Class Of Complex Vector Principle In The Analysis And Synthesis Of Space Agencies

Nowadays, analytic methods of analyzing and synthesizing kinematic proceedings on spatial mechanism have method of direction cosine matrix, vector rotation and similar complex vector used in this study etc, while the proceedings of analyzing with direction cosine matrix method needs building N coordinate axis which are the numbers of kinematic pairs of spatial mechanism and needs at least N coordinate axis rotations and changes. So the computation proceedings are overloaded with details. Vector rotation is the method to utilize the rotation of vector to change the coordinate system. To ordinary learners, they must study the concept of vector and build up vector coordinate system, and they will recompute the unit vector when choosing the different coordinate system. So the volume of computation is also huge and it lacks of general characters. So similar complex vector principle will gradually improve the applied research position on spatial mechanism problem of analyzing and synthesizing and become the shortcut to solve the spatial mechanism problem of analyzing and synthesizing andFirst, kinematic analyzing problem on spatial linkage mechanism with similar complex vectorSimilar complex vector principle virtually takes advantage of the Euler rotation of similar complex vector to replace the spatial rectangular coordinate axis. Most of the kinematic proceedings can be solved by absolute Euler Angle, and with the help of dynamic coordinate system and relative Euler Angle the more complex problem of kinematic proceedings on spatial mechanism will be solved easily. And this decreases the times of changing coordinate system and vectors. This paper analyzes the kinematic proceedings on a same spatial mechanism that is a RSSR four-bar linkage in methods of direction cosine matrix, vector rotation and similar complex vector by comparison and analyzing. According to the results, it demonstrates that similar complex vector principle can not only solve kinematic analyzing problem on spatial linkage mechanism but also simplify the proceedings of computation.Second, synthesizing steering mechanism of spatial rigid body with similar complex vectorWhen dynamic coordinate system goes on Euler rotation relative to staticcoordinate system, it means that the coordinate axis firstly rotating a angle around axis Z, and then rotating y angle around Xm, and finally rotating angle around Zm. So the Euler rotation matrix is deduced:includingAnd it is also deduced that spiral kinematic parameters with similar complex vector. It completes the problem of synthesizing steering mechanism of space rigid body with similar complex vector, and fills the blank of synthesizing spatial linkage mechanism with similar complex vector.Thirdly, synthesizing steering mechanism of spatial rigid body with similar complex vector by computerIt is the first time to accomplish the algorithm of synthesizing spatial linkage mechanism with similar complex vector by computer. And applying Matlab which is the most advanced scientific computation tool in the world, this program used Matrixvb as the VB's COM function to call Dynamic Link Library mmtrixvb and to implement the algorithm computation and adopts VB which is the most common used in the programmer's world to design its interface.1. Computer algorithm modulesThe whole program consists of five modules: (1) digital transferring of rectangular coordinate system; (2) solving of digital displacement matrix D; (3) solving of spiral angle and Euler angle; (4) solving of line displacement and PI; (5) fresh the digitals.To design the flow chart as follows:Module Five Module One Module Two Module Three Module Four2. Fulfillment of several mathematics function on VBDue to VB's function library doesn't have the function formula of arcsine and arccosine needed in this paper, so this paper provided the specific function formula of arcsine and arccosine and the special programming proceedings, and it preliminarily solves the prob...