摘要
本文研究了非线性弹性岩土中冲击波与圆柱结构动力相互作用问题。引用一种多参数的非线性弹性岩土模型,应用摄动法把系统的基本方程按入射波的小参数展开为各阶渐近线性方程,并引入位移函数得到了解耦的波动方程。文中应用谐振波叠加法,即把对瞬态波情况的求解转变为对各谐振分量情况的求解和叠加,给出了与拉氏变换法一致的位移和应力结果。
This paper deals with the interaction of shock wave and cylindrical structure in nonlinear soil. The soil is taken as nonlinear elastic medium with multiple parameters. The basic equations are expanded in asymptotic linear equations of each order according to small parameter of incident wave's field by perturbation method. These coupled equations are decoupled into independent wave' equations by using displacement functions. The transient solutions of asymptotic equations are transformed into the superposition of harmonic components by Harmonic Wave Superposition Method. The results of displacements and stresses obtained by this method are in good agreement with those by Laplace transform.
出处
《地震工程与工程振动》
CSCD
北大核心
1992年第3期55-64,共10页
Earthquake Engineering and Engineering Dynamics
