SIMULATION OF KINEMATIC AND DYNAMIC MODEL OF TWO DEGREES OF FREEDOM ROBOT ARM USING SIMULINK

Aytuğ Becenen, Gürkan Tuna
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Abstract

The aim of this study is to realize the physical model of a robot arm with two degrees of freedom in the MATLAB Simulink environment, to show that the physical model of the robot arm matches the mathematical model and that the results of these models match. For this purpose, kinematic and dynamic modeling of a two-degree-of-freedom robotic arm is performed in the MATLAB Simulink environment. To ensure the accuracy of the physical model created in the MATLAB Simulink environment, mathematical equations are defined to a function within the physical model, in other words, a mathematical model is created. The kinematic equations of the robotic arm are examined in two steps as forward kinematics and inverse kinematics equations, and the geometric approach is used when obtaining the kinematic equations. The Lagrange-Euler method is used to obtain dynamic equations. The results obtained show that the mathematical kinematic and dynamic equations match the physical model in the MATLAB Simulink environment and reveal that the system is reliable.
使用 simulink 模拟双自由度机械臂的运动学和动力学模型
本研究的目的是在 MATLAB Simulink 环境中实现双自由度机械臂的物理模型,以证明机械臂的物理模型与数学模型相匹配,并且这些模型的结果相吻合。为此,我们在 MATLAB Simulink 环境中对双自由度机械臂进行了运动学和动力学建模。为确保在 MATLAB Simulink 环境中创建的物理模型的准确性,在物理模型中定义了函数的数学方程,换句话说,创建了数学模型。机械臂的运动学方程分为正向运动学方程和逆向运动学方程两步进行研究,在获取运动学方程时使用了几何方法。拉格朗日-欧拉法用于获得动态方程。所得结果表明,数学运动学方程和动态方程与 MATLAB Simulink 环境中的物理模型相匹配,并揭示了系统的可靠性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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