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在各种任意边界类型下,功能分级的多孔圆和面板的Ritz解决方案振动分析
Qingtao Gong1,2, Tao Liu3, Yao Teng1,2
1Ulsan Ship and Ocean College, Ludong University, Yantai 264025, China.
Materials (Basel, Switzerland)
|March 13, 2025
概括
本研究提出了一个通用的数值模型,用于分析功能分级的多孔圆和面板的自由振动. 该模型在各种边界条件下准确预测振动行为,为结构分析提供了可靠的工具.
科学领域:
- 计算力学 计算力学 计算力学
- 结构工程 结构工程
- 材料科学 材料科学 材料科学
背景情况:
- 功能分级多孔材料 (FGP) 为先进的结构应用提供了量身定制的性能.
- 了解FGP圆形外和面板的自由振动行为对于其设计和安全至关重要.
- 现有的模型可能缺乏处理各种边界条件和复杂几何形状的通用性.
研究的目的:
- 开发FGP圆外和面板的自由振动分析的通用数值模型.
- 纳入第一阶剪切变形理论 (FSDT) 和先进的数值技术,用于准确的建模.
- 研究几何参数和边界条件对振动响应的影响.
主要方法:
- 利用一级剪切变形理论 (FSDT) 进行结构位移表述.
- 采用了元素连续性的细分技术和任意边界模拟的虚拟弹边界技术.
- 应用了变量系数的雅科比多项式作为允许的函数,并使用LSWRM的Ritz变量方法来解决能量方程.
主要成果:
- 开发的数值模型显示了高可靠性和收性质,与有限元和文献数据进行了验证.
- 该研究成功地探讨了几何参数和各种边界条件对FGP圆外和面板振动特征的影响.
- 该模型为这些复杂结构的自由振动行为提供了准确的预测.
结论:
- 一般化的数值模型对于分析FGP圆形外和面板的自由振动是有效的.
- 这些发现为工程应用中FGP结构的设计和优化提供了理论基础.
- 这项研究有助于更广泛地了解先进复合材料中的振动力学.
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