Dynamical system of a time-delayed of rigid rocking rod: analytical approximate solution

HIGHLIGHTS

  • who: Galal M. Moatimid from the DepartmentShams University have published the article: Dynamical system of a time-delayed of rigid rocking rod: analytical approximate solution, in the Journal: Scientific Reports Scientific Reports of 27/01/2023

SUMMARY

    Subsequently, Eq will be transformed into the following simplified form: θ̈ + ω2 θ + ω2 (θ 2 θ̈ + θ θ̇ 2 ) - ω2 3 θ=0. From now on, the EOM becomes: θ̈ + ω2 θ + ω2 - ω2 3 θ=0. The HPM is built generally on the fundamental Homotopy ­formula16,26,27,28: 1 θ̈ + ω2 θ + ω2 ρ - θ 3=0, ρ ∈. (5) 2 θ (t, ρ)=e-ρτ t.. | 13:5570 | 3 Vol.:(0123456789 . . .

     

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