Free vibration and thermoelastic damping analysis of size-dependent piezoelectric circular plate considering surface effect and nonlocal dual-phase-lag heat conduction model
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引用次数: 0
Abstract
Based on classical mechanics methods, this paper examines the size-dependent thermal-mechanical-electrical (TME) coupling performance of a piezoelectric thermoelastic circular nanoplate. The governing equation of the temperature field was derived from the nonlocal dual-phase lag heat conduction model (NDPL model), the fundamental energy balance equation, and the constitutive expression of the entropy. The influence of the surface effect was introduced into the equations of motion and the electric field in the form of surface tension and surface electric displacement, respectively. Analytical solutions for temperature variation, resonant frequency (RF), thermoelastic damping (TED), frequency shift (FS), and frequency attenuation (FA) were obtained. The correctness of the TED expression has been verified. Based on the numerical results, it is worth noting that the nonlocal thermal length (NTL) parameter reduces the real and imaginary parts of temperature variation gradient within the range of small-size effect, thereby decreasing the TED and the FS due to reduced TME coupling. Moreover, as the NTL parameter increases, the impact of thermal relaxation time on TED becomes more significant, while the surface effect on TED is relatively weaker. Additionally, the influences of key factors on TED and FS were discussed. This study showed that the surface effect and the nonlocal thermal effect have distinct impacts on TME coupling behavior. This research is helpful for the design of high-performance piezoelectric resonators.
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.