摘要
用Matlab研究了椭圆摆的角加速度¨θ与θ摆角的关系,发现在很多情况下它们很接近线性关系,椭圆摆作很近似的简谐振动,研究了振动的周期随物块与质点的质量比m2/m1、圆弧线的半径r、质点刚开始运动时的摆角0θ的变化关系.发现当质点刚开始运动时的摆角0θ比较大时,椭圆摆还能作很近似的简谐振动,且振动的周期随θ0的增大而增大.
By the Use of Maflab it has been found out that under certain conditions the relationship between θ^.. and θ is very near linear, and so the period of ellipticl pendulum is numerically calculated. The relationship between the period of elliptical pendulum and ml/m2, too, is discussed. Especially, it has been found out that even when θ0 is near the elliptical pendulum is very near simple harmonic motion and its period is inceased as the θ0 is inceased. These are very different from simple pendulum.
关键词
椭圆摆
简谐振动
周期
Matlab:值计算
elliptical pendulum
simple harmonic motion
period
Matlab
numerical calculation
