Dynamic Response of a Beam Subjected to Impulsive-like Rotations
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概要
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When a uniform beam is subjected to impulsive-like rotations, equations of motion in the axial and transverse directions of the beam are derived from Hamilton's principle, based on the Euler-Bernoulli hypothesis. By using of linear elasticity and other assumptions, they are simplified and decoupled. An impulsive-like velocity Ω(t) is given by Ω(t) = Ω_0 [1-exp(-ct)] The fundamental equation is transformed into a finite-difference equation and the later is numerically analyzed. The dynamic responses of the beam are obtained for various values of c in the above equation. The variations of the deflection at the beam-tip with time are discussed. The amplitude and period of the cyclic deflection at the beam-tip are obtained for c.
- 一般社団法人日本機械学会の論文
- 1986-06-00
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