NUMERICAL METHOD FOR VARIABLE COEFFICIENTS RAYLEIGH BEAMS WITH INDEFINITE DAMPING UNDER A FORCE CONTROL IN MOMENT AND VELOCITY
Keywords:
Rayleigh beam, variable coefficients, Galerkin approximation, finite elements, a priori estimates, viscous dampingDOI:
https://doi.org/10.17654/0975045225011Abstract
This paper presents a numerical method for Rayleigh beams with variable coefficients and indefinite damping under a force control in moment and velocity. The system is discretized using the Galerkin method with cubic Hermite basis functions. We are interested in the effect of the damper on the stability of the beam and also focused on the numerical study of the system’s spectrum. The convergence rate in the norm is of order two for both space and time. Numerical computations are carried out to support the theoretical findings.
Received: January 4, 2025
Accepted: February 11, 2025
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