非线性建筑结构振动控制研究
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摘要
为了反映建筑结构的非线性特征,本文引入了bouc-wen模型。由于所采用的非线性模型很难降阶,同时考虑到直接对模型进行控制器设计也很难,为此,本文提出了一种基于能量的新的振动主动控制策略。该方法是通过比较允许能量与实际能量来确定结构控制力的大小,而其方向是通过对能量求导确定。由于不需要求解线性矩阵不等式,所以计算简单,操作方便。并且当采用同样容量限的多个作动器时,控制输出力一致,从而避免设计多个控制系统,简化了控制器设计。此外,由于采用阶跃控制,控制系统便于实现。最后,以八层建筑物为例来说明本文方法的可行性。
To reflect the nonlinear characteristic of building structures, the bouc-wen model is introduced, but it is difficult to reduce the model order and design the controller for the nonlinear model. A new strategy for vibration active control based on energy is proposed, where the amplitude of control force is derived by comparing permitting energy with actual energy, and whose direction is determined by the energy derivative. The proposed method takes the advantages of simple calculation and convenient operation as it is unnecessary to solving the linear matrix inequalities(LMIs). The output control forces are identical if the used actuators are endowed with the same capacity limitation to simplify the design of controllers and avoid multi control system. And the step function is adopted as the control function to facilitate constructing the control system. An example of 6-storey building is simulated to verify feasibility of the proposed method.
To reflect the nonlinear characteristic of building structures, the bouc-wen model is introduced, but it is difficult to reduce the model order and design the controller for the nonlinear model. A new strategy for vibration active control based on energy is proposed, where the amplitude of control force is derived by comparing permitting energy with actual energy, and whose direction is determined by the energy derivative. The proposed method takes the advantages of simple calculation and convenient operation as it is unnecessary to solving the linear matrix inequalities(LMIs). The output control forces are identical if the used actuators are endowed with the same capacity limitation to simplify the design of controllers and avoid multi control system. And the step function is adopted as the control function to facilitate constructing the control system. An example of 6-storey building is simulated to verify feasibility of the proposed method.
引文
[1]胡海岩,郭大蕾.振动半主动控制技术的进展[J].振动、测试与诊断,2001,21(4):235-244.
[2]Wu J C,Yang J N.Modified sliding mode control for wind-ex-cited benchmark problem[J].ASCEJournal of Engineering Me-chanics,2004,130(4):499-504.
[3]Kevin K F,Yang R.Predictiveinstantaneous opti mal control of inelastic structures during earthquakes[J].Earthquake Engi-neering and Structural Dynamics,2003,32(14):2179-2195.
[4]Pham K D,Jin G,Sain MK,et al.Generalizedlinear quadratic Gaussian techniques for the wind benchmark problem[J].ASCE Journal of Engineering Mechanics,2004,130(4):466-470.
[5]蔡国平,孙峰,王超.建筑结构振动优化混合控制[J].工程力学,2000,17(2):129-133.
[6]Matthies H G,Meyer M.Nonlinear Galerkin methods for the model reduction of nonlinear dynamical systems.Computer and Structures,2003,81:1277-1286.
[7]潘颖,王超,陈建斌.基于Liapunov理论的结构非线性振动的混合控制[J].应用力学学报,2003,20(4):46-49.
[8]Antonio D,Marco L.An energy-based control for an n-H-bridges multilevel active rectifier[J].IEEE Transactions on In-dustrial Electronics,2005,52(3):670-678.
[9]涂文戈,邹银生.基于能量方程的建筑结构半主动控制[J].地震工程与工程振动,2005,25(3):145-151.
[10]Min K W,Hwang J S.Probabilistic approach for active control based on structural energy[J].Earthquake Engineering and Structural Dynamics,2003,32:2301-2318.
[2]Wu J C,Yang J N.Modified sliding mode control for wind-ex-cited benchmark problem[J].ASCEJournal of Engineering Me-chanics,2004,130(4):499-504.
[3]Kevin K F,Yang R.Predictiveinstantaneous opti mal control of inelastic structures during earthquakes[J].Earthquake Engi-neering and Structural Dynamics,2003,32(14):2179-2195.
[4]Pham K D,Jin G,Sain MK,et al.Generalizedlinear quadratic Gaussian techniques for the wind benchmark problem[J].ASCE Journal of Engineering Mechanics,2004,130(4):466-470.
[5]蔡国平,孙峰,王超.建筑结构振动优化混合控制[J].工程力学,2000,17(2):129-133.
[6]Matthies H G,Meyer M.Nonlinear Galerkin methods for the model reduction of nonlinear dynamical systems.Computer and Structures,2003,81:1277-1286.
[7]潘颖,王超,陈建斌.基于Liapunov理论的结构非线性振动的混合控制[J].应用力学学报,2003,20(4):46-49.
[8]Antonio D,Marco L.An energy-based control for an n-H-bridges multilevel active rectifier[J].IEEE Transactions on In-dustrial Electronics,2005,52(3):670-678.
[9]涂文戈,邹银生.基于能量方程的建筑结构半主动控制[J].地震工程与工程振动,2005,25(3):145-151.
[10]Min K W,Hwang J S.Probabilistic approach for active control based on structural energy[J].Earthquake Engineering and Structural Dynamics,2003,32:2301-2318.
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