Vibration analysis of foam plates based on cell volume distribution

作     者：马宇立 陈继伟 刘咏泉 苏先樾 

作者机构：The State Key Laboratory for Turbulence and Complex Systems(LTCS) and Department of Mechanics and Aerospace EngineeringCollege of EngineeringPeking University Chinalco Research Institute of Science and Technology 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2012年第33卷第12期

页      面：1493-1504页

核心收录：

学科分类：12[管理学] 083002[工学-环境工程] 1204[管理学-公共管理] 120402[管理学-社会医学与卫生事业管理(可授管理学、医学学位)] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 08[工学] 0837[工学-安全科学与工程] 

基　　金：Project supported by the National Natural Science Foundation of China(No.90916007) 

主　　题：closed-cell foam plate vibration natural frequency cell volume distribu-tion effective Young's modulus scale factor 

摘      要：In this paper, vibration analysis of irregular-closed-cell foam plates is per- formed. A cell volume distribution coefficient is introduced to modify the original Gibson- Ashby equations of effective Young＇s modulus of foam materials. A Burr distribution is imported to describe the cell volume distribution situation. Three Burr distribution pa- rameters are obtained and related to the cell volume range and the diversity. Based on the plate theory and the effective modulus theory, the natural frequency of foam plates is calculated with the change of the cell volume distribution parameters. The relationship between the frequencies and the cell volumes are derived. The scale factor of the average cell size is introduced and proved to be an important factor to the performance of the foam plate. The result is shown by the existing theory of size effects. It is determined that the cell volume distribution has an impact on the natural frequency of the plate structure based on the cell volume range, the diversity, and the average size, and the impact can lead to optimization of the synthesis procedure.