Investigation of flexoelectric effect on nonlinear vibration and dynamic instability of piezoelectric sandwich micro/nanobeam using the nonlocal strain gradient theory

DOI10.1142/S0219455423500451zbMATH Open1537.74077MaRDI QIDQ6538149

Fateme Shayestenia, Majid Ghadiri

Publication date: 14 May 2024

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

flexoelectric effectnonlocal strain gradientelectromechanical sandwich micro/nanobeamnonlinear vibration and instability regions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Cites Work

• Flexoelectric effect on vibration responses of piezoelectric nanobeams embedded in viscoelastic medium based on nonlocal elasticity theory
• Free vibrations of elastic beams by modified nonlocal strain gradient theory
• Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach
• Dynamic flexoelectric effect on piezoelectric nanostructures
• On the consistency of two-phase local/nonlocal piezoelectric integral model
• On the size-dependent nonlinear thermo-electro-mechanical free vibration analysis of functionally graded flexoelectric nano-plate
• Dynamic stability of an axially transporting beam with two-frequency parametric excitation and internal resonance
• Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model
• Geometrically nonlinear analysis of Timoshenko piezoelectric nanobeams with flexoelectricity effect based on Eringen's differential model
• On the consistency of the nonlocal strain gradient elasticity
• On bending consistency of Timoshenko beam using differential and integral nonlocal strain gradient models
• An effective analytical approach to nonlinear free vibration of elastically actuated microtubes
• Elastic buckling and free vibration of nonlocal strain gradient Euler‐Bernoulli beams using Laplace transform
• Dynamic stability of simply supported beams with multi-harmonic parametric excitation
• Parametric excitation of pre-stressed graphene sheets under magnetic field: nonlinear vibration and dynamic instability
• Elastic buckling and free vibration of functionally graded piezoelectric nanobeams using nonlocal integral models

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Analytical model for thermoelastic dissipation in oscillations of toroidal micro/nanorings in the context of Guyer-Krumhansl heat equation ⋮ Size-dependent thermal-electro-mechanical behaviors of a piezo-flexoelectric micro-beam based on nonlocal strain gradient theory and dual-phase-lagging heat model ⋮ A unified model for investigating the propagation of SH surface waves in a piezoelectric layered medium

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