功能梯度材料梁的自由振动问题研究  

Study of free vibration of functionally graded materials beams

作　　者：王明禄[1] 魏高峰[1] 李翠艳 

机构地区：[1]山东轻工业学院机械工程学院,山东济南250353 [2]山东津单幕墙有限公司,山东济南250101

出　　处：《山东轻工业学院学报（自然科学版）》2009年第3期19-21,共3页Journal of Shandong Polytechnic University

基　　金：山东省优秀青年科学家奖励基金(2007BS004045)

摘　　要：假设功能梯度材料梁的材料性能沿厚度方向呈幂律形式连续变化。在平截面假设下,考虑由材料非均匀性引起的中面应变的前提下,建立了热/机载荷作用下功能梯度材料弹性梁自由振动的运动微分方程。求解了两端简支等四种常见边界条件下功能梯度材料梁的固有频率和主振型。The material properties of FGM beams are assumed to vary continuously through the thickness of the beam according to a power law distribution. Based on the assumption that plane section remains plane and normal to the beam axis, the differential equations of motion were established for free vibration of FGM elastic beams under thermo-loads and mechanical loads on the premise of the middle plane strain caused by heterogeneity of the materials. Natural frequency and dominant mode shape of FGM beams under four kinds of boundary conditions were obtained.

关 键 词：功能梯度梁 自由振动 固有频率 主振型 

分 类 号：O345[理学—固体力学]