CAJ | 학술논문

针对高速铁路客站具有跨度大、节点多、单元多、构件阻尼比差异大等特点，提出实用多维虚拟激励法，从理论上阐明了振型阻尼法求解原理和方法。任取振型，采用修正过滤白噪声谱，利用反应谱能合理考虑激励非平稳性的优点，根据单自由度平稳激励虚拟激励法求得的位移均方差与位移反应谱值相等的原则确定各振型对应的功率谱强度因子。利用多维激励矩阵分解和振型分解原理，提出实用多维虚拟激励法，并以天津西站 II 区为例将上述理论和方法加以应用。经比较表明：计算结果较常用反应谱组合值大，较时程响应值小，证明该计算方法合理，可供复杂结构的抗震设计与分析参考。
침대고속철로객참구유과도대、절점다、단원다、구건조니비차이대등특점，제출실용다유허의격려법，종이론상천명료진형조니법구해원리화방법。임취진형，채용수정과려백조성보，이용반응보능합리고필격려비평은성적우점，근거단자유도평은격려허의격려법구득적위이균방차여위이반응보치상등적원칙학정각진형대응적공솔보강도인자。이용다유격려구진분해화진형분해원리，제출실용다유허의격려법，병이천진서참 II 구위례장상술이론화방법가이응용。경비교표명：계산결과교상용반응보조합치대，교시정향응치소，증명해계산방법합리，가공복잡결구적항진설계여분석삼고。
The practical multi-dimension pseudo excitation method was proposed in view of the fact that a high-speed railway passenger station was featured by large span,lots of nodes,multi-number of elements and mem-bers with damping ratios of great differences.Firstly,the solving principle and method of the vibration mode damping ratios and other relevant parameters were expounded theoretically.Then,the intensity factor corre-sponding to every vibration mode,was gotten according to the principle that the displacement variance though the stationary pseudo excitation method with modified white noise spectrum mode for single freedom system, was equal to that using the displacement response spectra reflecting non-stationary property of earthquake. Based on the intensity factor,the practical multi-dimension pseudo excitation was deduced with the decomposi-tion of excitation matrixes and the principle of mode decomposition.Lastly,taking the Tianjin Railway Station-II as an example,the above theory and calculation formula were put into application.The computational results were greater than the combinational values of ordinarily used response spectra and smaller than the time-histo-ries responses values.The comparison shows the proposed method is rational and can be seen as references to seismic design of complicated structures.