CAJ | 학술논문

对高层隔震结构响应实空间解耦及地震作用取值进行了系统研究。首先运用复模态法和拉氏变换，建立非对称非经典结构响应的实空间精确解耦法，将高层隔震结构位移响应方差在实空间上精确分解为系列标准振子位移与速度响应方差的线性组合，获得结构相关组合系数的精确解；然后利用系列标准振子最大响应与反应谱的对应关系，给出了基于最大位移响应的地震作用新定义，建立了高层隔震结构基于反应谱的最大位移响应及其等效静态地震作用取值的完备解析解法，并给出了算例，验证了所提出方法的正确性，该方法适用于一般非对称非经典结构响应的实空间精确解耦及其基于反应谱的地震作用取值分析。
대고층격진결구향응실공간해우급지진작용취치진행료계통연구。수선운용복모태법화랍씨변환，건립비대칭비경전결구향응적실공간정학해우법，장고층격진결구위이향응방차재실공간상정학분해위계렬표준진자위이여속도향응방차적선성조합，획득결구상관조합계수적정학해；연후이용계렬표준진자최대향응여반응보적대응관계，급출료기우최대위이향응적지진작용신정의，건립료고층격진결구기우반응보적최대위이향응급기등효정태지진작용취치적완비해석해법，병급출료산례，험증료소제출방법적정학성，해방법괄용우일반비대칭비경전결구향응적실공간정학해우급기기우반응보적지진작용취치분석。
The analysis methods of decoupling in a real space and earthquake action analysis for non-classically damped high-rise isolated structures were studied systematically.The exact decoupling method in a real space for an asymmetric and non-classical structure was firstly established by using the complex modes method and Laplace Transformation,the variances of a high-rise isolated structure’s displacement random responses were exactly decomposed into a linear combination of displacements variances and velocity response variances of a series of standard oscillators,the exact solutions to the structural correlation combination coefficients were deduced.Then,according to the mutual relationships between the maximum response of a series of standard oscillators and seismic response spectra,the analytical solutions to the maximum displacement response and its value under the equivalent static earthquake action for high-rise isolated structures based on response spectra were derived.An example was given.It was verified that the proposed methods are correct,and the proposed methods are general methods,they are applicable to exact decoupling analysis in a real space and earthquake action analysis based on response spectra for general MDOF linear structures with non-classical damping and asymmetric mass and stiffness matrices.