DQM Analysis of multi-Directional FGM Micro Plats for buckling and vibration

Abstract In the realm of Micro Electro-Mechanical Systems (MEMS) ,comprehending their behaviour is paramount importance for practical applications. Analsing these structures often becomes intricate due to size effets,rendering traditional methods like Finite Element Analysis inadequate. This study aims to address this challenge by developing a micro-plate model integrating the modified couple stress theory, which capturesinherent size effects in MEMS. The primary objective is to investigate critical loads and resonant frequencies of mirco-plates through meticulous parametric and comparative analysis, considering length scale parameters, material gradient indices, and aspect ratios as per the modified couple stress theory. The research focuses on multi-layer multi-directional functionally graded sandwich thin rectangular microplates under mechanical loading, employing the principle of virtual displacement and Kirchhoff's hypothesis. Physical properties across thickness, length and width diections, along side various boundary conditions are examined usig Power law, Exponential and Sigmoidal law functions. This study models various types of functionally graded thin micro plates depending on the material variation in axial, depth and multi-directions using the modified differential quadrature method showing effectiveness, simplicity, and high accuracy. The results presented herein serve as a benchmark for validating future experimental findings. The notable advantage of using sandwich plates is the mitigation odelamination issues typically encountered in composite structures. Micro plate of complexgeometry with curved boundary has also been analyzed.