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

Kangsheng Liu; Zhuangyi Liu

doi:10.1016/S0377-0427(99)00284-8

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

Kangsheng Liu, Zhuangyi Liu

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1-10
Number of pages	10
Journal	Journal of Computational and Applied Mathematics
Volume	114
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(99)00284-8
State	Published - Jan 15 2000

Keywords

Boundary stabilization
Frequency-domain method
Multiplier technique
Nonhomogeneous beam
Uniform decay of energy

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10.1016/S0377-0427(99)00284-8

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title = "Boundary stabilization of a nonhomogeneous beam with rotatory inertia at the tip",

abstract = "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.",

keywords = "Boundary stabilization, Frequency-domain method, Multiplier technique, Nonhomogeneous beam, Uniform decay of energy",

author = "Kangsheng Liu and Zhuangyi Liu",

year = "2000",

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doi = "10.1016/S0377-0427(99)00284-8",

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TY - JOUR

T1 - Boundary stabilization of a nonhomogeneous beam with rotatory inertia at the tip

AU - Liu, Kangsheng

AU - Liu, Zhuangyi

PY - 2000/1/15

Y1 - 2000/1/15

N2 - 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.

AB - 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.

KW - Boundary stabilization

KW - Frequency-domain method

KW - Multiplier technique

KW - Nonhomogeneous beam

KW - Uniform decay of energy

UR - https://www.scopus.com/pages/publications/0033876142

UR - https://www.scopus.com/inward/citedby.url?scp=0033876142&partnerID=8YFLogxK

U2 - 10.1016/S0377-0427(99)00284-8

DO - 10.1016/S0377-0427(99)00284-8

M3 - Article

AN - SCOPUS:0033876142

SN - 0377-0427

VL - 114

SP - 1

EP - 10

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

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

Abstract

Keywords

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