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

• Published in: Acta mechanica Sinica Vol. 29; no. 5; pp. 699 - 708
• Main Authors: Xu, Qiang, Chen, Jian-Yun, Li, Jing, Xu, Gang, Yue, Hong-Yuan
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2013
• Subjects: B样条小波; Classical and Continuum Physics; Computational Intelligence; Dynamic loads; Engineering; Engineering Fluid Dynamics; Research Paper; Theoretical and Applied Mechanics; 二维有限元; 地基模型; 基础; 多尺度分析; 有限元法; 有限元素; 缩放功能; Dynamic response; Finite-element method; B-spline wavelet on the interval; Multi-scale analysis
• ISSN: 0567-7718; 1614-3116
• DOI: 10.1007/s10409-013-0075-5

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.