楔形变截面钢-混凝土组合梁弯曲和自由振动的求积元分析

基于改进的Newmark组合梁模型和平面应力模型分别建立考虑界面滑移的楔形变截面钢-混凝土组合梁的一维和二维求积元单元。对组合梁的弯曲、自由振动问题进行计算分析，将两类单元的计算结果进行比较和讨论。结果表明，对于工程结构中常见的楔形变截面组合梁的弯曲问题，可以采用自由度较少，计算成本较低的一维模型；对于自由振动问题，一维模型可以较为准确地描述一阶振动模态；若需对高阶振动模态进行分析，可选用更为准确的二维模型。
Quadrature element formulations for tapered partially steel-concrete composite beams were established based on the Newmark model and the plane stress model respectively. Deformation of tapered partially composite beams under distributed loading and free vibrational problems with two representative boundary conditions were examined. It is shown that for slender and slightly tapered composite beams common in engineering the proposed 1D quadrature element model is effective enough for flexural and fundamental frequency analysis. Moreover, the 2D quadrature element model is capable of providing better results when needed.