Analysis of thermoelastic damping and frequency shift of nano-scale piezoelectric fiber-reinforced thermoelastic composite beam under single, dual, and three phase-lag models: A comparative approach

IF 5.7 1区 工程技术 Q1 ENGINEERING, CIVIL
Abhishek Kumar Singh , Sayantan Guha , Arpita Maji
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引用次数: 0

Abstract

Thermoelastic damping (TED) & frequency shift (FS) have become key concerns in modeling and designing micro and nanoelectromechanical systems (MEMS/NEMS). As a result, significant research efforts are focused on reducing thermoelastic damping in MEMS/NEMS. This motivated us to analytically study TED and FS in nano-scale piezoelectric fiber-reinforced composite (PFRC) thermoelastic beams comprising PZT-5A and epoxy. The linearized Euler–Bernoulli theory is assumed and the adopted generic beam structure is treated by four sets of different conditions at its boundaries to model four distinct beams, viz., clamped-clamped (CC), simply supported-simply supported (SS), clamped-free (CF) & clamped simply supported (CS) types. We employed the Newton–Raphson method to calculate the eigenvalues of each type of beam for numerically accurate results. One of the highlights of this work is the simultaneous analysis of three-phase-lag (TPL), dual-phase-lag (DPL), and single-phase-lag (SPL) thermoelastic models under Green–Naghdi III (G-N III) thermoelasticity theory. The influences of thermal relaxation parameters, volume fraction of fibers, nano beam dimensions, and first two modes on the TED & FS are studied by means of graphs. The influences of all existing parameters on critical thickness and critical length of all four beams are also meticulously analyzed. By comparing the results with previous literature, their validity is confirmed. In comparison to a monolithic piezothermoelastic beam, the PFRC thermoelastic beams exhibit higher quality factor (Q-factor). This generates appropriate values of Vf to design & optimize frequency-sensitive PFRC thermoelastic nano beams.
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来源期刊
Thin-Walled Structures
Thin-Walled Structures 工程技术-工程:土木
CiteScore
9.60
自引率
20.30%
发文量
801
审稿时长
66 days
期刊介绍: Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.
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