Influence of Winkler and viscoelastic foundation on free vibration of functionally graded beam integrated with Terfenol-D layer

• Published in: Journal of the Brazilian Society of Mechanical Sciences and Engineering Vol. 42; no. 11
• Main Authors: Patil, Mukund A., Kadoli, Ravikiran
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-11-2020; Springer Nature B.V
• Subjects: Beams (structural); Boundary conditions; Elastic foundations; Engineering; Free vibration; Functionally gradient materials; Material properties; Mechanical Engineering; Parameters; Quadratures; Technical Paper; Terfenol alloys; Viscoelasticity; Differential quadrature method (DQM); Terfenol-D; Composite actuator; Variable elastic foundation; Functionally graded material
• ISSN: 1678-5878; 1806-3691
• DOI: 10.1007/s40430-020-02677-9

Free vibration of functionally graded beam integrated with Terfenol-D layer on Winkler-two parameter and viscoelastic foundation are studied by means of differential quadrature method within the framework of classical beam theory. The material properties of functionally graded beam integrated Terfenol-D layer are estimated by using the rule of mixture. The applied kinematic boundary conditions are implemented using
δ
-point and modified weighting coefficient approach. The solution of simply supported functionally graded material beam with Terfenol-D layer (FGMT) resting on the Winkler elastic foundation is obtained by using the technique of Navier. The numerical results obtained using differential quadrature method (DQM) and modified differential quadrature method (MDQM) are compared with exact results obtained from analytical formulation where excellent agreement is observed. The parametric study is carried out to encapsulate the influence of Winkler-two parameter and the viscoelastic foundation on the vibration characteristics of functionally graded beams integrated with Terfenol-D layer.