The new article titled “Free vibration analysis of functionally graded nanobeams via complementary functions method in the Laplace domain,” authored by Asst. Prof. Ahmad Reshad NOORI, Chair of the Civil Engineering Department, has been published.
The study presents a unified framework for analyzing the free vibration behavior of functionally graded nanobeams within Eringen’s nonlocal elasticity theory, formulated consistently under both Euler–Bernoulli and Timoshenko beam theories. The governing equations are derived in a unified canonical closed-form manner and solved using the Complementary Functions Method implemented in the Laplace domain.
A comprehensive parametric investigation considers various boundary conditions, slenderness ratios, material gradation indices, and nonlocal parameters. The results confirm monotonic frequency softening with increasing nonlocal parameter and with grading toward the softer constituent. The discrepancy between Euler–Bernoulli and Timoshenko theories is most pronounced at low slenderness ratios, while convergence is observed as slenderness increases.
The findings provide benchmark frequency data for future refined or multi-physics nanobeam models.
The department congratulates Asst. Prof. Ahmad Reshad NOORI on this valuable academic contribution and wishes him continued success in his research endeavors.
