TY  - EJOU
AU  - Zhang, Xingwu  
AU  - Liu, Jixuan  
AU  - Chen, Xuefeng  
AU  - Yang, Zhibo  

TI  - MultivariableWavelet Finite Element for Plane Truss Analysis
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2015
VL  - 109-110
IS  - 5
SN  - 1526-1506

AB  - Plane truss is widely used in mechanical engineering, building engineering and the aerospace engineering et al.. The precisely analysis of plane truss is very important for structural design and damage detection. Based on the generalized variational principle and B spline wavelet on the interval (BSWI), the multivariable wavelet finite element for plane truss is constructed. First, the wavelet axial rod element and the multivariable wavelet Euler beam element are constructed. Then the multivariable plane truss element can be obtained by combining these two elements together. Comparing with the traditional method, the generalized displacement and stress are treated as independent variables in multivariable method, so differentiation and integration are avoided in calculation, the efficiency and precision can be improved. Furthermore, compared with commonly used Daubechies wavelet, BSWI has explicit expression and excellent approximation property, which further guarantees satisfactory results. The efficiency of the constructed multivariable wavelet elements is validated through several numerical examples in the end.
KW  - Multivariable
KW  -  B-spline wavelet on the interval
KW  -  Axial rod
KW  -  Euler beam
KW  -  Plane truss

DO  - 10.3970/cmes.2015.109.405