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复合板的稳定性,在两个方向密集的肋骨系统
Jakub Marczak1, Martyna Rabenda2, Bohdan Michalak1
1Department of Structural Mechanics, Lodz University of Technology, Politechniki 6, 93-590 Łódź, Poland.
Materials (Basel, Switzerland)
|January 28, 2026
概括
本研究介绍了一种简化的分析方法,用于分析具有周期性微观结构的复合板的稳定性. 该技术的结果与有限元分析相当,但需要更少的计算资源.
科学领域:
- 机械工程 机械工程
- 材料科学 材料科学 材料科学
- 固体力学 固体力学是什么
背景情况:
- 具有周期性微观结构的复合板由于控制方程中的振荡系数而带来了挑战.
- 现有的分析解决方案复杂且计算密集.
研究的目的:
- 开发一种易于使用的分析方法,用于复合板的稳定性分析.
- 为了简化复杂复合结构的分析.
- 将拟议的方法与现有的数值技术比较,例如FEM.
主要方法:
- 使用公差平均值调控部分微分方程的转换.
- 获得一个带有恒定系数的部分微分方程系统.
- 简化方程的分析解决方案.
主要成果:
- 简化的方程类似于同质板的经典方程,使得简单的分析解决方案成为可能.
- 拟议的方法比FEM分析需要的计算资源要少得多.
- 与FEM进行比较分析验证了新方法的准确性.
结论:
- 开发的分析方法对于复合板的稳定性分析是高效和准确的.
- 该方法因其简单性和低计算成本而适合工程应用.
- 该研究分析了微观结构对关键力的影响.
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