弹簧从匀速圆周运动中释放出来的运动
The Motion Of A Spring Released From Uniform Circular Motion
摘要：
弱弹簧的一端连接到以恒定角速度转动的转子上。弹簧延伸到由弹簧质量、静止长度、弹性常数、转子半径和转子角速度确定的拉伸长度。当从转子释放时，弹簧的内端如预期地拉开，导致波在弹簧塌陷时沿着弹簧向下行进。在该时间间隔期间，弹簧的外端继续以匀速圆周运动沿着其原始圆形路径移动，就好像弹簧仍然连接到转子。这类似于悬挂的弹簧从静止状态释放的效果，其底端保持在地面上方的固定位置，直到来自弹簧顶部的波到达弹簧的底部。数值模型的数值和视频分析的测量结果表明，释放后，内端沿着与外端半径相似的圆移动。效果显示为一系列交替的半圆。此外，仿真结果与实验数据一致表明：（1）弹簧伸长和阻力角随转子角速度的增大而增大;（2）下垂角随转子角速度的增大而减小;（3）溃缩弹簧的溃缩时间和弯曲角度与转子的角速度无关。
英文摘要：
A weak spring is connected at one end to a rotor turning at constant angular velocity. The spring extends to a stretched length as determined by the spring mass, rest length, spring constant, rotor radius and rotor angular velocity. When released from the rotor, the inner end of the spring pulls away as expected, causing a wave to travel down the spring as it collapses. During this time interval, the outer end of the spring continues to move along its original circular path in uniform circular motion, as if the spring were still connected to the rotor. This is analogous to the effect of a hanging Slinky released from rest whose bottom end remains at a fixed position above the ground until a wave from the top of the Slinky reaches the bottom of the Slinky. Values from a numerical model and measurements from video analysis show that upon release the inner end travels along a circle of similar radius as the outer end. The effect appears as a series of alternating semi-circles. In addition, the simulation and data agree that (1) the spring extension and drag angle increase with the angular velocity of the rotor; (2) the droop angle decreases with angular velocity of the rotor; (3) the collapse time and bend angle of the collapsing spring are independent of the angular velocity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
