確率変数から成る振動系の地震応答量の変動
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概要
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This paper is concerned with the method evaluating the perturbation of dynamic properties and responses of the system which is composed of stochastic variables, when subjected to the random input. General procedure of analysis is summarized as 1. selcting elementary random variables included in the system as parameters, 2. calculating the perturbation of eigen values and eigen vectors and 3. estimating the perturbation of various outputs due to the input with random variables, which is statistically prescribed in a frequency domain. This paper mainly consists of the following contents. §2 describes the analytical process on the perturbation of eigen values and vectors when mass and stiffness matrices are constructed by random variables. In §3 the perturbation of displacement, velocity and acceleration responses due to the stationary white noise excitation with random power level is discussed. This approach is applied to the idealized multi-degree-freedom shear-type building as an example and results are examined in §4. §5 deals with the evaluation of error produced in this method. For the aseismic design of structures, the approach and concept described in this paper would be not only quite effective, but also absolutely necessary, because dynamic characteristics of structure such as mass, stiffness, ductility, strength and damping as well as the earthquake excitation can never be given as determinate values, and therefore because it is almost impossible to as certain the security of structures by the definite output of the definite system due to the definite input.
- 1973-08-30
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