Analytical element for compressive bar considering flexural displacement
1. College of Water Resources ＆ Civil Engineering, China Agricultural University, Beijing 100083, China; 2. Shanghai Construction Design ＆ Research Institute Co., Ltd., Shanghai 200235, China
Abstract：The element for compressive bar was constructed to deal with the stability problems by analytical shape function. Considering the second order effect, the equilibrium differential governing equation of compressive bar was established, and the corresponding displacement shape functions were derived and expressed by node displacement. The potential energy functional expression for compressive bar element was developed by potential energy principle and analytical shape function. Considering the effect of flexural displacement, the elastic and geometrical stiffness matrices were proposed through the variation of total potential energy. To verify the precision of the proposed element, the numerical comparisons were conducted among the interpolation shape function method, the direct stiffness method and the analytical shape function method. The results show that the proposed element has high calculation precision and efficiency.
2019, Vol. 40 
