摘要
研究均布随从载荷(随结构的变形而方向发生变化的载荷)作用下梯度多孔材料梁在湿-热环境下的非线性力学行为。考虑梯度多孔材料梁具有对称和非对称分布的两种孔隙率模型,假设材料性能在厚度上连续变化,且一维温度场和湿度场只与厚度方向有关并呈线性变化。将控制微分方程和边界条件构成的两点边值问题转化为初值问题,采用打靶法分析开孔泡沫金属材料组成的多孔梯度材料简支梁在湿-热-机载荷下(特指航空飞机上受到的随从载荷)的非线性力学行为,给出不同非均匀升温和非均匀湿度下两种模型多孔材料梁在随从载荷下的屈曲或弯曲平衡路径和平衡构形。讨论孔隙率系数、非均匀升温、非均匀湿度变化对梁后屈曲或弯曲行为的影响。结果表明:湿热环境下,同一随从载荷下对称多孔材料梁会对应三个平衡构形;非对称多孔材料梁则不同,e_(0)> 0.48时,弯曲构形随载荷单调增加。
The nonlinear mechanical behavior of graded porous material beams under the uniform distributed follower load “ that the load direction was changed with the deformation of structure ” was studied.Considering two kinds of porosity models with symmetrical and asymmetric distribution in gradient porous material beams,it was assumed that the material properties change continuously in thickness,and the one-dimensional temperature field and humidity field only relate to the thickness direction and change linearly.First,the two-point boundary value problem consisting of the governing differential equation and the boundary condition was converted to the initial value problem.The non-linear mechanical behavior of a porous gradient material simply supported beam made of open metal foam material was analyzed by using the shooting method.The equilibrium path and the equilibrium configuration of the two kinds of porous material beams under random load were given under different heterogeneous heating and non-uniform humidity.The influences of porosity coefficient,temperature rise and humidity on the post buckling or bending behavior of beams were discussed.The results show that there are three equilibrium configurations of symmetric porous beams under the same follower load in hot and humid environment.When e_(0)> 0.48,the bending configuration increases monotonically with the load.
作者
李清禄
王思瑶
张靖华
LI Qinglu;WANG Siyao;ZHANG Jinghua(School of Sciences,Lanzhou University of Technology,Lanzhou 730050,China)
出处
《航空材料学报》
CAS
CSCD
北大核心
2022年第3期38-44,共7页
Journal of Aeronautical Materials
基金
国家自然科学基金项目(12062010)。
关键词
梯度多孔材料
简支梁
湿-热环境
随从力
数值解
gradient porous material
simply supported beam
wet thermal environment
follower force
numerical solution
作者简介
通讯作者:李清禄(1974-),男,博士,副教授,主要从事复合材料力学方面的研究,E-mail:lqu2008@163.com。
