中文摘要：

根据非弹性位移场（ADF）模型的本构方程和控制方程,推导了自由层阻尼梁单元的有限元方程.通过对一类常用的粘弹性沥青阻尼片的试验参数拟合,采用Lanczos方法,计算了自由层阻尼悬臂梁的固有频率和模态阻尼比,并和试验结果进行了对比.结果表明,ADF模型可以准确地描述粘弹性材料的本构关系,并能直接在时域内与有限元方法相融合,可方便地对复合结构进行动力分析.

英文摘要：

According tO the constitutive equations and governing differential equations of anelastic displacement fields （ADF） model, a finite element equation of free-layer damping （FLD） cantilever beam was studied. Lanczos algorithm was applied to calculate modal frequencies and damping ratios of the FLD cantilever beam, with the parameters＇ fitting results of a type of asphalt materials. Through comparing the results with the experimental ones, some good conclusions can be drawn. The ADF method can be used to implement the viscoelastic material model exactly, enabling the straightforward development of time-domain finite elements. With these features, ADF model can be used in dynamic analysis of compound structure conveniently.