摘要
以多孔材料理论为基础,干摩擦非线性理论为依据,并结合小曲梁模型建立了金属橡胶材料的非线性本构关系,通过对14种密度和形状因子都不同的空心圆柱形金属橡胶材料做力与位移关系试验,并对试验数据进行拟合,得到了非线性本构关系模型中的各项系数值、材料的密度、材料的形状因子三者之间的变化关系式。由该关系式可知,当材料的密度和形状因子同时发生变化时,已知一种金属橡胶材料的密度和形状因子,就可预估该材料的各项系数值,从而就可预估金属橡胶材料在密度和形状因子同时发生变化情况下的非线性本构关系。最后从14种试件以外取2种金属橡胶试件进行算例验证,证明所采用的预估金属橡胶材料在密度和形状因子同时发生变化时的非线性本构关系的方法是合理的、有效的。
On the basis of theories of porous materials and dry friction,and combining with the model of small curved beam,nonlinear constitutive relation of metal-rubber is constructed.Static compressive experiments are made for fourteen kinds of hollow cylinders of metal-rubber,whose density and shape factor are both different.Experimental data are sorted out for curve fitting.Through fitting experimental data of hollow cylindrical metal-rubber,the relations among coefficients of nonlinear constitutive relation,density and shape factor are obtained.According to the relation,when the density and shape factor of the material are simultaneously various,if the density and shape factor of metal-rubber are given,all the coefficients of the material can be predicted,further the prediction for the constitutive relation of metal-rubber is realized when density and shape factors of the material vary simultaneously.Ultimately two kinds of metal-rubber,which are outside the scope of the fourteen kinds of samples,are applied to prove the result obtained.By the case,The method is proved to be effective and rational,by which nonlinear constitutive relation of metal-rubber is predicted on condition that density and shape factors both vary.
出处
《航空学报》
EI
CAS
CSCD
北大核心
2008年第4期1084-1090,共7页
Acta Aeronautica et Astronautica Sinica
