Study on Electromechanical Behavior of Functionally Graded Piezoelectric Composite Beams

Ma, Xiang; Wang, Shuai; Zhou, Bo; Xue, Shifeng

doi:10.1017/jmech.2020.44

Cited by 9 publications

(4 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The volume content of the components in functionally graded piezoelectric materials varies continuously in spatial position, which effectively alleviates the problems of strain concentration and uneven stress distribution and achieves the synergistic effect of the multiple properties [16,17]. However, the heterogeneity and electromechanical coupling of the functionally graded piezoelectric structures (FGPSs) bring some challenges to mechanical analysis.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of functionally graded piezoelectric bionic fishtail based on Hermite element-free method

Ma,

Zhou,

et al. 2024

Funct. Compos. Struct.

Self Cite

View full text Add to dashboard Cite

Piezoelectric bionic fishtails have good flexibility, response speed, anti-interference ability, and have great application prospects in ocean exploration. However, the inherent drawbacks of the mechanical properties of traditional homogeneous piezoelectric materials significantly affect the propulsion performance and reliability of the piezoelectric bionic fishtails. To fill this gap, this paper develops a functionally graded piezoelectric bionic fishtail (FGPBF) by imitating the tail characteristics of groupers. The geometric structure and working principle of the FGPBF are introduced in detail. Based on the first-order shear deformation theory and Hermite element-free method, an element-free model for the FGPBF is established. The effects of gradient factor, substrate material, substrate thickness and electrical load on the propulsion performance of the FGPBF are addressed. The results show that the current results are in good agreement with the finite element results. The deformation of the FGPBF is negatively correlated with the thickness and stiffness of the substrate and linearly positively correlated with the electrical load. As the gradient factor increases, the deflection of the FGPBF first increases and then decreases. When the gradient factor is 2, the potential is 200 V, the dimensionless aluminum substrate thickness is 1, the propulsion performance of the FGPBF is improved by 28% compared to the homogeneous piezoelectric bionic fishtail.

show abstract

Section: Introductionmentioning

confidence: 99%

Numerical analysis of functionally graded piezoelectric bionic fishtail based on Hermite element-free method

Ma,

Zhou,

et al. 2024

Funct. Compos. Struct.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Nadirzadeh et al [23] explored the buckling behavior and bifurcation point of an FG piezoelectric beam using the finite element method. Ma et al [24] investigated the electromechanical behavior of FG piezoelectric composite beams subjected to an electrical load. Employing the electromechanical coupling theory and load simulation method, the expression of the simulation loading of piezoelectric actuators was obtained.…”

Section: Introductionmentioning

confidence: 99%

Longitudinal–Transverse Vibration of a Functionally Graded Nanobeam Subjected to Mechanical Impact and Electromagnetic Actuation

Herişanu

Marinca

2023

Symmetry

View full text Add to dashboard Cite

This study addresses the nonlinear forced vibration of a functionally graded (FG) nanobeam subjected to mechanical impact and electromagnetic actuation. Two symmetrical actuators were present in the mechanical model, and their mechanical behaviors were analyzed considering the symmetry in actuation. The model considered the longitudinal–transverse vibration of a simple supported Euler–Bernoulli beam, which accounted for von Kármán geometric nonlinearity, including the first-order strain–displacement relationship. The FG nanobeam was made of a mixture of metals and ceramics, while the volume fraction varied in terms of thickness when a power law function was used. The nonlocal Eringen theory of elasticity was used to study the simple supported Euler–Bernoulli nanobeam. The nonlinear governing equations of the FG nanobeam and the associated boundary conditions were gained using Hamilton’s principle. To truncate the system with an infinite degree of freedom, the coupled longitudinal–transverse governing equations were discretized using the Galerkin–Bubnov approach. The resulting nonlinear, ordinary differential equations, which took into account the curvature of the nanobeam, were studied via the Optimal Auxiliary Functions Method (OAFM). For this complex nonlinear problem, an explicit, analytical, approximate solution was proposed near the primary resonance. The simultaneous effects of the following elements were considered in this paper: the presence of a curved nanobeam; the transversal inertia, which is not neglected in this paper; the mechanical impact; and electromagnetic actuation. The present study proposes a highly accurate analytical solution to the abovementioned conditions. Moreover, in these conditions, the study of local stability was developed using two variable expansion methods, the Jacobian matrix and Routh–Hurwitz criteria, and global stability was studied using the Lyapunov function.

show abstract

“…Then, researched the free vibration of a functionally graded piezoelectric laminate nanoplate by the Hamilton's principle and nonlocal elastic theory. The electromechanical response of a piezoelectric composite beam was analyzed by Ma et al (2020b) using the load simulation method. Based on the Ritz-Lagrange formulation, Arefi and Najafitabar (2021) studied the buckling and free vibration of a functionally graded sandwich beam.…”

Section: Introductionmentioning

confidence: 99%

A Hermite interpolation element-free Galerkin method for piezoelectric materials

Zhou

Xue

2022

Journal of Intelligent Material Systems and Structures

Self Cite

View full text Add to dashboard Cite

Piezoelectric materials have played an important role in industry due to a number of beneficial properties. However, most numerical methods for the piezoelectric materials need mesh, in which the mesh generation and remeshing are prominent difficulties. This paper proposes a Hermite interpolation element-free Galerkin method (HIEFGM) for piezoelectric materials, where the Hermite approximate approach and interpolation element-free Galerkin method (IEFGM) are combined. Based on the constitutive equation, geometric equation, and Galerkin integral weak form, the HIEFGM formulation for piezoelectric materials is established. In the proposed method, the problem domain is discretized by many nodes rather than the meshes, so the pre-processing of numerical computation is simplified. Furthermore, a new approximation technique based on the moving least squares method and Hermite approximate approach is used to derive the approximation function of field quantities. The derived approximation function has the Kronecker delta property and considers the field quantity normal derivatives of boundary nodes, which avoids the problem of imposing the essential boundary conditions and improves the accuracy of meshless approximation. The effects of the scaling factor, node density, and node arrangement on the accuracy of the proposed method are investigated. Numerical examples are given for assessing the proposed method and the results uniformly demonstrate the proposed method has excellent performance in analyzing piezoelectric materials.

show abstract

Study on Electromechanical Behavior of Functionally Graded Piezoelectric Composite Beams

Cited by 9 publications

References 35 publications

Numerical analysis of functionally graded piezoelectric bionic fishtail based on Hermite element-free method

Numerical analysis of functionally graded piezoelectric bionic fishtail based on Hermite element-free method

Longitudinal–Transverse Vibration of a Functionally Graded Nanobeam Subjected to Mechanical Impact and Electromagnetic Actuation

A Hermite interpolation element-free Galerkin method for piezoelectric materials

Contact Info

Product

Resources

About