4.7 Article

On the local/nonlocal piezoelectric nanobeams: Vibration, buckling, and energy harvesting

Journal

MECHANICAL SYSTEMS AND SIGNAL PROCESSING
Volume 151, Issue -, Pages -

Publisher

ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2020.107432

Keywords

Piezoelectric nanobeams; Energy harvesting; Local/nonlocal elasticity; Vibration and buckling; Exact solution and GDQM

Ask authors/readers for more resources

In this study, the vibration, buckling, and energy harvesting of piezoelectric nanobeams are investigated using a paradox-free nonlocal theory called two-phase local/nonlocal elasticity. The exact solution and a numerical solution are obtained using the governing equations derived from the two-phase elasticity and Hamilton's principle. A comparison study with common differential nonlocal elasticity shows that differential nonlocal theory is incompetent for reliable results in studying piezoelectric-based materials. This study suggests using other nonlocal theories like two-phase local/nonlocal elasticity for analyzing the mechanics of piezoelectric nanostructures.
Based on a paradox-free nonlocal theory-two-phase local/nonlocal elasticity-vibration, buckling, and energy harvesting of piezoelectric nanobeams are investigated for the first time. By the means of the differential form of two-phase elasticity and Hamilton's principle, governing equations and boundary conditions are obtained. The exact solution as well as a numerical solution, Generalized Differential Quadrature Method (GDQM), are presented to extract results. Also, for the sake of obtaining equations for the forced vibration and energy harvesting analysis, the Galerkin method is utilized to discretize the governing equation. Given the fact that the differential nonlocal elasticity is not able to apply the size dependency on uniform loads, for the first time, the size-dependent piezoelectric load is taken into account through the two-phase elasticity. Also, vibration and energy harvesting of a clamped free nanobeam - which is a really good case for harvesting energy and cannot be accurately studied by differential nonlocal - are investigated employing the two-phase elasticity. To validate the present formulation and solution procedures, several comparison studies are conducted. Comparison between the common differential nonlocal elasticity and two-phase theory reveals that differential nonlocal elasticity is incompetent to yield reliable results for studying the vibration and energy harvesting of piezoelectric-based materials. Therefore, to study the mechanics of piezoelectric nano structures, other nonlocal theories such as two-phase local/nonlocal elasticity should be used. This paper can be a useful basis to investigate the vibration, buckling, and energy harvesting of nano piezoelectric devices and to improve their design. (c) 2020 Elsevier Ltd. All rights reserved.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Engineering, Mechanical

Thermal vibration and buckling analysis of two-phase nanobeams embedded in size dependent elastic medium

Mahmood Fakher, Shahin Behdad, Ali Naderi, Shahrokh Hosseini-Hashemi

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2020)

Article Physics, Multidisciplinary

Vibrations of defected local/nonlocal nanobeams surrounded with two-phase Winkler-Pasternak medium: non-classic compatibility conditions and exact solution

Shahin Behdad, Mahmood Fakher, Ali Naderi, Shahrokh Hosseini-Hashemi

Summary: The dynamics of cracked nanobeams surrounded by size-dependent Winkler-Pasternak medium were studied using two-phase local/nonlocal elasticity theory. The results showed significant changes in vibration frequencies of intact and defected nanobeams when size dependency was applied to the medium. The impact of nonlocal effects on defected nanobeams varied depending on crack characteristics. This research can provide more accurate predictions in vibration analysis of defected nanostructures embedded in two-parameter medium.

WAVES IN RANDOM AND COMPLEX MEDIA (2021)

Article Instruments & Instrumentation

Size dependent effects of two phase viscoelastic medium on damping vibrations of smart nanobeams: an efficient implementation of GDQM

Ali Naderi, Shahin Behdad, Mahmood Fakher

Summary: This paper studies the mechanics of nonlocal piezo-magnetic nanobeams embedded in a local/nonlocal viscoelastic medium. An exact solution and an efficient approach of generalized differential quadrature method (GDQM) are introduced. The results show that the size-dependency of the viscoelastic medium, external electric, and magnetic loads play significant roles in the vibration characteristics and should be considered based on two-phase theory.

SMART MATERIALS AND STRUCTURES (2022)

Article Chemistry, Physical

Vibration Analysis of a Unimorph Nanobeam with a Dielectric Layer of Both Flexoelectricity and Piezoelectricity

Ali Naderi, Tran Quoc-Thai, Xiaoying Zhuang, Xiaoning Jiang

Summary: For the first time, this study investigates the vibrational responses of a unimorph nanobeam with a functionally graded base and a dielectric layer that exhibits both piezoelectricity and flexoelectricity. The study applies the paradox-free local/nonlocal elasticity and utilizes Hamilton's principle to determine the formulation and boundary conditions. Additionally, the generalized differential quadrature method (GDQM) is implemented to solve complex partial differential equations. The results show that small-scale flexoelectricity dominates the electromechanical coupling, indicating the importance of studying the effect of dielectric materials in smart structures.

MATERIALS (2023)

Article Engineering, Mechanical

Vibration analysis of mass nanosensors with considering the axial-flexural coupling based on the two-phase local/nonlocal elasticity

Ali Naderi, Shahin Behdad, Mahmood Fakher, Shahrokh Hosseini-Hashemi

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2020)

Article Engineering, Mechanical

Approximate symplectic approach for mistuned bladed disk dynamic problem

Xuanen Kan, Yanjun Lu, Fan Zhang, Weipeng Hu

Summary: A blade disk system is crucial for the energy conversion efficiency of turbomachinery, but differences between blades can result in localized vibration. This study develops an approximate symplectic method to simulate vibration localization in a mistuned bladed disk system and reveals the influences of initial positive pressure, contact angle, and surface roughness on the strength of vibration localization.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

Dynamic characteristics of spur gear system with tooth root crack considering gearbox flexibility

Zimeng Liu, Cheng Chang, Haodong Hu, Hui Ma, Kaigang Yuan, Xin Li, Xiaojian Zhao, Zhike Peng

Summary: Considering the calculation efficiency and accuracy of meshing characteristics of gear pair with tooth root crack fault, a parametric model of cracked spur gear is established by simplifying the crack propagation path. The LTCA method is used to calculate the time-varying meshing stiffness and transmission error, and the results are verified by finite element method. The study also proposes a crack area share index to measure the degree of crack fault and determines the application range of simplified crack propagation path.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

A novel forward computational modal analysis method of the motor stator assembly considering core lamination and winding stacking

Rongjian Sun, Conggan Ma, Nic Zhang, Chuyo Kaku, Yu Zhang, Qirui Hou

Summary: This paper proposes a novel forward calculation method (FCM) for calculating anisotropic material parameters (AMPs) of the motor stator assembly, considering structural discontinuities and composite material properties. The method is based on multi-scale theory and decouples the multi-scale equations to describe the equivalence and equivalence preconditions of AMPs of two scale models. The effectiveness of this method is verified by modal experiments.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

An Intelligent Scheduling System and Hybrid Optimization Algorithm for Ship Locks of the Three Gorges Hub on the Yangtze River

Hao Zhang, Jiangcen Ke

Summary: This research introduces an intelligent scheduling system framework to optimize the ship lock schedule of the Three Gorges Hub. By analyzing navigational rules, operational characteristics, and existing problems, a mixed-integer nonlinear programming model is formulated with multiple objectives and constraints, and a hybrid intelligent algorithm is constructed for optimization.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

An enhanced ultrasonic method for monitoring and predicting stress loss in multi-layer structures via vibro-acoustic modulation

Jingjing He, Xizhong Wu, Xuefei Guan

Summary: A sensitivity and reliability enhanced ultrasonic method has been developed in this study to monitor and predict stress loss in pre-stressed multi-layer structures. The method leverages the potential breathing effect of porous cushion materials in the structures to increase the sensitivity of the signal feature to stress loss. Experimental investigations show that the proposed method offers improved accuracy, reliability, and sensitivity to stress change.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

Spectral estimation model for linear displacement and vibration monitoring with GBSAR system

Benyamin Hosseiny, Jalal Amini, Hossein Aghababaei

Summary: This paper presents a method for monitoring sub-second or sub-minute displacements using GBSAR signals, which employs spectral estimation to achieve multi-dimensional target detection. It improves the processing of MIMO radar data and enables high-resolution fast displacement monitoring from GBSAR signals.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

Transformer-based meta learning method for bearing fault identification under multiple small sample conditions

Xianze Li, Hao Su, Ling Xiang, Qingtao Yao, Aijun Hu

Summary: This paper proposes a novel method for bearing fault identification, which can accurately identify faults with few samples under complex working conditions. The method is based on a Transformer meta-learning model, and the final result is determined by the weighted voting of multiple models.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

Correlation warping radius tracking for condition monitoring of rolling bearings under varying operating conditions

Xiaomeng Li, Yi Wang, Guangyao Zhang, Baoping Tang, Yi Qin

Summary: Inspired by chaos fractal theory and slowly varying damage dynamics theory, this paper proposes a new health monitoring indicator for vibration signals of rotating machinery, which can effectively monitor the mechanical condition under both cyclo-stationary and variable operating conditions.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

Latching control: A wave energy converter inspired vibration control strategy

Hao Wang, Songye Zhu

Summary: This paper extends the latching mechanism to vibration control to improve energy dissipation efficiency. An innovative semi-active latched mass damper (LMD) is proposed, and different latching control strategies are tested and evaluated. The latching control can optimize the phase lag between control force and structural response, and provide an innovative solution to improve damper effectiveness and develop adaptive semi-active dampers.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

A hierarchical Bayesian modeling framework for identification of Non-Gaussian processes

Menghao Ping, Xinyu Jia, Costas Papadimitriou, Xu Han, Chao Jiang, Wang-Ji Yan

Summary: Identification of non-Gaussian processes is a challenging task in engineering problems. This article presents an improved orthogonal series expansion method to convert the identification of non-Gaussian processes into a finite number of non-Gaussian coefficients. The uncertainty of these coefficients is quantified using polynomial chaos expansion. The proposed method is applicable to both stationary and nonstationary non-Gaussian processes and has been validated through simulated data and real-world applications.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

Double mechanical frequencies locking phenomenon in a piezoelectric driven 3-DOF magnetic coupling resonator

Lei Li, Wei Yang, Dongfa Li, Jianxin Han, Wenming Zhang

Summary: The frequency locking phenomenon induced by modal coupling can effectively overcome the dependence of peak frequency on driving strength in nonlinear resonant systems and improve the stability of peak frequency. This study proposes the double frequencies locking phenomenon in a three degrees of freedom (3-DOF) magnetic coupled resonant system driven by piezoelectricity. Experimental and theoretical investigations confirm the occurrence of first frequency locking and the subsequent switching to second frequency locking with the increase of driving force. Furthermore, a mass sensing scheme for double analytes is proposed based on the double frequencies locking phenomenon.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

Torsional vibration attenuation of a closed-loop engine crankshaft system via the tuned mass damper and nonlinear energy sink under multiple operating conditions

Kai Ma, Jingtao Du, Yang Liu, Ximing Chen

Summary: This study explores the feasibility of using nonlinear energy sinks (NES) as replacements for traditional linear tuned mass dampers (TMD) in practical engineering applications, specifically in diesel engine crankshafts. The results show that NES provides better vibration attenuation for the crankshaft compared to TMD under different operating conditions.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

Mixed-flow pump cavitation characteristics extraction based on power spectrum density through pressure pulsation signal analysis

Wentao Xu, Li Cheng, Shuaihao Lei, Lei Yu, Weixuan Jiao

Summary: In this study, a high-precision hydraulic mechanical stand and a vertical mixed-flow pumping station device were used to conduct research on cavitation signals of mixed-flow pumps. By analyzing the water pressure pulsation signal, it was found that the power spectrum density method is more sensitive and capable of extracting characteristics compared to traditional time-frequency domain analysis. This has significant implications for the identification and prevention of cavitation in mixed-flow pump machinery.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

Design of a two-stage compliant asymmetric piezoelectrically actuated microgripper with parasitic motion compensation

Xiaodong Chen, Kang Tai, Huifeng Tan, Zhimin Xie

Summary: This paper addresses the issue of parasitic motion in microgripper jaws and its impact on clamping accuracy, and proposes a symmetrically stressed parallelogram mechanism as a solution. Through mechanical modeling and experimental validation, the effectiveness of this method is demonstrated.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)

Article Engineering, Mechanical

Influences of inclined crack defects on vibration characteristics of cylindrical roller bearings

Zhifeng Shi, Gang Zhang, Jing Liu, Xinbin Li, Yajun Xu, Changfeng Yan

Summary: This study provides useful guidance for early bearing fault detection and diagnosis by investigating the effects of crack inclination and propagation direction on the vibration characteristics of bearings.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2024)