基于遗传算法的相邻结构优化阻尼分布研究
|
摘要
采用在双体单自由度结构间设立Maxwell型非线性被动控制单元的最优参数表达式,并基于等效双体单自由度体系求得了相邻结构间阻尼器优化零频率阻尼系数与松弛时间。运用实数编码的遗传算法求解了等式约束条件下非线性规划问题,避免了使用罚函数,确定了相邻结构间优化阻尼分布。通过数值分析表明了优化算法的有效性。
The optimal parameter expression of the Maxwell model-defined element is adopted and which is used to interconnect two single-degree-of-freedom systems for the nonlinear passive control.The optimal relaxation time and optimal damping coefficient at zero frequency of controller is obtained based on the two equivalent single degree of freedom systems.The Genetic Algorithm with real number code is used to solve nonlinear programming problem with equality constraints,avoids the use of the penalty function and determine the optimal distribution of damping.The numerical results prove the validity of the algorithm.
The optimal parameter expression of the Maxwell model-defined element is adopted and which is used to interconnect two single-degree-of-freedom systems for the nonlinear passive control.The optimal relaxation time and optimal damping coefficient at zero frequency of controller is obtained based on the two equivalent single degree of freedom systems.The Genetic Algorithm with real number code is used to solve nonlinear programming problem with equality constraints,avoids the use of the penalty function and determine the optimal distribution of damping.The numerical results prove the validity of the algorithm.
引文
[1]Zhu H P,Xu Y L.Optimum Parameters of Maxwell Model-defined Dampers Used to Link Adjacent Structures[J].Journal of Sound and Vibration,2005,279(2):253-274.
[2]Christenson R E,Spencer B F,Johnson E A,et al.Coupled Building Control Considering the Effects of Building/Connector Configuration[J].Journal of Structural Engineering,2001,132(6):853-863.
[3]Christenson R E,Johnson E A.Semiactive Connected Control Method for Adjacent Multidegree-of-Freedom Buildings[J].Journal of Engineering Mechanics.2007,133(3):290-298.
[4]Zhang W S,Xu Y L.Vibration Analysis of Two Buildings Linked by Maxwell Model-defined Fluid Dampers[J].Journal of Sound and Vibration,2000,233(5):775-796.
[5]Tsujim Nakamurat.Optimum Viscous Dampers for Stiffness Design of Shear Buildings[J].The Structure Design of Tall Buildings,1996,5(3):217-234.
[6]周星德,彭宣茂.基于遗传算法的建筑结构最优阻尼研究[J].计算力学学报,2005,22(6):780-784.
[7]Singh M P,Moreschi L M.Optimal Placement of Dampers for Passive Response Control[J].Earthquake Engineering and Structural Dynamics,2002,(31):955-976.
[8]Hatada T,Kobori T,Ishida M,et al.Dynamic Analysis of Structure with Maxwell Model[J].Earthquake Engineering and Structural Dynamics,2000,(29):159-176.
[9]Yang J N,Lin S.Optimal Design of Passive Energy Dissipation Systems based on H∞and H2 Performances[J].Earthquake Engineering and Structural Dynamics,2002,31:921-936.
[10]刘季,周永程,雷立宏.结构主动控制AMD系统分析及其优化设计[J].地震工程与工程振动,1996,16(3):55-60.
[2]Christenson R E,Spencer B F,Johnson E A,et al.Coupled Building Control Considering the Effects of Building/Connector Configuration[J].Journal of Structural Engineering,2001,132(6):853-863.
[3]Christenson R E,Johnson E A.Semiactive Connected Control Method for Adjacent Multidegree-of-Freedom Buildings[J].Journal of Engineering Mechanics.2007,133(3):290-298.
[4]Zhang W S,Xu Y L.Vibration Analysis of Two Buildings Linked by Maxwell Model-defined Fluid Dampers[J].Journal of Sound and Vibration,2000,233(5):775-796.
[5]Tsujim Nakamurat.Optimum Viscous Dampers for Stiffness Design of Shear Buildings[J].The Structure Design of Tall Buildings,1996,5(3):217-234.
[6]周星德,彭宣茂.基于遗传算法的建筑结构最优阻尼研究[J].计算力学学报,2005,22(6):780-784.
[7]Singh M P,Moreschi L M.Optimal Placement of Dampers for Passive Response Control[J].Earthquake Engineering and Structural Dynamics,2002,(31):955-976.
[8]Hatada T,Kobori T,Ishida M,et al.Dynamic Analysis of Structure with Maxwell Model[J].Earthquake Engineering and Structural Dynamics,2000,(29):159-176.
[9]Yang J N,Lin S.Optimal Design of Passive Energy Dissipation Systems based on H∞and H2 Performances[J].Earthquake Engineering and Structural Dynamics,2002,31:921-936.
[10]刘季,周永程,雷立宏.结构主动控制AMD系统分析及其优化设计[J].地震工程与工程振动,1996,16(3):55-60.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心