非線型復元力を有する振動方程式に対する演算子法の応用

概要

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Analytical and graphycal methods have been adopted so far to the solution of equation of vibration which has non-linear terms. Mr. Goro HAYASHI, among these, analyzed the equation which has non-linear damping term remaining its non-linear term as infinite series. I have tried this method to the equation which has non-linear restoration force and successfully applied to a few examples. Original equation is expressed as follows. [numerical formula] f(s)=αs+βs^2+γs^3+δs^4+……… After transforming the equation, we get [numerical formula] Put the Laplace transformation of s (τ) as S (p) and the initial conditions as [numerical formula] Substituting this, we can proceed the caluculation, and reach the conclusion. [numerical formula]
一般社団法人日本機械学会の論文
1951-12-20