Vibration and thermal buckling analyses of three-layered centrosymmetric piezoelectric microplates based on the modified consistent couple stress theory

Abstract

In this study, free and forced vibration investigations and thermal buckling analysis of three-layered centrosymmetric piezoelectric microplates are examined. To model the size effects, the size-dependent consistent couple stress theory is used. To be compatible with the modified coupled stress theory, a modification is proposed to apply to the consistent couple stress theory. Resorting to the Navier’s approach, the governing equations are treated in the case of simply supported boundary conditions to extract the free and forced vibration outcomes and the thermal buckling numerical results. The verifications demonstrate the effectiveness of the proposed modification. The effects of the material length scale parameter and the flexoelectricity coefficient on the findings are investigated. Moreover, the closed- and open-circuit condition impacts on the free and forced vibration and the thermal buckling analyses are studied.

Free vibration characteristics of viscoelastic nano-disks based on modified couple stress theory

“…In this regard, Shafiei et al 24 analyzed the free vibration and stability of the single/multi-layered graphene sheets with the help of MCST. In another study, Abbaspor et al 25 employed MCST to investigate the thermal buckling and the vibration of three-layered microplates made of centrosymmetric piezoelectric. Furthermore, MCST was utilized by Alizadeh et al 26 to evaluate the free torsional vibrational behavior of triangle micro-wire.…”

A Free Vibration Analysis of Laminated Microplates Reinforced By Graphene Platelets Integrated with Piezoelectric Facesheets, Resting on an Elastic Foundation, and Subjected to Thermoelectrical Loads

“…Arefi et al (2020) [12] studied the free vibrations of FGM micropates with two integrated piezoelectric facesheets on the basis of the MCST. Abbaspour and Arvin (2020) [13] employed a consistent couple stress theory to examine the free and forced vibrations and the thermal buckling of simply supported thin centrosymmetric microplates. The Navier technique was employed to formulate the dynamics of the microplate.…”

Анализ Свободных Колебаний Слоистых Микропластин С Пластинками Графена И Пьезоэлектрическими Лицевыми Слоями, Покоящихся На Упругом Основании И Подверженных Термоэлектрическим Нагрузкам

“…В [12] посредством MТМН исследовали свободные колебания микропластин из функционально-градиентного материала с двумя интегрированными пьезоэлектрическими слоями. В [13] использовали согласованную теорию моментных напряжений для изучения свободных и вынужденных колебаний и термической потери устойчивости тонких симметричных шарнирно опертых микропластин. В [14] для изучения динамики микропластины использовали метод Навье.…”