论文标题
耦合振荡器系统中的正常坐标和弹簧质量的影响
Normal coordinates in a system of coupled oscillators and influence of the masses of the springs
论文作者
论文摘要
对具有任意初始条件的两个耦合振荡器的系统进行运动的实验分析，并直接获得了正常坐标。该系统由两个滑行器组成，在空气轨道上移动，并通过一个弹簧连接在一起，并由另外两个弹簧连接到固定的末端。从质量中心的位置和相对距离的位置，通过对实验的数字视频分析获得正常坐标，并通过非线性拟合获得了正常频率。结果表明，尽管与滑翔机相比，弹簧的质量相对较小，但有必要考虑它们以改善实验结果的一致性。该实验理论建议针对本科实验室。
Experimental analysis of the motion in a system of two coupled oscillators with arbitrary initial conditions was performed and the normal coordinates were obtained directly. The system consisted of two gliders moving on an air track, joined together by a spring and joined by two other springs to the fixed ends. From the positions of the center of mass and the relative distance, acquired by analysis of the digital video of the experiment, normal coordinates were obtained, and by a non linear fit the normal frequencies were also obtained. It is shown that although the masses of the springs are relatively small compared to that of the gliders, it is necessary to take them into consideration to improve the agreement with the experimental results. This experimental-theoretical proposal is targeted to an undergraduate laboratory.
