Unified two-phase nonlocal formulation for vibration of functionally graded beams resting on nonlocal viscoelastic Winkler-Pasternak foundation

• Published in: Applied mathematics and mechanics Vol. 44; no. 1; pp. 89 - 108
• Main Authors: Zhang, Pei, Schiavone, P., Qing, Hai
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2023; Springer Nature B.V; Department of Mechanical Engineering,University of Alberta,Edmonton,Alberta T6G 1H9,Canada%Department of Mechanical Engineering,University of Alberta,Edmonton,Alberta T6G 1H9,Canada%State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China; State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
• Edition: English ed.
• Subjects: Applications of Mathematics; Beams (structural); Classical Mechanics; Constraint modelling; Eigenvalues; Elastic deformation; Fluid- and Aerodynamics; Foundations; Functionally gradient materials; Generalized differential quadrature method; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Quadratures; Stiffness; Vibration damping; Vibration response; Viscoelasticity; 74K10; damping vibration; two-phase nonlocal elasticity; O342; functionally graded (FG) beam; nonlocal viscoelastic Winkler-Pasternak foundation; generalized differential quadrature method (GDQM); generalized differential quadrature method(GDQM); functionally graded(FG)beam

A nonlocal study of the vibration responses of functionally graded (FG) beams supported by a viscoelastic Winkler-Pasternak foundation is presented. The damping responses of both the Winkler and Pasternak layers of the foundation are considered in the formulation, which were not considered in most l...