Coordinate Transform Methods Used in Dynamic Simulation of Satellite Separation

2012 ◽  
Vol 569 ◽  
pp. 712-717 ◽  
Author(s):  
Xing Zhi Hu ◽  
Xiao Qian Chen ◽  
Yong Zhao

Direction cosine matrix, Euler angles and quaternions are the common methods for translating vector equations into scalar equations. These methods used in separation simulation lack systematic discussion and comparison. This article is trying to present a proper coordinate transformation method for dynamic analysis of satellite separation. 321 and 123 rotations of Euler angles are proposed to construct the dynamic equations, which is different from simulation of missiles by the rotation of 321 and 231. Both Euler angles and quaternions are adopted to model the separation process of a small satellite that uses the helical compression springs mechanism. Feasibility and practicability of the approach are proved by comparing the simulation results, which are solved in MATLAB and ADAMS software platforms. It is concluded that the method of quaternions is more accurate and efficient in dynamic simulation of satellite separation.

2011 ◽  
Vol 103 ◽  
pp. 51-56
Author(s):  
Ming Yang Guan ◽  
Ming Li Dong ◽  
Lian Qing Zhu ◽  
Yang Kuan Guo ◽  
Qing Shan Chen

An in-site measurement method for big gears based on laser tracking and coordinate measurement technology is proposed in this paper. The coordinate transformation method, in which direction cosine are used as parameters, is suitable for large rotation angle transformation. The coordinate transformation with large rotation angle in the in-site measurement, hence, can be realized. The experimental results show that the proposed coordinate transformation method has the advantages of high accuracy and stability, and can meet the requirements of the laser tracking in-site measurement system for big gears.


2018 ◽  
Vol 175 ◽  
pp. 03045
Author(s):  
Hu Xinzhe ◽  
Feng Huize ◽  
Tang Huiying ◽  
Hong Xueming ◽  
Fan Jiankai

As an important mechanism with intermittent motion, the globoidal indexing cam is always a research hot in the mechanical fields. The working profile of globoidal indexing cam is extremely complicated and undevelopable, which make it quite difficult to be protracted by the conventional drafting method. Aiming at this problem, the working curvilinear equation of the intermittent motion of an indexing cam is derived based on the RPY (Roll-Pitch-Yaw) coordinate transformation method. The 3D model based on the curvilinear equation is built by the Creo2.0 modeling software. The virtual prototype is established based on the ADAMS software, while the kinematics simulation is implemented. The success of virtual simulation verifies the correctness of curvilinear equation. The numerical results, presented and discussed in the paper, indicate that the proposed model is feasible to foresee the kinematic behaviour of an actual system.


2014 ◽  
Vol 945-949 ◽  
pp. 1421-1425
Author(s):  
Xiu Qing Hao

Take typical parallel mechanism 3PTT as research subject, its inverse kinematic analysis solution was gotten. Dynamic model of the mechanism was established by Newton-Euler method, and the force and torque equations were derived. Dynamic simulation of 3PTT parallel mechanism was done by using ADAMS software, and simulation results have verified the correctness of the theoretical conclusions.


2021 ◽  
pp. 1-19
Author(s):  
Habib Ghanbarpourasl

Abstract This paper introduces a power series based method for attitude reconstruction from triad orthogonal strap-down gyros. The method is implemented and validated using quaternions and direction cosine matrix in single and double precision implementation forms. It is supposed that data from gyros are sampled with high frequency and a fitted polynomial is used for an analytical description of the angular velocity vector. The method is compared with the well-known Taylor series approach, and the stability of the coefficients’ norm in higher-order terms for both methods is analysed. It is shown that the norm of quaternions’ derivatives in the Taylor series is bigger than the equivalent terms coefficients in the power series. In the proposed method, more terms can be used in the power series before the saturation of the coefficients and the error of the proposed method is less than that for other methods. The numerical results show that the application of the proposed method with quaternions performs better than other methods. The method is robust with respect to the noise of the sensors and has a low computational load compared with other methods.


2014 ◽  
Vol 940 ◽  
pp. 132-135 ◽  
Author(s):  
Yi Fan Zhao ◽  
Ling Sha ◽  
Yi Zhu

Established the dynamics simulation analysis model of crane hoisting mechanism based on the theory of dynamics in Adams software, and then through the three dimensional model of lifting mechanism dynamics entities, the constraints, load, drive can be added, the motion law can be defined to simulation analysis the change of the force of wire rope, the change of displacement, velocity and acceleration of lifting weight in the lifting process. On the basis of the simulation results, it can make a great improvement for the structure of crane and provide a meaningful theoretical reference for the hoisting machinery innovation design.


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