Coupled nonlinear behavior of beam with a moving mass

Mohanty, A.K.; Varghese, Moses Prasad; Behera, Rabindra Kumar

doi:10.1016/j.apacoust.2019.07.024

Cited by 8 publications

(3 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here a DOI:10.29132/ijpas.1172085 summary of the review of the literature is given considering recent years. Mohanty et al (2019) proposed a nonlinear model to consider the coupling of beam and mass interaction for different boundary conditions. Ebrahimi-Mamaghani et al (2020) investigated the forced and free vibration of axially graded Rayleigh and Bernoulli-Euler beams under moving load.…”

Section: Introductionmentioning

confidence: 99%

Trapez Hız Profilinin Ayarlanması Yoluyla Hareketli Bir Kütle Altındaki Kirişin Titreşim Kontrolü

KARAGÜLLE

Akdağ

2023

International Journal of Pure and Applied Sciences

View full text Add to dashboard Cite

In this article, the residual vibration of a simply supported beam with a moving mass is studied. The mass moves from a starting point to an end point on the beam with a trapezoidal velocity profile having accelerating, constant velocity and decelerating time intervals. The residual vibration of the mid-point of the beam after the mass stops is analyzed. The mathematical model of the system is developed using the finite element (FE) theory. Newmark method is used for the solution of FE model having time dependent matrices because of the moving mass. The model is verified by comparing the solution results with the results given in the previous studies in the literature. It is seen that the relationship between the natural frequency of the system and the velocity profile of the moving mass has an effect on the residual vibration of the structure. If the natural frequency of the system and the inverse of the deceleration time interval of the moving mass are equal while the moving mass is at the stopping position, residual vibrations occur at a minimum level. It seen that with the right speed profile selection, the decrease in vibration levels approaches 70% during the movement and 80% after stopping.

show abstract

Section: Introductionmentioning

confidence: 99%

Trapez Hız Profilinin Ayarlanması Yoluyla Hareketli Bir Kütle Altındaki Kirişin Titreşim Kontrolü

KARAGÜLLE

Akdağ

2023

International Journal of Pure and Applied Sciences

View full text Add to dashboard Cite

show abstract

“…There are a lot of studies on linear vibration of structures under moving loads and oscillators 1–3 and several studies are about nonlinear vibration of structures due to moving loads, masses or oscillators. 4 Non-linear response of a beam with variable cross-section under a moving vehicle was analyzed by Yoshimura et al. 5 using finite element approach.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of nonlinear functionally graded piezoelectric energy harvester subjected to multi moving oscillators

Fatehi

Mahzoon

Farid

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

In this paper, energy harvesting from nonlinear vibration of a functionally graded beam covered by a piezoelectric patch under multi-moving oscillators is studied. The material of both the substructure and the piezoelectric patch is assumed to be functionally graded in the thickness direction. A coupled system of equations considering Euler-Bernoulli beam theory and von-Karman nonlinearity as well as electromechanical coupling are derived using the generalized Hamilton’s principle. Finite element method as well as Newmark time integration scheme are used to solve the coupled nonlinear time dependent problem. The effects of different parameters including material distribution, velocity of the moving oscillators, piezoelectric patch thickness and load resistance on the output voltage and harvested power are investigated. Moreover, the effects of oscillator characteristics such as damping ratio and stiffness on the nonlinear behavior of the beam and harvested power are also studied. Results indicate that the aforementioned parameters have considerable effects on the harvested power. It is also shown that ignoring nonlinear effects may lead to erroneous and unacceptable results. To the best of authors’ knowledge, there is no study about energy harvesting from nonlinear vibration of beams under moving oscillators.

show abstract

“…Loads applied to these structures have different natures such as randomly/ harmonically varying magnitude. There are also mechanisms where the applied load changes its position; for instance, Mohanti et al [3] employed a single-mode approximation in the framework of the method of multiple scales in the presence of a moving mass and obtained the corresponding time histories. One famous application is in bridges, where the moving cars and passengers could be considered as moving loads and depending on the value and sequence of them the dynamics could be analysed.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear coupled moving-load excited dynamics of beam-mass structures

Ghayesh

Farokhi

Zhang

et al. 2020

Archiv.Civ.Mech.Eng

View full text Add to dashboard Cite

Investigated in this paper is the first on the moving-load-caused nonlinear coupled dynamics of beam-mass systems. A constant value load excites the beam-mass system where its position on the beam-mass system changes periodically. The energy contribution of the moving load is included via a virtual work formulation. The kinetic energy of the mass together with the beam as well as energy stored in the beam after deflection is formulated. Hamilton's principle gives nonlinear equations of the beam-mass system under a moving load in a coupled transverse/longitudinal form. A weighted-residual-based discretisation gives a 20 degree of freedom which is numerically integrated via continuation/time integration along with Floquet theory techniques. The resonance dynamics in time, frequency, and spatial domains is investigated. As we shall see, torus bifurcations are present for some beam-mass structure parameters as well as travelling waves. A finite element analysis is performed for a simpler linear version of the problem for to-some-extend verifications.

show abstract

Coupled nonlinear behavior of beam with a moving mass

Cited by 8 publications

References 35 publications

Trapez Hız Profilinin Ayarlanması Yoluyla Hareketli Bir Kütle Altındaki Kirişin Titreşim Kontrolü

Trapez Hız Profilinin Ayarlanması Yoluyla Hareketli Bir Kütle Altındaki Kirişin Titreşim Kontrolü

Numerical analysis of nonlinear functionally graded piezoelectric energy harvester subjected to multi moving oscillators

Nonlinear coupled moving-load excited dynamics of beam-mass structures

Contact Info

Product

Resources

About