Study on spline wavelet finite-element method in multi-scale analysis for foundation  

作　　者：Qiang Xu Jian-Yun Chen Jing Li Gang Xu Hong-Yuan Yue 

机构地区：[1]School of Civil and Hydraulic Eng.,Dalian University of Technology [2]Plan and Design Institute of Daqing Oilfield Commmunication Company

出　　处：《Acta Mechanica Sinica》2013年第5期699-708,共10页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (51109029,51178081,51138001,and 51009020);the State Key Development Program for Basic Research of China (2013CB035905)

摘　　要：A new finite element method （FEM） of B-spline wavelet on the interval （BSWI） is proposed. Through analyzing the scaling functions of BSWI in one dimension, the basic formula for 2D FEM of BSWI is deduced. The 2D FEM of 7 nodes and 10 nodes are constructed based on the basic formula. Using these proposed elements, the multiscale numerical model for foundation subjected to harmonic periodic load, the foundation model excited by external and internal dynamic load are studied. The results show the pro- posed finite elements have higher precision than the tradi- tional elements with 4 nodes. The proposed finite elements can describe the propagation of stress waves well whenever the foundation model excited by extemal or intemal dynamic load. The proposed finite elements can be also used to con- nect the multi-scale elements. And the proposed finite elements also have high precision to make multi-scale analysis for structure.A new finite element method （FEM） of B-spline wavelet on the interval （BSWI） is proposed. Through analyzing the scaling functions of BSWI in one dimension, the basic formula for 2D FEM of BSWI is deduced. The 2D FEM of 7 nodes and 10 nodes are constructed based on the basic formula. Using these proposed elements, the multiscale numerical model for foundation subjected to harmonic periodic load, the foundation model excited by external and internal dynamic load are studied. The results show the pro- posed finite elements have higher precision than the tradi- tional elements with 4 nodes. The proposed finite elements can describe the propagation of stress waves well whenever the foundation model excited by extemal or intemal dynamic load. The proposed finite elements can be also used to con- nect the multi-scale elements. And the proposed finite elements also have high precision to make multi-scale analysis for structure.

关 键 词：Finite-element method Dynamic response B-spline wavelet on the interval Multi-scale analysis 

分 类 号：O241.82[理学—计算数学] O346.1[理学—数学]