Stability of a hybrid system with tip load damped

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:269

Article

Vargas, Darlyn H.¹ 

[1] Univ Fed Rio de Janeiro, BR-21941909 Rio De Janeiro, RJ, Brazil

关键词: Uniform stabilization;    Polynomial decay;    Tip load;    Thermoelastic damping;    Semigroup theory;    Essential;    radius;   

DOI  :  10.1016/j.jde.2020.05.029

来源: Elsevier

【 摘 要 】

In this article, we studied the stabilization of a hybrid system formed by a homogeneous and isotropic uniform bar clamped at the left end while the other is rigidly attached to a tip load damped. We prove that the C-0-semigroup associated with this model has stability strong but not uniformly and decays polynomially at a rate of t(-1/2). Finally, if we modify the homogeneity of a subpart of the end clamped of the bar through a thermoelastic inclusion, we achieve the uniform stability for the C-0-semigroup associated with this new model. Such subpart is made of thermoelastic material different from its complementary but with an equal cross section.

【 授权许可】

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