Vibrations of stretched damped beams under non-ideal boundary conditions
TLDR
In this paper, a simply supported damped Euler-Bernoulli beam with immovable end conditions is considered and the concept of non-ideal boundary conditions is applied to the beam problem.Abstract:
A simply supported damped Euler-Bernoulli beam with immovable end conditions are considered. The concept of non-ideal boundary conditions is applied to the beam problem. In accordance, the boundaries are assumed to allow small deflections and moments. Approximate analytical solution of the problem is found using the method of multiple scales, a perturbation technique.read more
Citations
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Nonlinear vibrations and stability analysis of axially moving strings having nonideal mid-support conditions
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TL;DR: In this paper, nonlinear vibrations of an axially moving string are investigated using the Hamilton's principle, and stability analysis is carried out for three different cases of the excitation frequency Ω.
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Nonlinear vibrations of axially moving multi-supported strings having non-ideal support conditions
Ali Yurddaş,E. Özkaya,H. Boyaci +2 more
TL;DR: In this article, nonlinear vibrations of an axially moving multi-supported string have been investigated and the effect of non-ideal support conditions on stability boundaries and vibration amplitudes has been investigated.
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Nonlinear forced vibration response of smart two-phase nano-composite beams to external harmonic excitations
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Dynamic Characteristics of Micro-Beams Considering the Effect of Flexible Supports
TL;DR: It is demonstrated that the proposed model with the flexible supports boundary conditions has significant effect on the rigorous quantitative dynamical analysis of the MEMS beams, and the proposed analytical solutions are in good agreement with those obtained from finite element analyses.
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TL;DR: In this paper, the transverse vibrations of an axially moving flexible beam resting on multiple supports are investigated, where the time-dependent velocity is assumed to vary harmonically about a constant mean velocity.
References
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Book
Introduction to perturbation techniques
TL;DR: In this paper, the authors introduce the notion of forced Oscillations of the Duffing Equation and the Mathieu Equation for weakly nonlinear systems with quadratic and cubic nonlinearities.
Journal ArticleDOI
Non-linear vibrations of a beam-mass system under different boundary conditions
TL;DR: In this paper, an Euler-Bernoulli beam and a concentrated mass on this beam are considered as a beam-mass system, and the beam is supported by immovable end conditions, thus leading to stretching during the vibrations.
Journal ArticleDOI
Nonlinear vibrations of a beam-spring-mass system
Mehmet Pakdemirli,Ali H. Nayfeh +1 more
TL;DR: In this paper, the nonlinear response of a simply supported beam with an attached spring-mass system to a primary resonance is investigated, taking into account the effects of beam midplane stretching and damping.
Journal ArticleDOI
Effect of non-ideal boundary conditions on the vibrations of continuous systems
Mehmet Pakdemirli,H. Boyaci +1 more
Journal ArticleDOI
Non-linear vibrations of a simple–simple beam with a non-ideal support in between
Mehmet Pakdemirli,H. Boyaci +1 more
TL;DR: In this paper, a simply supported Euler-Bernoulli beam with an intermediate support is considered and non-linear terms due to immovable end conditions leading to stretching of the beam are included in the equations of motion.
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