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蒂莫申科和莱克尼茨基的拼图 - - 交换矩形杆的扭矩刚度的规则
Cho Liang Tsai1, Chih Hsing Wang2, Min-Han Xu1
1Department of Civil and Construction Engineering, National Yunlin University of Science and Technology, Yunlin, 64002, Taiwan.
Heliyon
|September 4, 2023
概括
蒂莫申科和莱克尼茨基关于扭矩刚度解决方案的题得到解决. 新的数学证明证实了解决方案满足"交换规则"的异型和正型条,得到实验数据的支持.
科学领域:
- 固体力学 固体力学是什么
- 材料科学 材料科学 材料科学
- 数学物理 数学物理
背景情况:
- 蒂莫申科和莱克尼茨基分别开发了对等态和正态矩形杆的扭矩刚度的解决方案.
- 这些解决方案取决于条尺寸和材料特性,当宽度和厚度交换时会出现不一致,这种现象被称为"交换规则".
研究的目的:
- 调查和解决"蒂莫申科和莱赫尼茨基拼图",涉及扭矩刚度解决方案中的"交换规则".
- 通过数学证明新得出的解决方案满足了
- "交换规则"适用于同otropic 和 orthotropic 条.
主要方法:
- 使用TSAI技术重新解决蒂莫申科和莱赫尼茨基案件.
- 在数学证明中应用韦尔斯特拉斯因数分解定理.
- 分析扭矩摆形试验结果,以进行实验验证.
主要成果:
- 清等人. 在此之前. "的解决方案在数值上与蒂莫申科和莱赫尼茨基的解决方案一致.
- 从TSAI技术衍生出的解决方案本质上满足了"交换规则".
- 数学证明证实了解决方案的同一性和遵守"交换规则".
结论:
- 这是一个很棒的节目,这是一个很棒的节目.
- 蒂莫申科和莱赫尼茨基拼图"得到了解决,证明扭曲刚度解决方案可以本质上满足"交换规则".
- 这项研究提供了数学严谨性和实验支持"交换规则"在酒吧扭曲的背景下.
- 这些发现为分析矩形杆的扭转行为提供了更强大的理论框架.
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