今天在实际应用过程中,遇到一个很有趣的问题,我简化一下,各位高工可以帮忙看看
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今天在实际应用过程中,遇到一个很有趣的问题,我简化一下,各位高工可以帮忙看看:
工况:右侧的大车以恒定速度V向左运动,大车前端有一个定数为K的弹簧,运动过程中,弹簧与前方质量为M的小车碰撞,弹簧受压,推动小车向前。
说明:右侧的大车质量无限大,碰撞不减速,速度V恒定;不考虑摩擦力。
问题:求弹簧的最大变形量是多少?
我数学能力不行,积分积了半天没积出来,哪位学霸帮我算算看。
补充内容 (2023-9-18 15:44):
此贴终结。
结论:
弹簧的弹性势能和小车的相等的,2、3、5楼都有提到这个说法,他们说的都是对的。
要看详细推算的过程的,可以看看13楼。
感谢各位同学,愿各位都保持学习之心,永远向上。 我的解法,借助了数学软件:
可不可以从能量的角度来看这个问题,首先弹簧最大变形量肯定是出现在速度与大车相同的时候,这个时候小车的能量可以算出来,小车的能量是弹簧直接传递给他的,也就是弹性势能,这个应该也有公式可以算。就是还没想清楚大车对这个系统的影响体现在哪里 本帖最后由 喂我袋盐 于 2023-9-14 23:41 编辑
Dreaming___snai 发表于 2023-9-14 21:57
可不可以从能量的角度来看这个问题,首先弹簧最大变形量肯定是出现在速度与大车相同的时候,这个时候小车的 ...
正解。
Xmax =V*(m/K)^1/2
围观 你可以等效一下,把大车看成一堵固定的墙,小车从左往右以速度V撞向墙上的系数为k的弹簧。这样算弹簧最大压缩量 Dreaming___snai 发表于 2023-9-14 21:57
可不可以从能量的角度来看这个问题,首先弹簧最大变形量肯定是出现在速度与大车相同的时候,这个时候小车的 ...
关于使用能量守恒的办法来评估的,我举个例子:
假如小车在被碰撞的时候,一开始是不动的,直到弹簧的弹性势能积蓄的能量等于1/2*mV²时,此时大车停止运动,小车被弹飞。那么在上述的情况下,才能说小车的动能等于弹簧的弹性势能。
而实际上,小车在被碰撞的第一时间,就已经在开始加速了,所以弹簧具备的最大弹性势能实际上是要小于小车的最大动能1/2*mV²的,因为在弹簧处于最大压缩量的时候,小车已经具备一定的动能了。
碰撞不减速不满足能量守恒定律,碰撞弹簧肯定对大车做功,大车肯定要减速。 碰撞不减速不满足能量守恒定律。
在错误的假设前,是不可能得到答案的。。。。
积啥分呀,高中物理就够了。 好歹你还积了一下 有外力做功,车速度不变,弹簧的最大变形量就是弹簧被压缩死的位置,极限位置。