The seismic performance of rubber concrete-layered periodic foundations are significantly influenced by their design,in which the band gaps play a paramount role.Aiming at providing better designs for these foundation...The seismic performance of rubber concrete-layered periodic foundations are significantly influenced by their design,in which the band gaps play a paramount role.Aiming at providing better designs for these foundations,this study first proposes and validates the analytical formulas to approximate the bounds of the first few band gaps.In addition,the mapping relations linking the frequencies of different band gaps are presented.Furthermore,an optimal design method for these foundations is developed,which is validated through an engineering example.It is demonstrated that ensuring the superstructure’s resonance zones are completely covered by the corresponding periodic foundation’s band gaps can achieve satisfactory vibration attenuation effects,which is a good strategy for the design of rubber concrete layered periodic foundations.展开更多
将连接阻尼器的对称双塔楼结构耦合为单个连接着Kelvin型阻尼器的2-DOF(degree of freedom)体系,推导了耦合结构体系的运动微分方程并基于能量最小原理求出了连接阻尼器的优化参数解析解。参数化分析表明结构各层频率比、质量比和刚度...将连接阻尼器的对称双塔楼结构耦合为单个连接着Kelvin型阻尼器的2-DOF(degree of freedom)体系,推导了耦合结构体系的运动微分方程并基于能量最小原理求出了连接阻尼器的优化参数解析解。参数化分析表明结构各层频率比、质量比和刚度比是影响阻尼器控制效果的重要参数。对于一个给定的对称双自由度体系,存在最优的Kelvin阻尼器阻尼参数解析解使得结构的位移峰值响应有最小值,同时从结构的自振特性也会影响结构最终的控制效果。最后,通过数值算例,分别讨论了塔楼多自由度体系在地震激励下的位移时程、结构振动能量和层间位移角,验证了该文所提Kelvin阻尼器优化参数解析表达式对控制带底盘对称双塔楼结构动力响应的有效性。展开更多
基金National Natural Science Foundation of China under Grant Nos.52078395 and 52178301the Open Projects Foundation of the State Key Laboratory for Health and Safety of Bridge Structures under Grant No.BHSKL19-07-GF+1 种基金the Dawn Program of Knowledge Innovation Project from the Bureau of Science and Technology of Wuhan Municipality under Grant No.2022010801020357the Science Research Foundation of Wuhan Institute of Technology under Grant No.K2021030。
文摘The seismic performance of rubber concrete-layered periodic foundations are significantly influenced by their design,in which the band gaps play a paramount role.Aiming at providing better designs for these foundations,this study first proposes and validates the analytical formulas to approximate the bounds of the first few band gaps.In addition,the mapping relations linking the frequencies of different band gaps are presented.Furthermore,an optimal design method for these foundations is developed,which is validated through an engineering example.It is demonstrated that ensuring the superstructure’s resonance zones are completely covered by the corresponding periodic foundation’s band gaps can achieve satisfactory vibration attenuation effects,which is a good strategy for the design of rubber concrete layered periodic foundations.
文摘将连接阻尼器的对称双塔楼结构耦合为单个连接着Kelvin型阻尼器的2-DOF(degree of freedom)体系,推导了耦合结构体系的运动微分方程并基于能量最小原理求出了连接阻尼器的优化参数解析解。参数化分析表明结构各层频率比、质量比和刚度比是影响阻尼器控制效果的重要参数。对于一个给定的对称双自由度体系,存在最优的Kelvin阻尼器阻尼参数解析解使得结构的位移峰值响应有最小值,同时从结构的自振特性也会影响结构最终的控制效果。最后,通过数值算例,分别讨论了塔楼多自由度体系在地震激励下的位移时程、结构振动能量和层间位移角,验证了该文所提Kelvin阻尼器优化参数解析表达式对控制带底盘对称双塔楼结构动力响应的有效性。
