Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects

doi:10.1007/s10483-022-2897-9

Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (9): 1339-1354.doi: https://doi.org/10.1007/s10483-022-2897-9

Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects

Biao HU¹, Juan LIU¹, Yuxing WANG¹, Bo ZHANG¹, Jing WANG², Huoming SHEN¹

1. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 610031, China;
2. School of Mechanical and Electrical Engineering, Southwest Petroleum University, Chengdu 610500, China

收稿日期:2022-03-20 修回日期:2022-07-14 发布日期:2022-08-31
通讯作者: Juan LIU, E-mail: lj187@swjtu.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 11502218, 11672252, 11602204, and 12102373) and the Fundamental Research Funds for the Central Universities of China (No. 2682020ZT106)

Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects

Biao HU¹, Juan LIU¹, Yuxing WANG¹, Bo ZHANG¹, Jing WANG², Huoming SHEN¹

1. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 610031, China;
2. School of Mechanical and Electrical Engineering, Southwest Petroleum University, Chengdu 610500, China

Received:2022-03-20 Revised:2022-07-14 Published:2022-08-31
Contact: Juan LIU, E-mail: lj187@swjtu.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 11502218, 11672252, 11602204, and 12102373) and the Fundamental Research Funds for the Central Universities of China (No. 2682020ZT106)

摘要/Abstract

摘要： In this study, the wave propagation properties of piezoelectric sandwich nanoplates deposited on an orthotropic viscoelastic foundation are analyzed by considering the surface effects (SEs). The nanoplates are composed of a composite layer reinforced by graphene and two piezoelectric surface layers. Utilizing the modified Halpin-Tsai model, the material parameters of composite layers are obtained. The displacement field is determined by the sinusoidal shear deformation theory (SSDT). The Euler-Lagrange equation is derived by employing Hamilton's principle and the constitutive equations of piezoelectric layers considering the SEs. Subsequently, the nonlocal strain gradient theory (NSGT) is used to obtain the equations of motion. Next, the effects of scale parameters, graphene distribution, orthotropic viscoelastic foundation, and SEs on the propagation behavior are numerically examined. The results reveal that the wave frequency is a periodic function of the orthotropic angle. Furthermore, the wave frequency increases with the increase in the SEs.

关键词: surface effect (SE), scale parameters, orthotropic foundation, functional gradient graphene, piezoelectric sandwich nanoplate

Abstract: In this study, the wave propagation properties of piezoelectric sandwich nanoplates deposited on an orthotropic viscoelastic foundation are analyzed by considering the surface effects (SEs). The nanoplates are composed of a composite layer reinforced by graphene and two piezoelectric surface layers. Utilizing the modified Halpin-Tsai model, the material parameters of composite layers are obtained. The displacement field is determined by the sinusoidal shear deformation theory (SSDT). The Euler-Lagrange equation is derived by employing Hamilton's principle and the constitutive equations of piezoelectric layers considering the SEs. Subsequently, the nonlocal strain gradient theory (NSGT) is used to obtain the equations of motion. Next, the effects of scale parameters, graphene distribution, orthotropic viscoelastic foundation, and SEs on the propagation behavior are numerically examined. The results reveal that the wave frequency is a periodic function of the orthotropic angle. Furthermore, the wave frequency increases with the increase in the SEs.

Key words: surface effect (SE), scale parameters, orthotropic foundation, functional gradient graphene, piezoelectric sandwich nanoplate

中图分类号:

34L16
70H25

Biao HU, Juan LIU, Yuxing WANG, Bo ZHANG, Jing WANG, Huoming SHEN. Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(9): 1339-1354.

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Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects

Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects

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