梁崩壊型靱性架構の動的機構形成における定モード成分の抽出

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In two gross categories, the specific discipline of dynamic member-by-member analyses of yielding and hysteretic frames is responsible for establishing sufficiently reliable methods of earthquake-resistant ductility design toward their weak-girder and strong-column failure. One is related to peak stress produced at the cross sections where yielding is rendered inadmissible during dynamic formation of kinematic sway mechanism. Its properties affected noticeably by the contribution of higher-order oscillation modes can be clarified rather easily by means of a modal formulation of stress response reported previously by the author. On the contrary, similar reasonings are to be seriously interrupted in the other category of peak deformation attained at yielding cross sections since minor details in the evolutionary process of oscillatory modes become still more crucial. A new mathematical tool developed in the present report can be advantageously used in such situations. With the background of a successive application of least-square fit, this permits to extract a complete family of time-averaged and mutually orthogonal modes from any given data of vectorial time series on the basis of the eigenvalue solution of a correlation matrix. Its practical implications are then examined with regard to the features observed in story-to-story drifts as a pilot study of the nature of peak deformation. The examination leads to a reasonable resolution of the response into reference and residual components, the latter of which is designed to stand primarily for the overall effects of higher-order factors. According to finding of regularities in the residual component separated into its relative distribution and its single magnitude, an unsophisticated procedure for practical purposes is also suggested in the current presentation.
一般社団法人日本建築学会の論文
1990-03-15

著者

滝澤春男
北海道大学

梁崩壊型靱性架構の動的機構形成における定モード成分の抽出

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