中北大学学报（自然科学版）2016，Vol.37Issue(6)：561-565,587,6.DOI:10.3969/j.issn.1673-3193.2016.06.002
C.R.Johnston直接法求解受弹性地基约束充液粘弹性管中的非线性波
Solving of Nonlinear Wave in a Fluid-Filled Viscoelastic Tube with Elastic Foundation Restriction by Using C.R.Johnston Direct Approach
摘要
Abstract
Propagation of nonlinear waves in a fluid-filled thin viscoelastic tube buried inside elastic foun-dation was studied.The material of the tube was assumed to be viscoelastic,the reaction of foundation was calculated based on Winkler model,and the fluid was incompressible and inviscid.Initially,the tube is in a state of static equilibrium with inner pressure P0 .A disturbance was considered as superimposed on this static deformation.The nonlinear equations of motion consisted of the mass conservation,the balance of linear momentum and normal equilibrium equation.The solitary wave solution of the system was given by using C.R.Johnston direct approach which is simple and with high precision.关键词
C.R.Johnston直接法/弹性地基/充液粘弹性管/非线性波/孤立波Key words
C.R.Johnston direct approach/elastic foundation/fluid-filled viscoelastic tube/nonlinear wave/solitary wave分类
数理科学引用本文复制引用
周义清,张善元..C.R.Johnston直接法求解受弹性地基约束充液粘弹性管中的非线性波[J].中北大学学报（自然科学版）,2016,37(6):561-565,587,6.基金项目
国家自然科学基金资助项目(11402005,11202190) （11402005,11202190）
北京博士后科研经费资助项目(Q6001015201401) （Q6001015201401）
