地震動に似た外乱をうける履歴1自由度系のランダム応答

概要

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This paper deals with the nonlinear random response of single-degree-of-freedom systems having slip-type hysteretic restoring force characteristics. The ground motions are assumed to have the power spectra proposed by Tajimi. The attention is focussed on the time change of the expectation of equivalent natural frequency ratio β, the expectation of cumulative ductility factor λ^^~ and its .standard deviation σ_λ. The approximate solutions for β, λ^^~ and σ_λ are derived on the basis of the theoretical investigation. They are represented in terms of four nondimensional parameters-h_g which appears in the input spectrum, ν which is the ratio of natural frequency in the elastic range ω_o to ω_g which appears in the input spectrum, the nondimensional input intensity ξ and the non-dimensional time τ. β-τ, λ^^~-τ and σ_λ-τ relations with parameters ξ and ν reasonably reflect the nonlinearity of the hysteretic system and the property of the input spectrum. The analytical results indicate that in the inelastic case the spectral value at the initial natural frequency plays a less important role than in the elastic case. The approximate solutions are compared with the digital estimates obtained from the Monte Carlo simulation. The agreements between the both are satisfactory over the wide ranges of related parameters.
社団法人日本建築学会の論文
1987-12-30