Boundary stabilization of a nonhomogeneous beam with rotatory inertia at the tip

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摘要

We consider a nonhomogeneous Euler–Bernoulli beam with rotatory inertia at the tip. Uniform boundary stabilization of this system is proved via the frequency-domain multiplier method. We also show that this system is associated with a C0 group and has a complete set of generalized eigenfunctions.

论文关键词:Boundary stabilization,Nonhomogeneous beam,Uniform decay of energy,Frequency-domain method,Multiplier technique

论文评审过程:Received 10 December 1998, Revised 6 May 1999, Available online 20 December 1999.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00284-8