Vibration and Dynamic behavior of Multi-Layer Sandwich Composite Piezoelectric Micro Beam Using Higher-Order Elasticity Theory

Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

Mehrdad Soltani ^{1 *} , Javad Jafari ^{2 *} , Seyed Ali Galehdari ³ , Rasoul Tarkesh Esfahani ⁴ , Mohamad Shahgholi ⁵

1 - Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
2 - Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
3 - Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
4 - Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
5 - Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

Received: 2024-07-28 Accepted : 2024-12-17 Published : 2025-03-01

Keywords: Multi-Layer Sandwich Composite, Micro beam, higher-order elasticity theory, vibration and dynamic analysis ,

Abstract :

Numerous scientists have examined the mechanical properties of materials at the micro- and nanoscale in recent years. Conversely, the remarkable advancements in micro and nanotechnology across several fields and industries, such as their extensive applications in micro- and nano-electro-mechanical systems (MEMS and NEMS), have piqued the curiosity of researchers. In this paper, vibration and dynamic behavior of multi-layer sandwich composite piezoelectric micro beam using higher-order elasticity theory by considering strain gradient and surface effects are investigated. The Hamilton’s principle is utilized to derive the sandwich micro beam model with Gurtin- Murdoch surface theory and generalized differential quadrature method is used to discretize and solve the differential equation Moreover, the effects of higher order materials and geometry of model on control respond and frequency behavior have been presented. In addition, the role of different theories based FFT results has been examined. The results show that the small material length scale considering in the higher order theories plays a key role in the dynamic respond of models. Also, the result of higher order theories should be considered in micro and nano scale and the classical theory could not predict the mechanical behavior very well. The study's conclusions imply that the effectiveness of controller scheme is within the piezoelectric voltage range in terms of vibration control and feedback damping factors.

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