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On the Mode Localization Between Two Unidentical Resonators with Different Bending Modes for Acceleration Sensing. [PDF]
Sensors (Basel)Yang B, Lyu M, Zhao J, Kacem N.
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Vibration Analysis of Porous Cu-Si Microcantilever Beams in Fluids Based on Modified Couple Stress Theory. [PDF]
Nanomaterials (Basel)Jiang J, Tang F, He S, Dong F, Liu S.
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Chaotic dynamics of flexible Euler-Bernoulli beams
Chaos, 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 ...
Jan Awrejcewicz +2 more
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On the Curvature of an Euler–Bernoulli Beam
International Journal of Mechanical Engineering Education, 2003This paper deals with different approaches to describing the relationship between the bending moment and curvature of a Euler—Bernoulli beam undergoing a large deformation, from a tutorial point of view. First, the concepts of the mathematical and physical curvature are presented in detail.
KOPMAZ, OSMAN, GÜNDOĞDU, ÖMER
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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
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Exact solutions of Euler–Bernoulli beams
Modern Physics Letters B, 2023In 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
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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
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