多変量解析による高層建物の基本固有周期略算式に関する検討

抄録

A brief formula of evaluating fundamental natural period of high rise building structure is discussed on the basis of natural periods of existing building by the methodology of multivariate statistical analysis. In the analytical procedure, the objective variable is defined as the residual value of natural period, from which the term evaluated by the item of height of the building structure is subtracted, because that the item of height controls remarkably the objective variables. The items, which are constructed by the several structural properties so as to describe the objective variables efficiently, are as follows : l) height of building structure above the ground, 2) total height, 3) story number above the ground, 4) total story number, 5) ratio of height above the groung and width of basement, 6) ratio of height of the part of steel construction and height above the ground, 7) aspect ratio, 8) ratio of height of the part of set-back construction and height above the ground, 9) a reciprocal of width of basement, 10) shape of the plan, 11) shape of the elevation, and 12) constant value. With regard to the criteria of significant level of items, the multiple correlation coefficients, partial correlation coefficients, and the ratio of variance of residual and regression are adopted. As the conclusion from analytical results, a brief formula for evaluation of fundamental natural period of high rise building structure is presented by using of the linear combination of four items, which are 1) height of building above the ground, 6) structural ratio, 7) aspect ratio, and 8) set-back ratio.