Article citationsMore>>

Gupta, C.P. (1988) Existence and Uniqueness Results for the Bending of an Elastic Beam Equation at Resonance. Advances in Water Resources, 135, 208-225.
https://doi.org/10.1016/0022-247X(88)90149-7

has been cited by the following article:

• 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.