In this study, a novel and very simple finite element procedure is presented for free vibration and buckling analysis of slim beam-like structures damaged by edge cracks. A cracked region of a beam is modeled using a very short element with reduced second moment of area (I). For computing reduced I in a cracked region, the elementary theory of bending of beams and local flexibility approach are...

ABSTRACT: This paper describes analysis of deep beams subjected to two point loading with three different L/D ratios (1.5, 1.6, 1.71) using Non-linear Finite element method (ANSYS 9.0 software) in order to investigate the stress and strain distribution pattern at mid-section of the beam. In ANSYS 9.0 software, SOLID 65 and LINK 8 element represent concrete and reinforcing steel bars. Non-linear...

This paper sheds more light on the co-rotational element formulation for beams with uniform cross-section. The co-rotational elements are commonly used in problems in which a structure undergoes a large deformation. In this study, the foregoing element obeys the Euler-Bernoulli beam assumptions. Unlike the formulations presented in the literature, in this paper, a number of local nodal coordina...

Collocation methods are popular in providing numerical approximations to complicated governing equations owing to their simplicity in implementation. However, point collocation methods have limitations regarding accuracy and have been modified upon with the application of B-spline approximations. The present study reports the stress and deformation behavior of shear deformable functionally grad...

The spin angular momentum (AM) of a light beam appears due to presence of circular or elliptic polarization. Its characterization is coupled with some paradoxical features which are commonly recognized but, to our opinion, are not satisfactorily explained in the known literature. Namely, for a spatially-homogeneous circularly polarized beam, the spin AM density is zero at every point of the bea...

This technical note will first review the studies that were done for the Gun Test Facility (GTF) at SSRL, where a photoinjector similar to the one proposed for the LCLS is being tested. In Section 3 the maximum charge out of the gun for a single rf pulse is calculated. In Section 4, PARMELA simulations are used to track the beam from the gun to the end of the photoinjector. Finally in Section 5...

Abstract In this paper, we conduct research of the waveguide strength under icing. Icing is assumed to be uniform along perimeter and length waveguide, so ice deposits considered in form an equivalent increase density structure. As a result, icing problem reduced gravitational bending waveguide. Waveguide has thin-walled rectangular cross-section; therefore, solution demand using theory plate. ...

Abstract The calculation of fusion reactivity involves a complex six-dimensional integral that takes into account the cross section and velocity distributions two reactants. However, more simplified one-dimensional form can be useful in certain cases, such as for studying yield or diagnosing ion energy spectra. This simpler has been derived few special combination Maxwellian distributions, beam...

Analytical methods presented to analyze the buried steel pipelines at strike-slip fault crossing use the Euler-Bernoulli beam theory. The cross-section of a buried pipe that is completely surrounded by soil cannot rotate freely and would not be remained perpendicular to the bending line after deformation. So it would be better to take into consideration a rotation between the cross-section and ...