In this paper, a crack localization method for Euler-Bernoulli beams via an efficient static data based indicator is proposed. The crack in beams is simulated here using a triangular variation in the stiffness. Static responses of a beam are obtained by the finite element modeling. In order to reduce the computational cost of damage detection method, the beam deflection is fitted through a poly...

This paper presents responses of an edge circular cantilever beam under the effect of an impact force. The beam is excited by a transverse triangular force impulse modulated by a harmonic motion. The Kelvin-Voigt model for the material of the beam is used. The cracked beam is modelled as an assembly of two sub-beams connected through a massless elastic rotational spring. The considered problem ...

The study and application of optical vortices have gained significant prominence over the last two decades. An interesting challenge remains the determination of the azimuthal index (topological charge) ℓ of an optical vortex beam for a range of applications. We explore the diffraction of such beams from a triangular aperture and observe that the form of the resultant diffraction pattern is dep...

Topics Direct Approach for Discrete Systems Strong and Weak Forms for One-Dimensional Problems Second order boundary value problems (1D) Scalar field problems: heat conduction, advection-diffusion Triangular elements Computer implementation Isoparametric elements Numerical integration Vector field problems: elasticity equations Beam elements Eigenvalue problems Time dependent problems Special t...

Preparation, control, and measurement of optical vortices are increasingly important, as they play essential roles in both fundamental science technology applications. Spatial light modulation is the main approach behind control strategies, although there limitations concerning controllable wavelength. It therefore crucial to develop approaches that expand spectral range modulation. Here, we de...

Free-standing "AMTIR-1" (Ge33As12Se55) chalcogenide glass films have been patterned using a focused ion beam (FIB) to create two-dimensional photonic crystal membranes. The triangular lattices were selected for a photonic bandgap relevant to fiber telecommunications. Optical measurements of transmission spectra as a function of incident angle showed clear signs of Fano resonances, indicating th...

In this paper we make a Lie symmetry analysis of a generalized nonlinear beam equation with both second-order and fourth-order wave terms, which is extended from the classical beam equation arising in the historical events of travelling wave behavior in the Golden Gate Bridge in San Francisco. We perform a complete Lie symmetry group classification by using the equivalence transformation group ...

We show t than a flat one. Two d of strong magnetic fie Linear Collider Collaboration Tech Notes act This note documents a set of expressions used to explore the issue of whether or not it is reasonable to er a conventional positron source for a Tesla formatted beam. The critical issue is that of energy deposition in the sion target and the comparison of the induced stress with the ultimate ten...

The ideal drive beam current profile for the plasma wakefield accelerator (PWFA) has been predicted by 1D and 2D simulations to be characterized by a triangular ramp that rises linearly from head to tail, followed by a sharp drop. A technique for generating such bunches experimentally was recently demonstrated. We present here an adaptation of this scheme to generate ramped bunches using the 23...