Forced vibration analysis of a sandwich beam with functionally porous faces and viscoelastic core using Golla–Hughes–McTavish model

• Published in: Acta mechanica Vol. 234; no. 9; pp. 4343 - 4364
• Main Authors: Tafreshi, E. S., Darabi, B., Hamedi, J., Mahbadi, H.
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.09.2023; Springer; Springer Nature B.V
• Subjects: Analysis; Beams (structural); Classical and Continuum Physics; Control; Differential equations; Dynamical Systems; Engineering; Engineering Fluid Dynamics; Engineering Thermodynamics; Equations of motion; Finite element method; Forced vibration; Hamilton's principle; Heat and Mass Transfer; Literature reviews; Original Paper; Porosity; Porous materials; Sandwich structures; Solid Mechanics; Theoretical and Applied Mechanics; Vibration; Vibration analysis; Viscoelastic materials; Viscoelasticity
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-023-03600-8

In this paper, the forced vibration of a functionally porous sandwich beam with a viscoelastic core has been investigated. The upper and lower layers of the beam are made of functionally porous materials, and the porosity gradient in porous layers is distributed through their thickness. The core of the beam is made of viscoelastic materials. The Golla–Hughes–McTavish (GHM) model is employed to simulate the viscoelastic behavior of the core. Applying the Hamilton principle and Euler–Bernoulli theory, the governing equation of motion is obtained for a simply supported beam. The Newmark method is applied to solve the time-dependent differential equation of the beam. The results are compared with data from the literature review and a commercial finite element software. In the Results and Discussion section of the paper, a parametric study is performed to investigate the effects of porosity and viscoelastic parameters on the forced vibration of the beam. Finally, the results obtained by the GHM model are compared with the Kelvin–Voigt model for constant and variable input frequencies. According to the results, both models predict identical behavior for constant input frequency. However, the GHM model provides better results for the case of variable input frequency.