V2EX spring constant

Spring Constant

释义 Definition

弹簧常数(k):描述弹簧“硬/软”的物理量,表示弹簧在弹性形变范围内,单位位移所需的力大小。常见于胡克定律:\( F = kx \)。单位通常为 N/m(牛顿/米)。在一些语境中也可泛指系统的等效刚度

发音 Pronunciation

/spr knstnt/
/spr knstnt/

例句 Examples

The spring constant is 200 N/m.
弹簧常数是 200 N/m。

By measuring the displacement under known loads, we estimated the spring constant and modeled the system’s oscillation.
通过测量在已知载荷下的位移,我们估算了弹簧常数,并对系统的振动进行了建模。

词源 Etymology

spring 原指“跳跃、弹起”,在英语中逐渐引申为“弹簧”(能回弹的装置);constant 来自拉丁语 constans,意为“稳定不变的”。组合成 spring constant,强调它是表征弹簧弹性特性的“固定参数”,在经典力学与振动问题中非常常见。

相关词 Related Words

文学与著作 Literary Works

  • The Feynman Lectures on Physics(费曼《物理学讲义》)在讲解简谐振动与胡克定律时讨论弹簧常数 \(k\)
  • Fundamentals of Physics(Halliday, Resnick & Walker《物理学基础》)力学与振动章节频繁使用 spring constant
  • University Physics(Young & Freedman《大学物理》)弹簧质点系统、能量与振动模型中使用该术语
  • An Introduction to Mechanics(Kleppner & Kolenkow《力学导论》)用 \(k\) 建立简谐振子与近似模型
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