悬臂厚板弯曲振动固有频率分析计算  

Analysis and calculation of natural frequency of cantilever thick plate bending vibration

作　　者：张晓炜 ZHANG Xiaowei(Shanxi Province Communications Planning Surveying and Designing Institute Co.,Ltd.,Taiyuan 030000,China)

机构地区：[1]山西交通规划勘察设计院有限公司,山西太原030000

出　　处：《四川建材》2024年第5期34-36,58,共4页Sichuan Building Materials

摘　　要：平板结构广泛应用于航空航天、机械、土木工程等方面,与人类生活息息相关。此前,对平板结构的分析计算主要有平板静力分析、薄板的振动、采用假设的厚板振动研究等。随着科学技术的进步,这些研究已经无法满足工程实际需要。基于Mindlin板弯曲振动动力学方程和精确化平板弯曲振动动力学方程对悬臂厚板动力学问题进行振动模态分析,给出问题的分析求解过程,并通过数值算例计算出板的固有频率并进行分析,希望能够给厚板的动力学研究提供借鉴。Plate structure is widely used in aerospace,machinery,civil engineering and other aspects,and,closely related with human life,Previously,the analysis of the plate structure are plate static analysis,thin plate vibration,thick plate vibration research with the assumption.With the developing of science and technology,these studies have not been suitable for the practical needs of the engineering.In this paper,based on Mindlin plate bending vibration dynamics equation and refined plate bending vibration dynamics equation,the vibration modal of cantilever thick plate dynamics is analysed.The solution of the problem is given and the natural frequency of plate is calculated by the numerical example.We hope to provide a method for the plate dynamic research.

关 键 词：厚板 Mindlin平板 精确化平板 弯曲振动 固有频率 

分 类 号：U411[交通运输工程—道路与铁道工程]