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Nonlocal strain gradient-based meshless collocation model for nonlinear dynamics of time-dependent actuated beam-type energy harvesters at nanoscale

Muhammad Atif Shahzad, Saeid Sahmani, Babak Safaei, Mohammed Salem Basingab, Abdul Zubar Hameed

2023Mechanics Based Design of Structures and Machines29 citationsDOI

Abstract

There is a diverse and well-constructed application of energy harvesting systems due to their innovate technology to provide the necessary power for low-energy electronics. In this regard, the prime objective of the current study is to analyze the size-dependent nonlinear dynamic performance of piezoelectric beam-type energy harvesters at nanoscale subjected to a time-dependent mechanical uniform load. A laminated structure containing an agglomerated nanocomposite core integrated with top and bottom piezoelectric surface layers is considered for the nanoscale bridge-type energy harvesters. To take the size dependency into account, the nonlocal strain gradient continuum elasticity is formulated based upon a quasi-3D beam theory incorporating the both features of size effects. Thereafter, the size-dependent nonlinear problem is then solved numerically relevant to simply supported and clamped end conditions via employing the meshless collocation technique. Accordingly, the numerical solving procedure is established without any background meshes as well as eliminating the integration and singularity by using proper multiquadric radial basis functions.

Topics & Concepts

Collocation (remote sensing)Nonlinear systemDynamics (music)Beam (structure)Collocation methodEnergy (signal processing)NanomechanicsType (biology)MechanicsNanoscopic scalePhysicsClassical mechanicsMathematicsMaterials scienceMathematical analysisStructural engineeringComputer scienceEngineeringAcousticsNanotechnologyOrdinary differential equationMachine learningDifferential equationBiologyQuantum mechanicsAtomic force microscopyEcologyNonlocal and gradient elasticity in micro/nano structuresMechanical and Optical ResonatorsThermoelastic and Magnetoelastic Phenomena