Vibration analysis of piezoelectric sandwich nanobeam with flexoelectricity based on nonlocal strain gradient theory

Zeng, Song; Wang, Kaifa; Wang, Baolin; Wu, Jinwu

doi:10.1007/s10483-020-2620-8

Cited by 29 publications

(4 citation statements)

References 52 publications

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“…The structure of the wind turbine blades and tower was simplified as a flexible beam of an equal cross-section connected to a rotating wheel with known rotation laws. 4,9,10 Under normal operating conditions, the model established by connecting the flexible cantilever beam to the rotating wheel is shown in Fig. 1.…”

Section: Mathematical Modeling Of Cantilever Beam-establish Differential Equation Of Vibrationmentioning

confidence: 99%

Vibration Analysis of Rotating Wind Turbine Blades Based on Piezoelectric Materials

Jing¹,

Wang²

2021

The International Journal of Acoustics and Vibration

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Piezoelectric materials have a piezoelectric effect that converts mechanical energy into electrical energy. In this paper, the blades of the rotating wind turbine are simplified as flexible beams fixed on the rotating wheels, and piezoelectric ceramics are added to the beams as sensors and actuators respectively to establish an analysis model of the vibration behavior of the piezoelectric sandwich rotating wind turbine blades. Based on Newton's second law, different accelerations are added to the rotating wheel to obtain the differential equation of a vibration variable coefficient. The fourth order Runge-Kutta method is used to solve variable coefficient differential equations. The hypothetical modal method is applied to solve the displacement of the free end of the flexible beam. A numerical simulation is also carried out to analyse the magnitude and change trend of the voltage output by adding piezoelectric materials at different angular velocities. The results show that the greater the rotational angular velocity, the greater the displacement of the free end of the flexible beam, and the greater the voltage due to the piezoelectric effect of the piezoelectric material. When the rotation angular velocity reaches a stable value, the displacement of the free end and the generated voltage will also reach a stable value.

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Section: Mathematical Modeling Of Cantilever Beam-establish Differential Equation Of Vibrationmentioning

confidence: 99%

Vibration Analysis of Rotating Wind Turbine Blades Based on Piezoelectric Materials

Jing¹,

Wang²

2021

The International Journal of Acoustics and Vibration

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“…Abdelrahman et al 13 investigated the dynamics of perforated nano-beams subject to moving mass using the nonlocal strain gradient theory. Zeng et al 14 investigated the vibration analysis of piezoelectric sandwich nano-beam with flexoelectricity based on nonlocal strain gradient theory. Sourani et al 15 investigated the comparison of the Bolotin and incremental harmonic balance methods in the dynamic stability analysis of an Euler-Bernoulli nano-beam based on the nonlocal strain gradient theory and surface effects.…”

Section: Introductionmentioning

confidence: 99%

An dynamical evaluation of size-dependent weakened nano-beam based on the nonlocal strain gradient theory

Eghbali

Hosseini

Pourseifi

2022

The Journal of Strain Analysis for Engineering Design

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This paper examines the free lateral vibration of a cracked nano-beam based on Euler-Bernoulli beam theory and nonlocal strain gradient theory (NSGT). Due to the importance and application of nanostructures, their mechanical and mechanical properties are essential. The governing equations and boundary conditions related to using the Hamilton principle have been extracted. The beam separation with the nano-beams division into two parts attached to the Torsion spring is modeled. The model calls the excess strain energy due to crack and increases the discontinuity in the deflection slope. This study investigated the effects of crack propagation, crack intensity, material length scale parameter, and various nonlocal parameters. A comparison of previous studies has been published, where a good agreement is observed. The results show that the parameters mentioned above play an important role in dynamical behavior.

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“…Many natural porous materials have been widely used for thousands of years. Compared with continuous medium materials, porous materials have excellent impact resistance, electrical conductivity, energy absorption, and thermal management properties [1][2][3][4][5]. Porous materials are often used in biological tissue, sound insulation materials, and new photoelectric elements [6].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Instability of Functionally Graded Graphene Platelet-Reinforced Porous Beams on an Elastic Foundation in a Thermal Environment

Zhang

2022

Nanomaterials

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Under thermal environment and axial forces, the dynamic instability of functionally graded graphene platelet (GPLs)-reinforced porous beams on an elastic foundation is investigated. Three modes of porosity distributions and GPL patterns are considered. The governing equations are given by the Hamilton principle. On the basis of the differential quadrature method (DQM), the governing equations are changed into Mathieu–Hill equations, and the main unstable regions of the porous composite beams are studied by the Bolotin method. Thermal buckling and thermo-mechanical vibration problems are also studied. The effects of porosity coefficients and GPL weight fraction, dispersion pattern, initial thermal loading, slenderness ratio, geometry and size, boundary conditions, and foundation stiffness are discussed. The conclusions show that an elastic foundation has an obvious enhancement effect on thermal buckling, free vibration, and dynamic instability, which improves the stiffness of the beam.

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Vibration analysis of piezoelectric sandwich nanobeam with flexoelectricity based on nonlocal strain gradient theory

Cited by 29 publications

References 52 publications

Vibration Analysis of Rotating Wind Turbine Blades Based on Piezoelectric Materials

Vibration Analysis of Rotating Wind Turbine Blades Based on Piezoelectric Materials

An dynamical evaluation of size-dependent weakened nano-beam based on the nonlocal strain gradient theory

Dynamic Instability of Functionally Graded Graphene Platelet-Reinforced Porous Beams on an Elastic Foundation in a Thermal Environment

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