TITLE:
Mixed Finite Volume Element Method for Vibration Equations of Beam with Structural Damping
AUTHORS:
Tongxin Wang, Ziwen Jiang, Zhe Yin
KEYWORDS:
Vibration Equations, Structural Damping, Mixed Finite Volume Element Method, Error Estimation, Numerical Simulation
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.11 No.3,
September
28,
2021
ABSTRACT: In this
paper, for the initial and boundary value problem of beams with structural damping, by introducing intermediate
variables, the original fourth-order problem is transformed into
second-order partial differential equations, and the mixed finite volume
element scheme is constructed, and the existence, uniqueness and convergence of
the scheme are analyzed. Numerical examples are provided to confirm the theoretical results. In
the end, we test the value of δ to observe its influence on the
model.