Beyond Bassett 1 and Erskine : Beam - Beam Deflections for Non - Gaussian
نویسنده
چکیده
Generalizations of the well-known Bassetti and Erskine formula to include tilt angle and non-Gaussian particle distributions, as well as centroid deflections, are derived.
منابع مشابه
Comparison study between layered and functionally graded composite beams for static deflection and stress analyses
The aim of this paper is to compare the static deflections and stress results of layered and functionally graded composite beams under static load. In the comparison study, the results obtained for a cantilever beam under point load. The Timoshenko beam and the Euler-Bernoulli beam theories are used in the beam model. The energy based Ritz method is used for the solution of the problem and alge...
متن کاملApplication of linear and nonlinear vibration absorbers for the nonlinear beam under moving load
Recently, a large amount of studies have been related to nonlinear systems with multi-degrees of freedom as well as continuous systems. The purpose of this paper is to optimize passive vibration absorbers in linear and nonlinear states for an Euler-Bernoulli beam with a nonlinear vibratory behavior under concentrated moving load. The goal parameter in the optimization is maximum deflection of t...
متن کاملLarge and small deflections of a cantilever beam
"Large and small deflections of a cantilever beam".Large and small deflections of a cantilever beam". ABSTRACT The classical problem of deflection of a cantilever beam of linear elastic material, under the action of an external vertical concentrated load at the free end, is analyzed. We present the differential equation governing the behaviour of this physical system and show that this equation...
متن کاملABCD matrix for reflection and refraction of laser beam at tilted concave and convex elliptic paraboloid interfaces and studying laser beam reflection from a tilted concave parabola of revolution
Studying Gaussian beam is a method to investigate laser beam propagation and ABCD matrix is a fast and simple method to simulate Gaussian beam propagation in different mediums. Of the ABCD matrices studied so far, reflection and refraction matrices at various surfaces have attracted a lot of researches. However in previous work the incident beam and the principle axis of surface are in parallel...
متن کاملNumerical resolution of large deflections in cantilever beams by Bernstein spectral method and a convolution quadrature.
The mathematical modeling of the large deflections for the cantilever beams leads to a nonlinear differential equation with the mixed boundary conditions. Different numerical methods have been implemented by various authors for such problems. In this paper, two novel numerical techniques are investigated for the numerical simulation of the problem. The first is based on a spectral method utiliz...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1991