哈尔滨工程大学学报Issue(3)：274-279,6.DOI:10.3969/j.issn.1006-7043.201212050
正交各向异性功能梯度夹层板的自由振动分析
Free vibration analysis of the orthotropic functionally gradient sandwich plate
摘要
Abstract
Based on the Reissner assumptions , this paper describes the research done on the free vibration analysis of simply supported orthotropic sandwich panels with a functionally graded core .The expressions of the dynamic equations were presented according to the constitutive relations and stress states of the functionally gradient core and orthotropic face sheets.The natural frequencies of functionally graded rectangular sandwich plates were obtained by expanding the deflection, transverse shearing force with double trigonometric series that satisfy the four-sided simply supported bounda-ry conditions.The natural frequencies of two types of functionally graded sandwich plates were calculated with the numer-ical example , in which Young's modulus of the functionally graded core obeys the linear and power-law distribution through the thickness respectively .The impact of the distribution parameters of the functionally graded core's properties, the thickness-side ratio and aspect ratio , on the natural frequency of the sandwich plate was also examined .The proposed solutions were validated and shown to be precise and effective by comparing the results with FEM solutions .关键词
功能梯度材料/正交各向异性/夹层板/自由振动/简支Key words
functionally graded materials/orthotropic/sandwich plate/free vibration/simply supported分类
数理科学引用本文复制引用
李华东,朱锡,梅志远,张颖军..正交各向异性功能梯度夹层板的自由振动分析[J].哈尔滨工程大学学报,2014,(3):274-279,6.基金项目
国家自然科学基金资助项目（50979110）． （）
