基于减震比设计方法的惯容减震结构分析
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摘要
该研究基于能量方法分析了典型惯容系统能量耗散和结构减震控制的特点,以混联I型惯容系统(SPIS-I)为例说明该方法。首先推导出SPIS-I在白噪声激励下配置该系统的单自由度结构随机响应解,然后定义惯容系统耗能系数来衡量其耗能效果和减震性能。基于目标减震比的惯容系统参数设计方法,在相同目标减震比的设计条件下,对典型惯容系统进行参数设计,采用能量方法进行了参数分析。最后,通过典型算例验证了参数分析所得到的结果。研究结果表明:基于相同目标减震比设计的惯容系统,均能够有效地耗散结构振动能量。当目标减震比较大时,不同力学模式的惯容系统的耗能效率接近,受惯容系统力学模式的影响较小;当目标减震比较小时,建议采用混联型惯容系统以实现更显著的能量耗散效果。
In this study, the characteristics of energy dissipation and vibration mitigation effect of classical inerter systems are studied through the energy analysis method. The series-parallel I inerter system(SPIS-I) is taken as an example to illustrate the method. The stochastic response formula for the single-degree-of-freedom structure with SPIS-I is derived under white noise excitation. The energy dissipation coefficient of the inerter system is defined to measure its energy dissipation and vibration mitigation effects. Using the response mitigation ratio-based design method, classical inerter systems are designed under the same target response mitigation ratio.Parametric analysis is conducted using the energy analysis method. The results obtained by the parametric analysis are verified by classical examples. The research results show that different inerter systems designed under the same target response mitigation ratio can effectively dissipate the structural energy. In the condition of the large target response mitigation ratio, the energy dissipation efficiencies of different inerter systems are similar,which are slightly influenced by the mechanical layout of the inerter system. When the response mitigation ratio is small, it is recommended to use an inerter system of series-parallel layout for more effective energy dissipation.
In this study, the characteristics of energy dissipation and vibration mitigation effect of classical inerter systems are studied through the energy analysis method. The series-parallel I inerter system(SPIS-I) is taken as an example to illustrate the method. The stochastic response formula for the single-degree-of-freedom structure with SPIS-I is derived under white noise excitation. The energy dissipation coefficient of the inerter system is defined to measure its energy dissipation and vibration mitigation effects. Using the response mitigation ratio-based design method, classical inerter systems are designed under the same target response mitigation ratio.Parametric analysis is conducted using the energy analysis method. The results obtained by the parametric analysis are verified by classical examples. The research results show that different inerter systems designed under the same target response mitigation ratio can effectively dissipate the structural energy. In the condition of the large target response mitigation ratio, the energy dissipation efficiencies of different inerter systems are similar,which are slightly influenced by the mechanical layout of the inerter system. When the response mitigation ratio is small, it is recommended to use an inerter system of series-parallel layout for more effective energy dissipation.
引文
[1] Zhang R F,Zhao Z P, Dai K. Seismic response mitigation of a wind turbine tower using a tuned parallel inerter mass system[J]. Engineering Structures, 2019,180:29-39.
[2] Chen Q J, Zhao Z P, Zhang R F, et al. Impact of soil-structure interaction on structures with inerter system[J]. Journal of Sound and Vibration, 2018, 433:1-15.
[3] Zhang R F, Zhao Z P, Pan C. Influence of mechanical layout of inerter systems on seismic mitigation of storage tanks[J]. Soil Dynamics and Earthquake Engineering,2018, 114:639-649.
[4] Pan C, Zhang RF, Luo H, et al. Demand-based optimal design of oscillator with parallel-layout viscous inerter damper[J]. Structural Control and Health Monitoring,2018, 25(1):e2051.
[5] Kawamata S. Development of a vibration control system of structures by means of mass pumps[R]. Tokyo:Institute of Industrial Science, University of Tokyo,1973.
[6] Smith M C. Synthesis of mechanical networks:the inerter[J]. IEEE Transactions on Automatic Control,2002, 47(10):1648-1662.
[7] Ikago K, Saito K,Inoue N. Seismic control of single-degree-of-freedom structure using tuned viscous mass damper[J]. Earthquake Engineering and Structural Dynamics,2012, 41(3):453-474.
[8] Pan C, Zhang R F. Design of structure with inerter system based on stochastic response mitigation ratio[J].Structural Control and Health Monitoring, 2018, 25(6):e2169.
[9]罗浩,张瑞甫,翁大根,等.一种旋转黏滞质量阻尼器对结构响应的控制研究[J].防灾减灾工程学报,2016,36(2):295-301.Luo Hao, Zhang Ruifu, Weng Dagen, et al. Study of a series viscous mass damper in the control of structural response[J]. Journal of Disaster Preventation and Mitigation Engineering, 2016, 36(2):295-301.(in Chinese)
[10] Lazar I F, Neild S A, Wagg D J. Vibration suppression of cables using tuned inerter dampers[J]. Engineering Structures, 2016, 122:62-71.
[11]张瑞甫.储液罐地震响应控制研究[R].上海:同济大学,2014.Zhang Ruifu. Seismic response control of storage tank[R]. Shanghai:Tongji University, 2014.(in Chinese)
[12]李超,张瑞甫,赵志鹏,等.调谐黏滞质量阻尼器基于遗传算法的参数优化研究[J].结构工程师,2016,32(4):124-131.Li Chao, Zhang Ruifu, Zhao Zhipeng, et al. Optimum study of tuned viscous mass dampers based on genetic algorithm[J]. Structural Engineers, 2016, 32(4):124-131.(in Chinese)
[13] Luo H, Zhang R F, Weng D G. Mitigation of liquid sloshing in storage tanks by using a hybrid control method[J]. Soil Dynamics and Earthquake Engineering,2016, 90:183-195.
[14]克拉夫R,彭津J.结构动力学[M].北京:高等教育出版社,2006:27-48.Clough R, Penzien J. Dynamic of structures[M]. Beijing:Higher Education Press, 2006:27-48.(in Chinese)
[2] Chen Q J, Zhao Z P, Zhang R F, et al. Impact of soil-structure interaction on structures with inerter system[J]. Journal of Sound and Vibration, 2018, 433:1-15.
[3] Zhang R F, Zhao Z P, Pan C. Influence of mechanical layout of inerter systems on seismic mitigation of storage tanks[J]. Soil Dynamics and Earthquake Engineering,2018, 114:639-649.
[4] Pan C, Zhang RF, Luo H, et al. Demand-based optimal design of oscillator with parallel-layout viscous inerter damper[J]. Structural Control and Health Monitoring,2018, 25(1):e2051.
[5] Kawamata S. Development of a vibration control system of structures by means of mass pumps[R]. Tokyo:Institute of Industrial Science, University of Tokyo,1973.
[6] Smith M C. Synthesis of mechanical networks:the inerter[J]. IEEE Transactions on Automatic Control,2002, 47(10):1648-1662.
[7] Ikago K, Saito K,Inoue N. Seismic control of single-degree-of-freedom structure using tuned viscous mass damper[J]. Earthquake Engineering and Structural Dynamics,2012, 41(3):453-474.
[8] Pan C, Zhang R F. Design of structure with inerter system based on stochastic response mitigation ratio[J].Structural Control and Health Monitoring, 2018, 25(6):e2169.
[9]罗浩,张瑞甫,翁大根,等.一种旋转黏滞质量阻尼器对结构响应的控制研究[J].防灾减灾工程学报,2016,36(2):295-301.Luo Hao, Zhang Ruifu, Weng Dagen, et al. Study of a series viscous mass damper in the control of structural response[J]. Journal of Disaster Preventation and Mitigation Engineering, 2016, 36(2):295-301.(in Chinese)
[10] Lazar I F, Neild S A, Wagg D J. Vibration suppression of cables using tuned inerter dampers[J]. Engineering Structures, 2016, 122:62-71.
[11]张瑞甫.储液罐地震响应控制研究[R].上海:同济大学,2014.Zhang Ruifu. Seismic response control of storage tank[R]. Shanghai:Tongji University, 2014.(in Chinese)
[12]李超,张瑞甫,赵志鹏,等.调谐黏滞质量阻尼器基于遗传算法的参数优化研究[J].结构工程师,2016,32(4):124-131.Li Chao, Zhang Ruifu, Zhao Zhipeng, et al. Optimum study of tuned viscous mass dampers based on genetic algorithm[J]. Structural Engineers, 2016, 32(4):124-131.(in Chinese)
[13] Luo H, Zhang R F, Weng D G. Mitigation of liquid sloshing in storage tanks by using a hybrid control method[J]. Soil Dynamics and Earthquake Engineering,2016, 90:183-195.
[14]克拉夫R,彭津J.结构动力学[M].北京:高等教育出版社,2006:27-48.Clough R, Penzien J. Dynamic of structures[M]. Beijing:Higher Education Press, 2006:27-48.(in Chinese)