考虑弯扭耦合的空间薄壁截面梁单元刚度矩阵

Element Stiffness Matrix of Spatial Thin-Walled Beams Considering the Coupling of Flexure and Torsion

以Bernoulli-Euler梁理论和Vlasov薄壁杆件理论为基础,通过设置单元内部结点,对弯曲转角和翘曲角采取独立插值的方法,建立了可考虑横向剪切变形、弯曲和扭转的耦合及翘曲剪应力等因素影响的空间薄壁截面梁有限元模型.算例表明本文所建立的模型具有很好的精度,满足工程应用.

Based on Bernoulli-Euler＇ s beam theory and Vlasov＇ s thin-walled member principle, and through setting a interior node to the element and independent interpolation of bending angle and warp, a new thin-walled beam element is developed, where effects such as traverse shear deformation,coupling of flexure and torsion, and warp shear stress are taken into consideration. Examples demon-strate that the new element model is of high accuracy and can be applied in the engineering.