Results 161 to 170 of about 24,516 (216)

Exact solutions of Euler–Bernoulli beams

Modern Physics Letters B, 2023
In numerous real-world applications, transverse vibrations of beams are nonlinear in nature. It is a task to solve nonlinear beam systems due to their substantial dependence on the 4 variables of the system and the boundary conditions. To comprehend the nonlinear vibration characteristics, it is essential to do a precise parametric analysis.
Jamil Abbas Haider   +5 more
openaire   +1 more source

Euler-Bernoulli beam theory

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

Euler–Bernoulli Beam Theory

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

Euler–Bernoulli Beams and Frames

2016
This 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, 2013
Mathematical 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

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