This paper presents a new method for bending analysis of moderately thick viscoelastic plates using elasticity responses at asymptotic times. The displacement vector is approximated utilizing two functions of geometrical parameters and one function of time parameter with an unknown coefficient. The unknown coefficient of time function is determined by solving an implicit equation having little computational cost. Numerical results are compared with other existing results to show the accuracy and efficiency of the present method. Also, the effects of geometrical parameters and material properties on the time-dependent central deflection of viscoelastic Mindlin plates are considered for the first time.

本文提出了一种利用渐近时间的弹性响应进行中厚粘弹性板弯曲分析的新方法。利用几何参数的两个函数和系数未知的时间参数的一个函数来近似位移向量。通过求解具有很少计算成本的隐式方程来确定未知的时间系数函数。将数值结果与其他现有结果进行比较，以显示本方法的准确性和效率。此外，首次考虑了几何参数和材料特性对粘弹性Mindlin板随时间变化的中心挠度的影响。