利用力的平衡原理及变形协调条件,在Euler梁和Timoshenko梁理论基础上,分别建立3种钢-混凝土组合梁动力学模型,通过推导相应动力学方程,编制计算分析程序,计算组合梁模型的弯曲振动频率、振型以及在各种动力荷载工况下的动力响应,并与ANSYS模拟结果进行比较分析,验证各种计算模型的合理性,讨论界面滑移、竖向掀起及剪切变形对组合连续梁振动特性和动力响应的影响程度。研究结果表明:考虑界面滑移和剪切变形影响时,组合梁自振频率明显降低,动力响应显著增大,而是否考虑竖向掀起对组合梁自振频率和动力响应均无明显影响;综合考虑3种因素影响的组合连续梁模型所得结果与ANSYS分析结果最符合,并能较好地模拟钢-混凝土组合连续梁的动力性能。
Based on the Euler and Timoshenko beam theories,three models were established considering the surface slip,vertical uplift,and shear deformation effects.The vibration equations were derived by means of force equilibrium and deformation compatibility of deformation conditions.Corresponding programs were developed,and free vibration frequencies and modes of composite continuous beam were obtained,as well as dynamic responses under different dynamic loads.The results were verified by comparing with ANSYS simulation results.The influences of interface slip,vertical uplift and shear deformation effects on dynamic characteristics and responses were discussed.The results show that the free vibration frequencies of composite continuous beam reduce obviously and the dynamic responses increase significantly when the effects of interface slip and shear deformation are considered;whether taking vertical uplift into account or not,there is no significant influence on the free vibration frequencies and dynamic responses of composite continuous beam;the results of the model considering the three factors synthetically agree well with the ANSYS analysis results.Therefore,the model considering the three factors synthetically can simulate dynamic behavior of steel-concrete composite continuous beams better than the other two models.