The free vibration analysis of rotating functionally graded (FG) nano-beams under an in-plane thermal loading is provided for the first time in this paper. The formulation used is based on Euler-Bernoulli beam theory through Hamilton’s principle and the small scale effect has been formulated using the Eringen elasticity theory. Then, they are solved by a generalized differential quadrature meth...

Diffraction is a cornerstone of optical physics and has implications for the design of all optical systems. The paper discusses the so-called ‘non-diffracting’ light field, commonly known as the Bessel beam. Approximations to such beams can be experimentally realized using a range of different means. The theoretical foundation of these beams is described and then various experiments that make u...

Based on the bending experiment for two-span continuous post-tension beams with unbounded tendons and externally applied CFRP sheets, the analysis of the stress increment of unbonded tendons is monitored in the loading process. Since self-compacting concrete (SCC) is a suitable innovation,, understanding the implementation of this type of concrete on the ultimate unbonded tendon stress is criti...

A vibrating string, modelled by the wave equation, with an interior mass is considered. It is viewed as a linear delay system. A trajectory tracking problem is solved using a new type of controllability.

Abstract We show that solutions for a specifically scaled nonlinear wave equation of elasticity converge to linear Euler–Bernoulli beam system. construct an approximation the solution, using suitable asymptotic expansion ansatz based upon one-dimensional equation. Following this, we derive existence appropriately initial data and can bound difference between analytical solution approximating se...