Dynamic response of cylindrical lined cavity in elastic medium
来源期刊：中南大学学报(英文版)2013年第10期
论文作者：GAO Meng(高盟) WANG Ying(王滢) GAO Guang-yun(高广运)
文章页码：2849 - 2855
Key words：cylindrical lined cavity; internal loading; transient response; Laplace transforms
Abstract: An analytical solution to the transient dynamic response of a cylindrical lining subjected to an internal loading was presented and the dynamic interaction between the lining and surrounding soil was considered. The lining structure and the soil were treated as a cylindrical elastic shell and an infinite elastic compressible medium, respectively. A two-dimensional axisymmetric wave equation was derived from the governing equation of displacement by introducing the potential functions. Shell equation of motion was established based on continuity conditions. The closed-form solution for dynamic response of the lining due to an impact loading was obtained in Laplace transforms and inverse transforms. Detailed parametric studies were also presented to illustrate the influences of the Poisson ratio of soil, the dynamic shear moduli of both soil and lining and the thickness of lining on dynamic response of the lining.
GAO Meng(高盟)1, 2, WANG Ying(王滢)2, GAO Guang-yun(高广运)2
(1. Shandong Province Key Laboratory of Civil Engineering & Disaster Prevention and Mitigation
(Institute of Civil Engineering and Architecture, Shandong University of Science and Technology),
Qingdao 266590, China;
2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education (Tongji University),
Shanghai 200092, China)
Abstract:An analytical solution to the transient dynamic response of a cylindrical lining subjected to an internal loading was presented and the dynamic interaction between the lining and surrounding soil was considered. The lining structure and the soil were treated as a cylindrical elastic shell and an infinite elastic compressible medium, respectively. A two-dimensional axisymmetric wave equation was derived from the governing equation of displacement by introducing the potential functions. Shell equation of motion was established based on continuity conditions. The closed-form solution for dynamic response of the lining due to an impact loading was obtained in Laplace transforms and inverse transforms. Detailed parametric studies were also presented to illustrate the influences of the Poisson ratio of soil, the dynamic shear moduli of both soil and lining and the thickness of lining on dynamic response of the lining.
Key words:cylindrical lined cavity; internal loading; transient response; Laplace transforms
