高阶单步拟动力试验算法
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摘要
由于高阶单步法具有无条件稳定、优良的算法阻尼特性、无超越现象、截断误差为Δt5的特性,已成功地应用于结构地震非线性反应分析、主动半主动及智能振动控制、刚度解析表示的动力反应等分析。该文根据结构拟动力试验的特点,考虑到试验中系统所能达到的精度条件,引入等效剪切刚度的思想,提出了高阶单步拟动力试验算法。单自由度和两自由度数值模拟算例分析以及3层足尺拟动力试验结果,证实了算法的可行性和优越性。
Due to the characteristics of unconditionally stable, good algorithm damping properties, no transcendental phenomenon, and Δt 5of truncation error, the high order single-step method had been successfully applied in nonlinear seismic response analysis and vibration controls. Based on the characteristics of the pseudo-dynamic testing and taking into account the permissible system accuracy, this paper introduces the concept of equivalent shear stiffness, and proposes the high order single-step algorithm of pseudo-dynamic testing. The feasibility and advantages of this algorithm are demonstrated by a comparison between numerical simulation results of the SDOF and 2 DOF structure with those of the three-level full-scale testing.
Due to the characteristics of unconditionally stable, good algorithm damping properties, no transcendental phenomenon, and Δt 5of truncation error, the high order single-step method had been successfully applied in nonlinear seismic response analysis and vibration controls. Based on the characteristics of the pseudo-dynamic testing and taking into account the permissible system accuracy, this paper introduces the concept of equivalent shear stiffness, and proposes the high order single-step algorithm of pseudo-dynamic testing. The feasibility and advantages of this algorithm are demonstrated by a comparison between numerical simulation results of the SDOF and 2 DOF structure with those of the three-level full-scale testing.
引文
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[10]李进,王焕定,张永山.高阶单步实时动力子结构试验技术研究[J].地震工程与工程振动,2005,25(1):97―101.Li Jin,Wang Huanding,Zhang Yongshan.The research of a high order single step method for real-time sub-structure testing[J].Earthquake Engineering and Engineering Vibration,2005,25(1):97―101.(in Chinese)
[11]崔雪娜,王焕定.刚度解析表达时高阶单步法的研究[J].地震工程与工程振动,2006,26(4):63―67.Cui Xuena,Wang Huanding.Research on a high order single step method for analytic expression of stiffness[J].Earthquake Engineering and Engineering Vibration,2006,26(4):63―67.(in Chinese)
[12]李暄,刘季,田石柱.结构拟动力试验力控制实现技术[J].地震工程与工程振动,1997,17(1):49―53.Li Xuan,Liu Ji,Tian Shizhu.Structural pseudo-dynamic testing technology by force control[J].Earthquake Engineering and Engineering Vibration,1997,17(1):49―53.(in Chinese)
[2]邱法维,钱镓茹,陈志鹏.结构抗震实验方法[M].北京:北京科学出版社,2000.Qiu Fawei,Qian Jiaru,Chen Zhipeng.Seismic test methodology for structures[M].Beijing:Beijing Science Press,2000.(in Chinese)
[3]邱法维.拟动力实验中的数值积分方法[J].哈尔滨建筑工程学院学报,1994,27(3):120―127.Qiu Fawei.Numerical integration algorithm in pseudo-dynamic testing[J].Journal of Harbin Architecture and Civil Engineering Institude,1994,27(3):120―127.(in Chinese)
[4]邱法维.隐式时间积分方法的拟动力实验[J].世界地震工程,1995(3):44―48.Qiu Fawei.Implicit time integration scheme for pseudo-dynamic testing[J].World Earthquake Engineering,1995(3):44―48.(in Chinese)
[5]邱法维.无条件稳定数值积分方法在拟动力实验中的应用研究[J].实验力学,1997,12(4):579―586.Qiu Fawei.Application of an unconditionally stable numeral integration algorithm in pseudo-dynamic testing[J].Journal of Experimental Mechanics,1997,12(4):579―586.(in Chinese)
[6]王焕定,张永山,王伟.非线性结构时程分析的高阶单步法[J].地震工程与工程振动,1996,16(3):48―54.Wang Huanding,Zhang Yongshan,Wang Wei.The high order single step method for seismic response analysis of non-linear structures[J].Earthquake Engineering and Engineering Vibration,1996,16(3):48―54.(in Chinese)
[7]王伟,张永山,王焕定.结构主动控制的一种瞬时最优算法[J].哈尔滨建筑大学学报,2000,33(3):11―13.Wang Wei,Zhang Yongshan,Wang Huanding.An instantaneous optimal algorithm for structural active control[J].Journal of Harbin University of Civil Engineering and Architecture,2000,33(3):11―13.(in Chinese)
[8]耿淑伟,王焕定,王伟.主动控制中的高阶单步时滞修正算法[J].地震工程与工程振动,1998,18(1):271―273.Geng Shuwei,Wang Huanding,Wang Wei.The high order single step time delay compensation algorithm of the structural active control[J].Earthquake Engineering and Engineering Vibration,1998,18(1):271―273.(in Chinese)
[9]王伟,王焕定,耿淑伟.高阶单步时滞修正算法主动控制实验研究[J].地震工程与工程震动,1999,19(3):106―108.Wang Wei,Wang Huanding,Geng Shuwei.High order single step time-delay compensation method in active control experiment[J].Earthquake Engineering and Engineering Vibration,1999,19(3):106―108.(inChinese)
[10]李进,王焕定,张永山.高阶单步实时动力子结构试验技术研究[J].地震工程与工程振动,2005,25(1):97―101.Li Jin,Wang Huanding,Zhang Yongshan.The research of a high order single step method for real-time sub-structure testing[J].Earthquake Engineering and Engineering Vibration,2005,25(1):97―101.(in Chinese)
[11]崔雪娜,王焕定.刚度解析表达时高阶单步法的研究[J].地震工程与工程振动,2006,26(4):63―67.Cui Xuena,Wang Huanding.Research on a high order single step method for analytic expression of stiffness[J].Earthquake Engineering and Engineering Vibration,2006,26(4):63―67.(in Chinese)
[12]李暄,刘季,田石柱.结构拟动力试验力控制实现技术[J].地震工程与工程振动,1997,17(1):49―53.Li Xuan,Liu Ji,Tian Shizhu.Structural pseudo-dynamic testing technology by force control[J].Earthquake Engineering and Engineering Vibration,1997,17(1):49―53.(in Chinese)
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