摘要
为解决基于Davis假定的低频循环荷载作用下一维固结微分方程因具有非线性特点而难以求得解析解的问题,开展该问题的数值计算方法研究,首先利用变量代换将低频循环荷载作用下一维固结微分方程转换为扩散方程,再在控制体积上先做积分后做差分建立隐式有限体积法格式,最后与半解析解进行对比验证。研究结果表明:该有限体积格式计算结果与半解析解计算结果吻合,能够较好求解低频循环荷载作用下一维非线性固结问题。
The one-dimensional consolidation differential equation,based on Davis＇ s hypothesis,is non-liner and difficult to solve.The numerical method was employed to solve this problem more efficiently.The differential equation was firstly transformed into the diffusion equation using variable substitution.And the implicit finite volume scheme was established by first integral posterior differential on the control volume.Finally,finite volume method solutions were compared with the semi-analytical solutions.The results of finite volume method were close to semi-analytical result,which indicated that the finite volume method solutions can better solve one-dimensional nonlinear consolidation problem under low-frequency cyclic loading.
出处
《中国科技论文》
CAS
北大核心
2018年第1期27-30,36,共5页
China Sciencepaper
基金
中央高校基本科研业务费专项资金资助项目(310829161011)
关键词
Davis假定
低频循环荷载
一维固结
有限体积法
Davis’ hypothesis
low-frequency cyclic loading
one-dimensional consolidation
finite volumemethod
