摘要
基于经典梁理论以及物理中面概念,研究了机械载荷作用下梯度多孔材料梁的非线性弯曲及过屈曲问题。利用能量法导出了梯度多孔材料梁的基本方程,并用打靶法对其进行数值求解。假设梯度多孔材料性质只沿厚度方向变化,利用数值结果研究了两种不同材料模型下梯度多孔材料性质、外载荷、边界条件等因素对梯度多孔材料梁非线性弯曲及过屈曲行为的影响。数值结果表明:随着孔隙率的增大,梯度多孔材料梁的弯曲挠度增大,而且非对称材料模型下的结果高于对称材料模型下的结果;梯度多孔材料梁的临界屈曲载荷随孔隙率的增大而减小,而非对称材料模型下的结果低于对称材料模型下的结果。
Based on the classical beam theory and the concept of mid plane in physics, the nonlinear bending and post buckling of a gradient porous beam under mechanical loading are investigated. The basic equation of the gradient porous material beam is derived by using energy method, and its numerical solution is carried out by the shooting method. It is assumed that the properties of the gradient porous material only change along the thickness direction of the beam. The numerical results are used to study the effects of gradient porous material properties, external load and boundary conditions on the nonlinear bending and post buckling behavior of the gradient porous material beam with two different material models. Numerical results obtained herein show that the deflections of the gradient porous beams increase with an increase in porosity, and results of the beams with nonsymmetrical distribution of material properties are higher than those of the beams with symmetrical distribution of material properties. An increase in the porosity results in a decrease in the critical buckling load for a gradient porous beam and results of the beams with nonsymmetrical distribution of material properties are lower than those of the beams with symmetrical distribution of material properties.
作者
孙昊栋
马连生
Sun Haodong;Ma Liansheng(College of Science,Lanzhou University of Technology,730050,Lanzhou,China)
出处
《应用力学学报》
CAS
CSCD
北大核心
2019年第1期104-109,256,共7页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金(11472123)
西安交通大学机械结构强度与振动国家重点实验室开放课题(SV2014-KF-04)
关键词
梯度多孔材料
孔隙率
弯曲
过屈曲
打靶法
gradient porous material
porosity
bending
post-buckling
shooting method
