弹簧节距的选择依据是什么?
本帖最后由 互通有无 于 2024-9-27 10:23 编辑大家好,按照机械设计手册,计算弹簧的时候可以计算簧丝直径,弹簧刚度,弹簧中经,没有确定弹簧节距的依据,有一个节距计算公式是高度除以圈数,而圈数又与压缩量有决定关联,我个人认为弹簧节距应该和弹簧中径和/或丝径有一个最佳比例,也就是说弹簧簧丝的升角不能太大,也不能太小;这是我个人的理解,不一定正确,希望大家讨论
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从实用角度出发,选一款弹簧比设计一款弹簧要靠谱的多 来自豆包:
弹簧节距的选择需要考虑多个方面,以下是主要的依据:
**一、弹簧的用途**
1. 缓冲和减震
- 如果弹簧用于缓冲和减震,通常需要较大的节距。较大的节距可以提供更大的变形空间,吸收更多的能量,从而有效地减少冲击和振动。
- 例如,在汽车悬挂系统中,弹簧的节距较大,以适应不同路况下的冲击和振动。
2. 支撑和复位
- 当弹簧用于支撑和复位时,节距的选择需要根据所需的支撑力和复位速度来确定。
- 较小的节距可以提供更大的刚度,适用于需要较大支撑力的场合。而较大的节距则可以提供更快的复位速度,适用于需要快速响应的场合。
- 例如,在机械阀门中,弹簧的节距较小,以提供足够的支撑力来保持阀门的关闭状态。
3. 储能和释放能量
- 对于储能和释放能量的弹簧,节距的选择需要考虑能量存储和释放的效率。
- 较小的节距可以存储更多的能量,但释放能量的速度可能较慢。较大的节距则可以更快地释放能量,但存储的能量可能较少。
- 例如,在弹簧玩具中,弹簧的节距较小,以存储足够的能量,使玩具能够弹出较远的距离。
**二、负载要求**
1. 负载大小
- 弹簧所承受的负载大小是选择节距的重要依据之一。较大的负载需要更粗的弹簧丝和较小的节距,以提供足够的强度和刚度。
- 相反,较小的负载可以使用较细的弹簧丝和较大的节距,以降低成本和重量。
2. 负载类型
- 负载类型也会影响弹簧节距的选择。例如,静态负载和动态负载对弹簧的要求不同。
- 静态负载下,弹簧的节距可以相对较大,因为弹簧只需要承受恒定的压力。而在动态负载下,弹簧需要承受不断变化的压力,因此节距需要较小,以提供更好的弹性和稳定性。
**三、弹簧的尺寸和空间限制**
1. 弹簧的直径和长度
- 弹簧的直径和长度会限制节距的选择。较大的直径和长度可以允许使用较大的节距,而较小的直径和长度则需要较小的节距。
- 在设计弹簧时,需要根据实际的安装空间和尺寸要求来选择合适的节距。
2. 安装空间限制
- 如果弹簧的安装空间有限,那么节距的选择也会受到限制。在这种情况下,需要选择较小的节距,以确保弹簧能够安装在有限的空间内。
**四、弹簧的材料和性能要求**
1. 材料的弹性模量
- 弹簧材料的弹性模量决定了弹簧的刚度和弹性性能。不同的材料具有不同的弹性模量,因此在选择节距时需要考虑材料的弹性模量。
- 一般来说,弹性模量较高的材料可以使用较大的节距,而弹性模量较低的材料则需要较小的节距。
2. 材料的强度和疲劳寿命
- 弹簧材料的强度和疲劳寿命也是选择节距的重要考虑因素。较大的节距会增加弹簧的应力,降低材料的疲劳寿命。
- 因此,在选择节距时,需要根据材料的强度和疲劳寿命要求来确定合适的节距,以确保弹簧的可靠性和使用寿命。
**五、制造工艺和成本**
1. 制造工艺的可行性
- 弹簧的节距选择还需要考虑制造工艺的可行性。较小的节距可能需要更复杂的制造工艺,增加生产成本。
- 在选择节距时,需要综合考虑制造工艺的难度和成本,选择既能够满足性能要求又具有经济可行性的节距。
2. 成本因素
- 成本也是选择弹簧节距的一个重要考虑因素。一般来说,较小的节距会增加弹簧的材料成本和制造难度,从而提高总成本。
- 因此,在选择节距时,需要根据实际的成本预算来确定合适的节距,以确保在满足性能要求的前提下,尽可能降低成本。
综上所述,弹簧节距的选择需要综合考虑弹簧的用途、负载要求、尺寸和空间限制、材料和性能要求以及制造工艺和成本等因素。只有在充分考虑这些因素的基础上,才能选择出合适的弹簧节距,以满足实际应用的需求。 向上努力 发表于 2024-9-27 10:36
来自豆包:
弹簧节距的选择需要考虑多个方面,以下是主要的依据:
感谢回复,这些都是理论方面的描述,没有可参考的意义,比如一个20*80(丝径*中径)的弹簧,节距选择是否可以按丝径确定,t=1.5d,或1.75d,或2d;然后根据用途条件调整;
这样?我每次都按小时候的Y=kx+b去搞,弹簧很多时候还是依赖查表吧,每次设计弹簧不拿之前的类比就会忘记这东西还是难玩:Q 不能发生塑性变形,应力极限不要超 庙岭叶无道 发表于 2024-9-27 10:58
这样?我每次都按小时候的Y=kx+b去搞,弹簧很多时候还是依赖查表吧,每次设计弹簧不拿之前的类比就会忘记这 ...
我觉得就a=5-9度有意义,上面那个圈数n是由压缩量确定的,没有独立性
本帖最后由 互通有无 于 2024-9-27 13:23 编辑
wryp 发表于 2024-9-27 12:14
不能发生塑性变形,应力极限不要超
这个公式data:image/png;base64,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
国标对圆柱螺旋弹簧螺旋角推荐值大于等于5°且小于9°,螺旋角与节距和弹簧中径有计算关系,通过一系列的假设和计算来保证最终符合螺旋角推荐值
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