@ ŒfÚŽGŽi˜ajF “ú–{’nkHŠwƒVƒ“ƒ|ƒWƒEƒ€u‰‰W VolF 4Šª ”NF 1975”N •ÅF 735-742•Å ’˜ŽÒi˜ajF - ƒ^ƒCƒgƒ‹i˜ajF - ´˜^i˜ajF
- ƒL[ƒ[ƒhi˜ajF - ŒfÚŽGŽi‰pjF PROCEEDINGS OF JAPAN EARTHQUAKE ENGINEERING SYMPOSIUM ’˜ŽÒi‰pjF Sukenobu TANI, Satsuya SODA ƒ^ƒCƒgƒ‹i‰pjF VERTICAL LOAD EFFECTS ON STRUCTURAL DYNAMICS ´˜^i‰pjF
In this paper, effects of vertical load, I.e. , those of vertical component of the earthquake excitation and gravity on the horizontal displacement of a tall building is examined by statistical method using a shear model with single degree of freedom. The equation of motion of a single-degree-of-freedom system excited in both the horizontal and the vertical directions is described by the Voltera's-type integral equation and can be solved by applying Laplace tranform theory. When the system is linear and the excitations in the two directions are stationary white noise with zero mean value, its solution can be obtained positively. But when the system is non-linear or excitations are non-stationary, its solution must be obtained using step-by-step algorism. In this paper, the system, is non-linear and excitations are assumed to be stationary. When the system. is non-linear, equivalent linearization technique is applied in each step. Bi-linear hysteresis is assumed here to represent system non-linearity and it is transformed into the elliptic hysteresis of linear system with structural damping, considering that the area and the amplitude of each hysteresis loop might be same. P-¡ effect due to the increase of horizontal displacement is examined. Though the effect of the vertical component of the earthquake excitation proved to be negligible, there can be the case where gravity effect must be taken into consideration, and some characteristics of the gravity effects on tall buildings are obtained. ƒL[ƒ[ƒhi‰pjF - ‹LŽ–‹æ•ªF - ‹æ•ª @@@ˆÏˆõ‰ï˜_•¶W