粘弹性材料的ADF模型研究

STUDY ON ADF MODEL OF VISCOELASTIC MATERIAL

采用GA-BFGS混合遗传算法建立了一套确定粘弹性模型参数的方法,对ADF模型进行参数拟合,并与标准流变模型,GHM模型及试验结果进行了比较。基于ADF模型的本构方程和控制方程,建立了粘弹性自由层阻尼悬臂梁的有限元方程。算例表明,本文确定模型参数的方法是有效的;同时通过对自由层悬臂梁的有限元模态分析,表明ADF模型在描述粘弹性材料本构关系中具有结构简单,计算精确,方便和有限元相结合的特点。

An effective approach to determining parameters of a viscoelastic model is established based on a hybrid GA-BFGS genetic algorithm. The parameter fitting is performed for an anelastic displacement field(ADF) model and its results are compared with those of the standard rheologic model and the GHM model as well as the corresponding experimental results. Based on the constitutive equation and the governing motion equations of the ADF model, a finite element equation of a visoelastic free-layer damping (FLD) cantilever beam is established. Numerical examples show that the method proposed is effective and the ADF model is simple, accnrate and easy to combine with finite element method for describing constitutive relation of visco-elastic materials.