具有不同尺寸微观结构的单向功能分级板的动力学:理论容忍模型
Jarosław Jędrysiak1, Magda Kaźmierczak-Sobińska1
1Department of Structural Mechanics, Łódź University of Technology, al. Politechniki 6, 90-924 Łódź, Poland.
Materials (Basel, Switzerland)
|January 25, 2025
概括
这项研究引入了用于分析微观结构的薄,弹性,功能分级板的耐受性建模. 该方法产生了对微观结构大小敏感的振动频率公式,这对于准确的动态行为预测至关重要.
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
- 振动分析 振动分析
背景情况:
- 具有功能分级材料 (FGM) 的薄弹性板表现出由微观结构细节影响的复杂行为.
- 传统模型往往忽略了微结构大小对板块动态的重大影响.
- 耐受性建模提供了一个框架,以纳入这些微观结构效应.
研究的目的:
- 为单向,非周期,功能分级的板块开发和介绍两个不同的容忍模型.
- 导出模型方程,以解释微观结构大小对板块动态的影响.
- 建立公式来预测低级和高级振动频率.
主要方法:
- 应用公差建模方法来分析板块动态.
- 用缓慢变化的系数推导模型方程,其中一些取决于微观结构大小.
- 使用Ritz方法进行自由振动分析的模型的实施.
主要成果:
- 对于具有容忍周期微观结构的功能分级板来说,衍生了两个容忍模型.
- 模型方程揭示了受微观结构大小相对于板厚的影响系数.
- 与微观结构相关的振动频率公式得到了不同的微观结构模式.
结论:
- 耐受性建模对于分析具有微观结构变化的功能分级板是有效的.
- 衍生模型提供了对振动频率的准确预测,考虑到微观结构的大小.
- 这种方法增强了对微结构板动态的理解,并使精确的频率确定成为可能.
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