Consideration of the masses of helical springs in forced vibrations of damped combined systems

Gürgöze, M.; Zeren, S.

doi:10.1016/j.mechrescom.2011.03.001

Cited by 4 publications

(4 citation statements)

References 6 publications

(11 reference statements)

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“…a massless spring is considered in the model [1][2][3][4][5][6][7][8][9][10][11][12][13]. Yet, several studies have been devoted to include spring inertia in the analytical/numerical model of the system and investigate its effects on the performance of the TMD [14][15][16][17][18][19][20][21][22][23].…”

Section: Several Studies Have Sought Analytical or Numerical Solutionmentioning

confidence: 99%

“…In view of a more accurate and general description of spring inertia effects, various studies have been proposed in the last decade. They addressed TMDs as well as mass-spring subsystems [16][17][18][19][20][21][22][23].…”

Section: Several Studies Have Sought Analytical or Numerical Solutionmentioning

confidence: 99%

“…Focusing on a cantilever beam carrying a tip mass and an in-span mass-spring subsystem, Gürgöze et al [18] used the Hamilton's principle to derive the motion equations and obtained the characteristic equation as determinant of a 4×4 matrix via the transfer matrix method. The same system was also studied under forced vibrations, deriving the frequency response functions in exact form by coupling the steady-state equations of beam segments and rod [19]. Then, for a cantilever beam or a simplysupported beam with a mass-spring subsystem only, Gürgöze [20][21] obtained the characteristic equation in analytical form as well as the fundamental frequency via Dunkerley's procedure.…”

Section: Several Studies Have Sought Analytical or Numerical Solutionmentioning

confidence: 99%

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Random vibration mitigation of beams via tuned mass dampers with spring inertia effects

et al. 2019

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The dynamics of beams equipped with tuned mass dampers is of considerable interest in engineering applications. Here, the purpose is to introduce a comprehensive framework to address the stochastic response of the system under stationary and nonstationary loads, considering inertia effects along the spring of every tuned mass damper applied to the beam. For this, the key step is to show that a tuned mass damper with spring inertia effects can be reverted to an equivalent external support, whose reaction force on the beam depends only on the deflection of the attachment point. On this basis, a generalized function approach provides closed analytical expressions for frequency and impulse response functions of the system. The expressions can be used for a straightforward calculation of the stochastic response, for any number of tuned mass dampers. Numerical results show that spring inertia effects may play an important role in applications, affecting considerably the system response.

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Section: Several Studies Have Sought Analytical or Numerical Solutionmentioning

confidence: 99%

Section: Several Studies Have Sought Analytical or Numerical Solutionmentioning

confidence: 99%

Section: Several Studies Have Sought Analytical or Numerical Solutionmentioning

confidence: 99%

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Random vibration mitigation of beams via tuned mass dampers with spring inertia effects

et al. 2019

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“…In this situation it is common to model the structure as a continuous system with discrete elements coupled. The open literature reports studies that use such continuous/discrete models for the analysis of drillstrings [20], carbon nanotubes [3,18], naval structure-motor coupling [22], beams coupled with springs [13,17], a damper [14] and/or a discrete mass [2], etc.…”

Section: Introductionmentioning

confidence: 99%

On the nonlinear stochastic dynamics of a continuous system with discrete attached elements

Cunha

Sampaio

2015

Applied Mathematical Modelling

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This paper presents a theoretical study on the influence of a discrete element in the nonlinear dynamics of a continuous mechanical system subject to randomness in the model parameters. This system is composed by an elastic bar, attached to springs and a lumped mass, with a random elastic modulus and subjected to a Gaussian white-noise distributed external force. One can note that the dynamic behavior of the bar is significantly altered when the lumped mass is varied, becoming, on the right extreme and for large values of the concentrated mass, similar to a mass-spring system. It is also observed that the system response is more influenced by the randomness for small values of the lumped mass. The study conducted also show an irregular distribution of energy through the spectrum of frequencies, asymmetries and multimodal behavior in the probability distributions of the lumped mass velocity.

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Analysis on the kinematical characteristics of compound motion curve-face gear pair

Lin

2018

Mechanism and Machine Theory

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Consideration of the masses of helical springs in forced vibrations of damped combined systems

Cited by 4 publications

References 6 publications

Random vibration mitigation of beams via tuned mass dampers with spring inertia effects

Random vibration mitigation of beams via tuned mass dampers with spring inertia effects

On the nonlinear stochastic dynamics of a continuous system with discrete attached elements

Analysis on the kinematical characteristics of compound motion curve-face gear pair

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