8.地震による構造物の非線型振動序説
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Vibration problems of structures have been studied merely on the case of linear small vibration by many students for different purposes, regarding a structure as a system of multiple degrees of freedom or a continuous body in one dimensional co-ordinate. When we theoretically study the response of structures to a violent earthquake from a view-point to establish a standard of earthquake-proof design of buildings, it is apparently insufficient to be confined to the linear small vibrations in the stationary state. If we are to design a structure without admitting any little local failure in our country where we must fear destructive earthquakes, the building structure will cost very high and we should almost give up to design a sky-scraper economically. So we will have to consider that "seismic safety" must be defined from the view-point of admitting some partial failures of the structure. In order words, some partial failures in the event of destructive earthquake must be admitted if they do not lead buildings to collapse and buildings can regain earthquake-resistance by afterwards repairs. Hence, it is positively necessary to study vibration problems not only for linear vibration but also for nonlinear vibration beyond the limit of small amplitude. Considering above circumstances, the authors analyzed first the nonlinear vibrations in the unstationary state, idealizing a structure as a single mass system by using graphical methods introduced by E. Meissner and L.S. Jacobsen. Although Meissner's and delta methods had been especially applicable to single mass structures and not been extended to multiple mass problems, in this paper the authors tried to extend these methods to multiple mass system to make progress on our studies. Finally, combining many solutions corresponding to several ground displacements and nonlinear character of structures, the authors made in this paper a consideration on the design of structures subject to destructive earth tremors.
- 1955-09-30
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