Aim at the complexity of response analysis methods for energy dissipation systems composed of series-parallel layout Ⅱ inerter dampers (SPID-Ⅱs) in high-rise structures under random excitation,closed-form solutions for structural displacements and damping force response of SPID-Ⅱs are proposed.Based on the proposed solutions,the influence of real mode number on analysis accuracy was studied,and the feasibility of the layout strategy of SPID-Ⅱs installed on floors with interlayer displacement exceeding the limit of the main structure was explored.Firstly,based on the mechanical construction diagram of SPID-Ⅱ and its setting method between adjacent floors in structures,a differential constitutive relationship between the damper damping force of SPID-Ⅱ and the horizontal displacement of structural nodes was established,and the coupled seismic motion equation of the high-rise building and SPID-Ⅱ was reconstructed.Secondly,the real mode decoupling method is used to obtain the concise equivalent dynamic parameters of high-rise structures,and the power spectrum quadratic decomposition method is applied to energy dissipation systems to derive the accurate quadratic solutions of the power spectrum of a series of responses such as the absolute displacement of high-rise structure nodes relative to the ground,interlayer displacements of vertical components of the high-rise structure and damping force of SPID-Ⅱs.Then,a concise closed-form solutions of the 0-2nd order spectral moments of those design parameters of the energy dissipation system subjected to random seismic excitation modelled by double filtered white noise were derived.Finally,the correctness of the method proposed in this paper was verified through numerical examples,and the influence of the number of real mode shapes on the accuracy of energy dissipation system design parameter analysis was studied,as well as the influence of the position of inertial dampers on the seismic reduction effect.Results shows that for the response analysis of multi-degree of freedom energy dissipation structures,it is recommended to use the number of vibration modes corresponding to the cumulative mass participation coefficient reaching 100％ in the original structural free vibration analysis,which can achieve stable accuracy and improve the analysis efficiency of energy dissipation systems with SPID-Ⅱs installed in large and complex high-rise structures.The proposed strategy for setting SPID-Ⅱs with appropriate mechanical parameters can effectively reduce the seismic response of high-rise structures by placing a SPID-Ⅱ in the floor where interlayer displacement of the original structure exceeds the limit or in the middle floor between three adjacent floors where interlayer displacements of the original structure exceed the limit.The proposed closed-form solutions method and the layout strategy of SPID-Ⅱs in high-rise building can provide useful reference value for the practical engineering application of SPID-Ⅱs.
关键词
混联II型惯容阻尼器/功率谱二次式分解法/封闭解/实模态振型数/阻尼器设置策略
Key words
series-parallel layout Ⅱ inerter damper/quadratic decomposition method of power spectral density function/closed-form solution/number of real mode shapes/damper setting strategy
维普
万方数据