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Stability of Two Weakly Coupled Elastic Beams with Partially Local Damping

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In this paper, the stability of two weakly coupled elastic beams connected vertically by a spring is investigated via the frequency domain method and the multiplier technique. When the two… Click to show full abstract

In this paper, the stability of two weakly coupled elastic beams connected vertically by a spring is investigated via the frequency domain method and the multiplier technique. When the two beams have partially local damping, the operator A is obtained via variable conversion, and it generating a semigroup is proved, then we obtain that the semigroup is exponentially stable by reduction to absurdity.

Keywords: two weakly; elastic beams; coupled elastic; stability two; beams partially; weakly coupled

Journal Title: Mathematical Problems in Engineering
Year Published: 2020

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