Results 161 to 170 of about 15,373 (210)
Some of the next articles are maybe not open access.
2009
A beam is defined as a structure having one of its dimensions much larger than the other two. The axis of the beam is defined along that longer dimension, and a crosssection normal to this axis is assumed to smoothly vary along the span or length of the beam. Civil engineering structures often consist of an assembly or grid of beams with cross-sections
Bauchau, Olivier, Craig, J.I.
openaire +2 more sources
A beam is defined as a structure having one of its dimensions much larger than the other two. The axis of the beam is defined along that longer dimension, and a crosssection normal to this axis is assumed to smoothly vary along the span or length of the beam. Civil engineering structures often consist of an assembly or grid of beams with cross-sections
Bauchau, Olivier, Craig, J.I.
openaire +2 more sources
2021
This chapter presents the analytical description of thin, or so-called shear-rigid, beam members according to the Euler–Bernoulli theory. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equations, which describe the physical ...
openaire +1 more source
This chapter presents the analytical description of thin, or so-called shear-rigid, beam members according to the Euler–Bernoulli theory. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equations, which describe the physical ...
openaire +1 more source
Euler–Bernoulli Beams and Frames
2016This chapter starts with the analytical description of beam members. Based on the three basic equations of continuum mechanics, i.e. the kinematics relationship, the constitutive law and the equilibrium equation, the partial differential equation, which describes the physical problem, is derived.
Andreas Öchsner, Marco Öchsner
openaire +2 more sources
Chaotic dynamics of flexible Euler-Bernoulli beams
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2013Mathematical modeling and analysis of spatio-temporal chaotic dynamics of flexible simple and curved Euler-Bernoulli beams are carried out. The Kármán-type geometric non-linearity is considered. Algorithms reducing partial differential equations which govern the dynamics of studied objects and associated boundary value problems are reduced to the ...
Awrejcewicz, J. +5 more
openaire +2 more sources
A family of isospectral Euler–Bernoulli beams
Inverse Problems, 2010In this paper we consider the class of Euler–Bernoulli beams such that the product between the bending stiffness and the linear mass density is constant. Under the assumption that the end conditions are any combination of pinned and sliding, we obtain closed-form expressions for beams isospectral to a given one.
GLADWELL GML, MORASSI, Antonino
openaire +1 more source
Approximate Solutions to Euler–Bernoulli Beam Type Equation
Mediterranean Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Md. Maqbul, Nishi Gupta
openaire +1 more source
Dynamic analogy between Timoshenko and Euler–Bernoulli beams
Acta Mechanica, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De Rosa M. A. +4 more
openaire +2 more sources
2019
This chapter covers the continuum mechanical description of thin beam members. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law and the equilibrium equation, the partial differential equation, which describes the physical problem, is derived.
openaire +1 more source
This chapter covers the continuum mechanical description of thin beam members. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law and the equilibrium equation, the partial differential equation, which describes the physical problem, is derived.
openaire +1 more source
1986
The free undamped infinitesimal transverse vibrations, of frequency ω*, of a thin straight beam of length l shown in Figure 10.1.1 are governed by the Euler-Bernoulli equation $$\frac{{{d^2}}}{{d{x^2}}}\left( {EI(x)\frac{{{d^2}u(x)}}{{d{x^2}}}} \right) = A(x)\rho {\omega ^{ * 2}}u(x),0\underline < x\underline < \ell .$$ (10.1.1) .
openaire +1 more source
The free undamped infinitesimal transverse vibrations, of frequency ω*, of a thin straight beam of length l shown in Figure 10.1.1 are governed by the Euler-Bernoulli equation $$\frac{{{d^2}}}{{d{x^2}}}\left( {EI(x)\frac{{{d^2}u(x)}}{{d{x^2}}}} \right) = A(x)\rho {\omega ^{ * 2}}u(x),0\underline < x\underline < \ell .$$ (10.1.1) .
openaire +1 more source
Fragile points method for Euler–Bernoulli beams
European Journal of Mechanics - A/SolidszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abinash Malla, Sundararajan Natarajan
openaire +2 more sources