English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we use asymptotic techniques and the finite differences method to study the spectrum of differential operator arising in exponential stabilization of Euler-Bernoulli beam with nonuniform thickness or density that is clamped at one end and is free at the other. To stabilize the system, we apply at the free end, the following shear force feedback control: (EI (·) uxx (·, t))x (1) = αu (1, t) + βut (1, t) , t > 0. We build a numerical scheme and investigate the eigenvalues locus as a function of the positive feedback parameters α and β. AMS Subject Classification: 93C20, 93D15, 35B35, 35P10

NUMERICAL APPROXIMATION OF SPECTRUM FOR VARIABLE COEFFICIENTS EULER-BERNOULLI BEAMS UNDER A FORCE CONTROL IN POSITION AND VELOCITY