In this article free vibration of a Timoshenko nanobeam with variable cross-section is investigated using nonlocal elasticity theory within the scope of continuum mechanics. Small scale effects are modelled after Eringen’s nonlocal elasticity theory while the non-uniformity is presented by exponentially varying width through the beam length with constant thickness. Analytical solution is achiev...

This announcement presents asymptotic formulas for the eigenvalues of a free-free uniform Timoshenko beam. Suppose a structural beam is driven by a laterally oscillating sinusoidal force. As the frequency of this applied force is varied, the response varies. Experimental frequencies for which the response is maximized are called natural frequencies of the beam. Our goal is to address the questi...

The paper outlines a beam non linear formulation capable of describing the three dimensional behaviours of composite blades and usable in an optimization system. The response couplings are all taken into account by the method used to characterize the beam cross section. Such a linear constitutive law represents the starting point for an updated Lagrangian formulation of the beam elastic problem...

The scattering characteristic of paraxial gaussian beam from two dimensional dielectric rough surfaces is studied in this paper. The modification of the Kirchhoff approximation theory for rough surface scattering by an incident gaussian beam instead of a plane wave are developed based on conventional Kirchhoff scattering theory and plane wave spectrum expansion method. The coherent and incohere...

An experimental study is conducted to show the effect of the change in bandwidth of light on the spectral degree of coherence at a pair of points in the cross section of a beam. For this purpose a polychromatic source and a monochromator with variable entrance and exit slits were used to produce a variable bandwidth source. The classic Young's interferometer was used to produce an interference ...

Additive manufacturing or 3D printing gained a widespread popularity in recent years due to the ability of method manufacture components with high geometrical complexity. The most cost-effective process plastic parts using is fused deposition modeling (FDM) method. Process parameters as infill rates but also printed pattern different layers and their orientation have significant influence on me...