The distribution of natural frequencies of the Euler–Bernoulli beam resting on elastic foundation and subject to an axial force in the presence of several damping mechanisms is investigated. The damping mechanisms are: ( i ) an external or viscous damping with damping coefficient ( − a 0 ( x )), ( ii ) a damping proportional to the bending rate with the damping coefficient a 1 ( x ). The beam is clamped at the left end and equipped with a fourparameter (α, β, κ 1 , κ 2 ) linear boundary feedback law at the right end. The 2more »
Spectral analysis of the EulerBernoulli beam model with fully nonconservative feedback matrix: Spectral analysis of the EulerBernoulli beam model with fully nonconservative feedback matrix
 Award ID(s):
 1810826
 Publication Date:
 NSFPAR ID:
 10130939
 Journal Name:
 Mathematical Methods in the Applied Sciences
 Volume:
 41
 Issue:
 12
 Page Range or eLocationID:
 4691 to 4713
 ISSN:
 01704214
 Sponsoring Org:
 National Science Foundation
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