Based on the results of kinematics analysis , the kinematical performance is analyzed , and the lagrange dynamical equation is found , and it is predigested according to the practical aim , which provids necessary preparative and referenced gist for the control of the robot 根据运动学分析结果,建立的机器人拉格朗日动力学方程,结合本课题对模型进行了简化,为机器人控制提供了必要准备和参考依据。
During the course of modeling , a special lagrangian method is adopted , this method make it convenient for controlling and programming . the principium of the method is that the dynamical matrix and correlative matrix are formed by using a iterative algorithm , the algorithm has very high efficiency during programming , especially for solving complicated dynamical equation . based on the result , walk strategy and the mechanics condition for steady dynamic - walk for besiding is obtained 为了使建立的模型利于计算机控制和编程计算,文章采用了一种递推的newton - euler方法来建立机器人的力学模型,这种方法的特点是利用递推计算的办法来形成力学方程中动力矩阵和关联矩阵的元素,这就使得非常复杂的动力学方程在编程计算的时候显得非常简洁、有效,在这个基础上,文章对步行策略进行了设计,并得到了实现稳定的动态行走所必须满足的力学条件。
Considering joint clearances at both ends of the coupler , a continuous contact model is developed by modeling clearance as a massless rigid link . a set of strongly nonlinear equations is obtained by using angle displacement of clearances in kinematic pairs as generalized coordinates . four order rong - kutta method is adopted to solve the dynamical equations of continuous contact model 考虑曲柄与连杆、连杆与滑块之间运动副间隙,将运动副间隙看成是一无质量的理想杆,利用连续接触模型进行建模,采用运动副间隙角作为广义坐标,得出一组强非线性方程组。
The soft tissues are discreted to a mass - spring - damper system , and the topologies of the system are described using adjacent tables , the dynamical equations can be constructed based on the data stored in the adjacent tables . the 4th order runge - kutta method is used to integrate the equations of deformation . using computer graphical techniques to display the visual feedback of the deformation 将连续的软组织离散为由弹簧-阻尼器及与其连接的质点构成的离散系统,用邻接矩阵表示离散系统的拓扑结构,即质点-弹簧间的邻接关系,依据该信息,可自动计算与每个质点连接的弹簧、阻尼器对接点的粘弹性力的贡献,然后采用4阶runge - kutta方法对得到的微分方程组进行数值积分,用opengl技术对得到的仿真结果进行图形绘制。
In this paper , an auto modeling method is used . then dynamical equation can be established in newton - ruler equation . the velocity and acceleration of each joint can be calculated by forward iteration while the torque and force can also be calculated by backward iteration 一般的动力学建模方法都必须已知构形,本文采用一种自动建模的方法来建立可重构机器人的动力学模型,在此基础上采用牛顿?欧拉方程建立起可重构机器人的动力学方程,采用迭代的算法,正向递推计算每个关节的速度、加速度,逆向递推计算关节力、力矩。