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...

Cracks cause to change dynamic response of beams and make discontinuity in slope of the deflection of the beams. The dynamic analysis of the Euler-Bernoulli cracked beam on the elastic foundation subjected to the concentrated load is presented in this paper. The stiffness of the elastic foundation and elastic supports influence on vibrational characteristics of the cracked beam. The Dynamic Gre...

• A system consisting of the Euler-Bernoulli beam subjected to tendon loading is studied. The attached at tip and in several locations Computational free vibration analysis conducted validated. effect number location attachment points evaluated. Structural stability beam-tendon investigated. Free Euler–Bernoulli axially loaded by a studied paper. cantilever as well spanwise using mechanical poi...

The forced vibration behaviors are examined for nonlocal strain gradient nanobeams with surface effects subjected to a moving harmonic load travelling with a constant velocity in terms of three beam models namely, the Euler-Bernoulli, Timoshenko and modified Timoshenko beam models. The modification for nonlocal strain gradient Timoshenko nanobeams is exerted to the constitutive equations by exc...

This article deals with the mechanical analysis of a fixed-fixed nano-beam based on nonlocal elasticity theory. The nano-beam is sandwiched with two piezoelectric layers through it’s upper and lower sides. The electromechanical coupled equations governing the problem are derived based nonlocal theory considering to Euler-Bernoulli beam assumptions and based on the nonlocal piezoelectricity acco...

A triangular model base on an investigation which has done by Sinha et al. has been developed for evaluating embedded crack localization in beam-column structures. In the assessment of this member’s behavior, the effects of displacement slope are necessary. In order to propose a crack localization method for embedded crack, an efficient static data based indicator is proposed for this crack in ...

In this paper, the investigational results for a robust adaptive vibration control of a translating tensioned beam with a varying traveling speed are presented. The dynamics of the moving beam are modeled as an Euler-Bernoulli beam, in which the tension applied to the beam is given as a nonlinear spatiotemporally varying function. The moving beam span is divided into two parts, i.e., a controll...

This paper deals with the measure-theoretical entropy of a linear cellular automaton (LCA) Tf @-l,rD :m Ø m , generated by a bipermutative local rule f Ix-l, ... , xrM  ⁄i-l r ai xi Hmod mL (m ¥ 2 and l, r œ +), with respect to the Bernoulli measure mp on m  defined by a probability vector p  Ip0, p1, ... , pm-1M. We prove that the measure entropy of the one-dimensional LCA Tf @-l,rD wi...

In this paper, we give a short new proof of a recent result due to Schumacher concerning an extension of Faulhaber’s identity for the Bernoulli numbers. Our approach follows from basic manipulations involving the ordinary generating function for the Bernoulli polynomials in the context of the Zeon algebra.

It has equilibrium (and in fact reversible) measure μ the product Bernoulli measure of density p on {0, 1}Z. It can also be constructed by attaching a Poisson process clock to every site in Z. Every time a clock rings, the site is refreshed to a Bernoulli variable of parameter p, but only if its right neighbour is empty. This constraint creates the ”bubbles” one can see on the picture. A natura...