NUMERICAL SOLUTION OF SOME PROBLEMS ON STATIC AND DYNAMIC BEHAVIOR OF FGM NANOSTRUCTURES UNDER COMPLICATING EFFECTS

Abstract

Vibration is a well-known phenomenon, which occurs not only in physical science and engineering, but in everyday life such as house hold goods such as mixer, grinder and washing machines etc. With the advancement of science and technology, vibrations are of great importance even at nanoscale, particularly in nano-electro-mechanical systems (NEMS), actuators, resonators, sensors etc. In recent years, functionally graded (FG) nanostructures independently or integrated in nanodevices have been extensively used in various fields of science and technology e.g., in medical engineering, aerospace industry, automotive industry, communication industry, aviation security, highly sensitive detectors, sensors, thermo-generators, etc. By nature, FG nanostructures are microscopically heterogenous and own the desirable characteristics such as light-weight, high-strength, large surface-to-volume ratio, enhanced thermal resistivity, controlled frequencies, high-performing flexibility, etc. These capabilities of structures have been achieved by scaling down their dimensions at nanoscale and continuously varying material properties as a mixture of ceramic and metals. The FG nanostructures are smart and advanced with self-controlling and self-monitoring properties, which can sustain efficiently in multidirectional thermal field and loading conditions. Furthermore, the recently emerged bi-directional functionally graded materials (BD-FGMs) bring the revolutionary change in these applications. Among various types of FG nanostructures, nanobeams and nanoplates are most commonly used structures. Keeping this in view, their efficient utilization requires the throughout knowledge of their static and dynamic behavior under various complicating effects such as in-plane load, thermal environment, surface effect, elastic foundation etc. In this regard, a sufficient number of investigations dealing with one-directionally FG nanobeams and nanoplates of various geometries have appeared in the literature. However, the work on BD-FG nanobeams and nanoplates is very limited.