粘弹性地基上钢筋混凝土方板在低速撞击下的动力响应分析

针对工程中所遇到的撞击问题,在事先仅知道初速度的情况下,研究分析了半无限线性粘弹性地基上的钢筋混凝土方板受低速刚体撞击时的动力响应问题。与高速冲击问题中板结构发生局部破坏的情况不同,低速撞击下板结构发生的是整体响应破坏,因此计算时主要考虑结构的整体响应,但仍须考虑撞击局部损伤影响。建立了局部变形和整体响应间的关系模型,根据该模型推导出钢筋混凝土方板在低速撞击下位移响应w(x,y,t)和撞击反力p(t)的表达式,并结合算例讨论了粘弹性地基对计算结果的影响。

Dynamic Response of Square Reinforced Concrete Slabs on a Viscoelastic Foundation under Low Velocity Impact

According to impact problems confronted, under the condition of only known initial velocity of impact body,the dynamic response of square RC slabs on a viscoelastic foudation under low velocity impact is investigated in this paper. Slabs under low velocity impact fail because of overall dynamic response, essentially differing from local damage under high velocity impact. In calculating RC slabs subjected to low velocity impact, the effect of local damage will be taken into account wlhen the integral bending deformation is mainly analyzed. In this paper, by establishing the model for relationship between local deformation and integral bending deformation, the formulae for displacement and impact force are deduced, and the influence of viscoelastic foundation on results is also discussed with an example.