层合梁结构的粘弹性界面分析

Response of Laminated Beams with Viscoelastic Interfaces

为了更好地了解弱界面对于结构力学响应的影响,通过对一平面应力问题的分析,研究了简支边界条件下层合梁结构在静态荷载作用下的粘弹性界面反应.用Kelvin-Voigt粘弹性模型模拟界面特性,得到了结构依赖于时间关系的弹性力学精确解.此外,对同厚度的弹性各向同性材料的三层层合梁结构进行了数值计算.结果表明,层合梁结构的力学响应对粘弹性界面的反应非常敏感.与粘性界面的最大不同之处在于当时间趋近于无穷大时,粘弹性界面仍然有传递层间剪力的能力.

To understand the response of laminated structures with imperfect interfaces well, a plane stress problem of simply-supported laminated isotropic beams with viscoelastic interfaces and under static loading is studied. Exact solution is derived based on the exact elasticity equation and the Kelvin-Voigt viscoelastic interracial model. Numerical computations are performed for a beam consisting of three layers of equal thickness. The results indicate that the response of the laminate is very sensitive to the presence of viscoelastic interfaces. The numerical computations also show that the viscoelastic interfaces, unlike the viscous ones, still have the ability of transferring shear stress when t→∞.