中文摘要：

借鉴框-剪结构分析方法，基于协同工作原理，考虑混凝土梁与核心筒间刚域、混凝土核心筒的剪切变形、钢框架轴向变形以及钢柱与混凝土梁的半刚性连接的影响，建立了含刚度特征值的混合结构变形曲线方程。再将混合结构视为连续弹性无限自由度结构，建立自由振动微分方程，推导了混合结构的自振周期公式。通过图表分析了与刚度特征值有关的自振周期系数中各参数的影响。结果表明，刚域的存在减小了结构自振周期，核心筒剪切变形、钢框架轴向变形及梁柱半刚性连接使自振周期增大。

英文摘要：

Based on the principle of interactive analysis,the deformation equation of hybrid structure which contains rigid character value is established using the analysis of the frame - shear wall structure for reference, considering the rigid zone between concrete beam and concrete - tube, the shear deformation of concrete - tube, axial deformation of steel frames and semi - rigid connection between steel columns and concrete beams. Assuming the hybrid structure to be a continuous elastic structure with infinite degree of freedom, a free vibration equation has been built and the formula for calculating free vibration period has been deduced. The influences of various parameters to the coefficient of free vibration period relating to rigid character value are discussed according to some diagrams. It is shown that the rigid zone can lessen the free vibration period but the shear deformation of concrete - tube, axial deformation of steel frames, and the semi -rigid connection between steel columns and concrete beams can enhance the free vibration period.