Rahul Saini has his expertise in vibration, buckling and bending analysis of beams, plates, nanobeams and nanoplates made of functionally graded materials (ceramic+metal). He has developed the codes of algorithms for numerical techniques used to solve the modelled differential equations. He has derived the modified boundary conditions to avoid the paradoxes in the nanoplates with free boundary conditions. He has built this model after years of experience in research, evaluation, teaching and administration in education institutions.
The Eringen’s nonlocal theory shows paradoxes for free boundary conditions while studying the vibration, thermo-mechanical and bending behavior of nanobeams and nanoplates. To avoid this issue, the modified
boundary conditions are developed for the free asymmetric vibrations of Functionally Graded (FG) annular nanoplates under thermal environment. Hamilton’s principle is used to obtain the governing equations on the
basis of first-order shear deformation theory together with Eringen’s nonlocal elasticity theory. The quadrature method along with the Chebyshev collocation method was adopted. The choice of method is based on the rate
of convergence of the method and then employs the same to obtain the numerical values of frequencies. The effect of various parameters together with nonlocal boundary conditions on the non-dimensional frequencies
was studied. The validation of results with those available in the literature is presented to validate the accuracy of the results and the efficiency of the authors’ technique.