著者

竹脇 出 中村 恒善

出版者

日本建築学会

雑誌

日本建築学会構造系論文集 (ISSN:13404202)

巻号頁・発行日

vol.59, no.455, pp.47-59, 1994

被引用文献数

4 2

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A new seismic stiffness design method is developed for an elastically supported composite shear building model. A hybrid inverse eigenmode problem is formulated first for the corresponding undamped model. All the floor masses of the model and the stiffnesses of the support spring and the lower stories are prescribed. Then the stiffnesses of the upper stories are found for a specified lowest eigenvalue and a specified set of lowest-mode interstory-drift components in the upper stories. Sufficient conditions are introduced and proved for a specified eigenvalue and a specified set of interstory-drift components in the upper stories to provide positive stiffnesses of the upper stories and to be those in the lowest eigenvibration. A problem of eigenvalue analysis and its inverse problem are combined in this hybrid inverse eigenmode formulation. lt is finally shown that this formulation is quite useful in developing a seismic stiffness design method for elastically supported composite shear building models.

著者

上谷 宏二 中村 恒善 森迫 清貴 石田 修三

出版者

一般社団法人日本建築学会

雑誌

日本建築学会構造系論文報告集 (ISSN:09108025)

巻号頁・発行日

no.445, pp.67-78, 1993-03-30

被引用文献数

7

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In the incremental analysis of the critical behavior of an elastic-plastic structure, a conventional iterative procedure for finding the set of element stiffness coefficients consistent with the material flow law may often lead to a pitfall of cyclic process, in which a multiple inconsistent sets of stiffness coefficients are to be alternately or recurrently selected. This is one of the most serious difficulties left unsolved in combined nonlinear analysis. In this paper, the intrinsic mechanism and characteristics of these cyclic processes are clarified for a simple rigid body-spring column model. On the basis of the results, an effective strategy for finding the consistent set is proposed with the use of the eigenvector associated with the smallest negative eigenvalue of system stiffness matrix.