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PROCEEDINGS OF JAPAN EARTHQUAKE ENGINEERING SYMPOSIUM
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Yutaka YAMAZAKI
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STUDY ON EARTHQUAKE RESPONSE OF STRUCTURES BY CONSIDERING NON-DETERMINISTIC VARIABLES
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Vibrational properties of structures subjected to earthquake ground motions have been investigated by utilizing the concept of random vibration. The theory of random vibration for dynamic responses of structures is based on the stochastic point of view that earthquake ground motions cannot be essentially predicted as deterministic phenomena and that vibrational behaviour of structures during earthquakes must be grasped stochastically. However, it is also true that a structure cannot be handled as a deterministic system, because the variables on dynamic properties of an actual structure, such as masses, spring constants and damping constants, cannot be evaluated deterministically when the structure is designed. Hence, a structure must be designed by considering the non-deterministic properties of the structure as well as those of earthquake ground motions. There has been many papers concerning the dynamic response of a structure subjected to earthquake ground motions by application of the theory of random vibration since E.Rosenbluethก@and H.Tajimiก. The theory for a stationary random response of a linear lumped-mass system has been studied by the authorsก. Expansion of this theory is carried out in this paper, in which all variables are regarded as non-deterministic ones. The fundamental formula obtained by Taylor's series of a function f (r) of the vector of random variables r is applied to this expansion. There has been some papersก in which properties of stochastic variation of eigen values and earthquake responses of a structure are investigated with an application of this formula. In this paper, the theoretical expansion is carried out to obtain a general and concrete solution in an earthquake response problem of a structure.
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