Time history response analysis method, apparatus and program

摘要

PPROBLEM TO BE SOLVED: To perform easily and highly accurately time history response analysis of an object with an attenuation constant h indicating a vibration frequency nondependent characteristic. PSOLUTION: A causal unit imaginary function comprising an imaginary part expressed by the sum of a regular component wherein a frequency ω shows a value of (2n-1)-(2ω/ωm) in the range from (n-1) ωm to n ωm and a singular component showing a value of (2ω/ωm) regardless of the frequency ω, wherein the frequency ω shows a value of (2n-1) in the range from (n-1) ωm to n ωm, and a real part corresponding to a Hilbert transformation value of the regular component, or its imaginary part is transferred into a time domain, to thereby determine an impulse response value, and a rigidity reduction rate α(γ) and the attenuation constant h(γ) in the equation (1) acquired by substituting the impulse response value: [Ms]äu"(t)}+äF(γ,t)}=-ySB0/SB"(t)[Ms]ä1} are switched to values corresponding to a strain level γ of the object at each time, and simultaneously operated at each Δt unit, to thereby perform time history response analysis of the object. PCOPYRIGHT: (C)2009,JPO&INPIT