摘要
研究正交各向异性二维热弹性功能梯度板的自由振动问题。假设材料参数沿板厚方向按任意函数规律变化,基于状态空间法和Peano-Baker级数,获得了二维热弹性功能梯度平板自由振动问题的解。通过算例,分析了当材料为线性分布时,不同的梯度参数和板厚对平板最小固有频率的影响,以及不同的分布函数对最小固有频率的影响。
Two-dimensional free vibration analysis is presented for an orthotropic thermoelastic functionally graded plate.Assuming that material properties have arbitrary variations along the plate-thickness direction,an solution is obtained for the free vibration problem of the thermoelastic functionally graded plates based on state space methods and Peano-Baker series.The influence of different gradient properties and plate thickness on the lowest natural flexural frequencies of the plate is studied when material properties are linear distribution dependence on the thickness-coordinate.At the same time,the influence of different distribution functions on the lowest natural flexural frequencies of the plate is also investigated.
出处
《武汉理工大学学报》
CAS
CSCD
北大核心
2010年第5期50-54,共5页
Journal of Wuhan University of Technology
基金
上海市重点学科建设项目(B302)
