Abstract
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+βs2+γs3+δs4+……… 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]
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