the kinematics,positive solution and inverse solution is the most basic and core problem.In this paper,positive solution and inverse solution of the Simulator were studied.In addition,the error of the Simulator was analyzed,and the mathematical models of the error were studied.Shielding rate is an important indicator of the simulator,in this paper,the Shielding rate were analyzed.The mathematical model of the detected component and the simulator were established,and a numerical calculation method was presented which can be used for the calculation of complex geometry projection area and shielding rate.In addition,some optimization methods of shielding rate were studied,including optimizing simulator structure and transform model supporting point,and the mathematical model of model supporting point transformation are deduced. |