| 柱面弹簧拉伸弹力的协变性 |
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| 引用本文： | 李双九,丁振瑞.柱面弹簧拉伸弹力的协变性[J].河北农业大学学报,2004,27(3):115-118. |
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| 作者姓名： | 李双九 丁振瑞 |
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| 作者单位： | 河北大学,物理科学与技术学院,河北,保定,071002;河北大学,物理科学与技术学院,河北,保定,071002 |
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| 基金项目： | 河北大学新世纪工程项目(ZB2-7) |
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| 摘 要： | 验证了拉伸弹力的协变性：完全弹性体的胡克拉伸定律具有罗伦兹变换的形式不变性，而柱面拉伸弹簧弹力公式却与常规力的罗伦兹变换相抵触。通过把劲度系数扩展为矩阵形式，拉伸弹簧的形变与弹力在罗伦兹变换中得到了统一。在严格定义四维“形变事件”后，弹簧的形变一弹力方程被表达成完全协变的四维矢量方程。
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| 关 键 词： | 柱面弹簧 拉伸弹力 罗伦兹协变性 劲度矩阵 相对论力学 |
| 文章编号： | 1000-1573(2004)03-0115-04 |
Covarience about tensile-elasticity of cylindrical spring |
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| LI Shuang-jiu,DING Zhen-rui.Covarience about tensile-elasticity of cylindrical spring[J].Journal of Agricultural University of Hebei,2004,27(3):115-118. |
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| Authors: | LI Shuang-jiu DING Zhen-rui |
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| Abstract: | This paper validates covarience about tensile-elasticity: Hooke's law about tensile-elasticity of perfect elastic body has formal invariability in Lorentz transformation, and the formula about elastic force of tensile-spring contradicts with Lorentz transformation about conventional force. By extending stiffness coefficient into stiffness matrix, the deformation and elastic force of tensile-spring coincides with Lorentz transformation. By defining four dimensional 'deformation event', the spring's equation about deformation and elasticity becomes perfect covariant 4-vector one. |
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| Keywords: | cylindrical spring tensile-elasticity Lorentz covarience stiffness matrix relativistic mechanics |
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