基于复阻尼模型的时域数值计算方法被引量：5

The time-domain numerical calculation method based on complex damping model

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摘要复阻尼模型的时域运动方程通解中包含有发散项,导致传统的逐步积分法计算结果不能稳定收敛。为克服该缺点,引入地震加速度在时间步长内是线性变化的假定,利用复化对偶原则,提出了复阻尼模型的时域数值计算方法,可在时间步长内剔除发散项,保证了时域计算结果的稳定收敛。在此基础上,结合模态叠加法,进一步提出了多自由度体系的时域数值方法。算例分析表明:复阻尼模型的时域数值计算结果与谐波作用下时域解析算法、地震动作用下频域法的计算结果近似相等,证明了方法的正确性;对于钢筋混凝土框架结构,复阻尼模型的时域计算结果与黏性阻尼模型近似相等。 The general solutions of time domain motion equation based on complex damping model include divergent items. So the calculation results are not stably convergent by the traditional step-by-step integration method. In order to overcome its shortcomings, it is assumed that the relationship of earthquake acceleration is linear in the time step. Based on complex dual principle, the time-domain numerical method based on complex damping model is put forward. In the time step, the divergent items are removed. It can ensure that the time-domain calculation results are stably convergent. On this basis, combining with the modal superposition method, the time-domain numerical method of multi degree of freedom system is also put forward. The cases show that the calculation results of time-domain numerical method based on complex damping model and time-domain analytical algorithm are approximately equal under harmonic wave. The calculation results of time-domain numerical method based on complex damping model and frequency-domain based on complex damping model are also approximately equal under seismic wave. The correctness of the proposed method is confirmed. For reinforced concrete frame, the time-domain calculation results of the complex damping model and the viscous damping model are approximately equal.

作者孙攀旭杨红赵雯桐刘庆林 SUN Panxu;YANG Hong;ZHAO Wentong;LIU Qinglin(School of Civil Engineering, Chongqing University, Chongqing 400045, China;Key Laboratory of New Technology for Construction of Cities in Mountain Area of the Ministry of Education, Chongqing University, Chongqing 400045, China;School of Traffic and Engineering, Shenzhen Institute of Information Technology, Shenzhen 518172, China)

机构地区重庆大学土木工程学院重庆大学山地城镇建设与新技术教育部重点实验室深圳信息职业技术学院交通与环境学院

出处《地震工程与工程振动》 CSCD 北大核心 2019年第2期203-212,共10页 Earthquake Engineering and Engineering Dynamics

基金国家重点研发计划项目(2016YFC0701506) 重庆市研究生科研创新项目(CYB18036)~~

关键词复阻尼时域数值方法稳定收敛模态叠加 complex damping time-domain numerical calculation method stably convergent mode superposition

分类号 TU311.3 [建筑科学—结构工程]