Abstract: We consider the solvability of a hybrid model for the vibration of a vertical slender structure mounted on an elastic seating. The slender structure is modeled as a Rayleigh beam and gravity is taken into account. The seating and foundation block are modeled as rigid bodies connected by elastic springs with damping mechanisms. We show how an existence result for a general linear vibra...

Summary This article analyses static buckling of the so-called Gao beam nonlinear model. It considers pure problems in which vertical loads are omitted. The analysis, using minimisation energy and concept a modified Rayleigh quotient, leads to new results regarding critical load necessary for buckling, existence number post-buckling solutions. Computational provided cases with fixed axial loadi...

In this study, the free vibration analysis of smart vibration control (SVC) systems based on Reddy – Levinson model and modified strain gradient theory is developed. This system consist of a micro beam at middle and two magneto-electro-elastic (MEE) composite micro beams at top and bottom which connected by enclosing elastic medium and simulated by Winkler and Pasternak foundation. The effects ...

We probe volar-side fingertip capillary beds with near-infrared laser light and collect Raman, Rayleigh, and Mie scattered light and fluorescence. The results are interpreted using radiation transfer theory in the single-scattering approximation. The surface topography of the skin is modeled using the Fresnel equations. The skin is treated as a three-layer material, with a mean-field treatment ...

The theory of photokinetic effects expresses the forces and torques exerted by a beam of light in terms of experimentally accessible amplitude and phase profiles. We use this formalism to develop an intuitive explanation for the performance of optical tweezers operating in the Rayleigh regime, including effects arising from the influence of light's angular momentum. First-order dipole contribut...

We establish dispersion engineering rules that allow us to control the thermalization process and thermal state of an initial beam propagating in a multimode nonlinear photonic circuit. To this end, we have implemented kinetic equation (KE) approach systems whose Bloch relation exhibits bands gaps. When ratio between gap-width band-width is larger than critical value, KE has stationary solution...

Nanoscale defects on the surface of ultra-precision optical elements seriously affect beam quality in systems. In response to challenge detecting nanoscale component surfaces, we propose a method for detection and classification various types surfaces via reflection Mueller matrix spectroscopy (RMMS). Firstly, an electromagnetic scattering theoretical model incident scattered fields were establ...

This article proposes to determine and identify the physical contributions that drive internal resonance between bending torsion modes of a blade. The blade is modeled as nonlinear beam including warping, twist pre-bending, discretization scheme based on Rayleigh–Ritz approximation performed. modal properties model are compared validated using theory finite element modeling. Several configurati...

The paper presents measurement procedures for the evaluation of velocity/displacement components of surface elastic waves through a single beam Laser Vibrometer. The developed technique is applied for the estimation of Rayleigh wave polarization in aluminum specimens. The estimated polarization orbits are compared with the analytical ones to demonstrate the effectiveness of the measurement tech...

In this paper, bending analysis of concentric and eccentric beam stiffened square and rectangular plate using the meshless collocation method has been investigated. For detecting the governing equations of plate and beams, Mindlin plate theory and Timoshenko beam theory have been used, respectively, with the stiffness matrices of the plate and the beams obtained separately. The stiffness matric...