Design of optimum system of viscoelastic vibration absorbers with a Frobenius norm objective function

Espíndola, José João de; Pereira, Petroneo; Bavastri, Carlos Alberto; Lopes, Eduardo Márcio de Oliveira

doi:10.1590/s1678-58782009000300006

Cited by 8 publications

(6 citation statements)

References 16 publications

(13 reference statements)

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“…Then, with m a equalto 0.15 m 1 (Den Hartog's theory), the geometric factor of the VDVA, #, is calculated from equation (12). Finally, to achieve the physical realization of the VDVA, the procedure described in Espı´ndola et al (2009 should be followed.…”

Section: Optimization Strategymentioning

confidence: 99%

Influence of temperature on optimum viscoelastic absorbers in cubic nonlinear systems

Febbo¹,

Lopes

Bavastri

2014

Journal of Vibration and Control

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Recently, viscoelastic materials have been widely used for vibration control due to their efficacy and flexibility in real engineering problems. Their use as constitutive parts of dynamic vibration absorbers requires the investigation of these materials under different operating situations. In the optimal design of the absorbers, it is essential to know how the dynamical properties of the viscoelastic materials change with temperature. In a previous work, the authors presented a methodology to optimally design a linear viscoelastic dynamic vibration absorber to be attached to a cubic nonlinear single-degree-of-freedom system, in a given temperature. In the present work, a study of how temperature variations affect the optimal design of two viscoelastic absorbers, made of distinct materials (neoprene and butyl rubber), is addressed. The mathematical formulation of the problem is based on the concept of generalized equivalent parameters and the harmonic balance method is employed in the solution stage. A cubic nonlinearity in the primary system is considered and the four parameter fractional derivative model of viscoelastic materials is used. Numerical simulations are performed using a recursive equation, in order to find the new characteristics of the absorbers at different working temperatures. The results show that the answer depends not only on the temperature and the material, but also on the magnitude of the excitation load imposed to the system. For a low magnitude of the excitation load, it is verified that the neoprene absorber is less affected by a temperature variation, in terms of its vibration control capabilities. On the other hand, a large magnitude of the load can significantly affect the performance of both considered devices when the working temperature is different from the design temperature.

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Section: Optimization Strategymentioning

confidence: 99%

Influence of temperature on optimum viscoelastic absorbers in cubic nonlinear systems

Febbo¹,

Lopes

Bavastri

2014

Journal of Vibration and Control

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“…The state-of-the-art highlights the use of the fractional derivative model combined to a multidegree of freedom (MDOF) concept, all combined to methods such as the generalized equivalent parameters (GEP), in order to achieve a robust and accurate model and a low computational cost [13]. However, despite the incipient use of viscoelastic dynamic neutralizers (VDN) in rotordynamics [15,16], there is a well-established literature dealing with VDN applied to non-rotating structures [17][18][19][20][21][22][23][24][25]. The main reason to study VDN applied to rotordynamics is that such devices are auxiliary to the primary system, differently from the VES systems that work as supports for the primary system thus replacing or being combined to bearings.…”

Section: Introductionmentioning

confidence: 99%

“…Among the pioneering works on the research of VDN for non-rotating structures, one can mention [17], which focused on the design of absorbers for simple types of primary systems-one and two degrees of freedom. Other researches have improved the models of VDN, such as [18][19][20][21][22][23][24][25]. Among those articles, [21] is known as the first to propose the use of a methodology combining the fractional derivative model and the GEP for the optimal design of VDN.…”

Section: Introductionmentioning

confidence: 99%

Optimal design of multi-DOF viscoelastic dynamic neutralizers for passive vibration control in rotordynamics

Ribeiro

Bavastri

2020

J Braz. Soc. Mech. Sci. Eng.

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“…A particular type of nDVA is the so called viscoelastic neutralizer as studied in [3]. Different techniques have been proposed to design viscoelastic vibration absorbers, as shown in [4] and [5]. Despite the known complexity in modeling the nonlinear dynamics involved in this type of absorber, some general methodologies have proved to be appropriate to treat this type of problem.…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Optimization Line-Up Algorithm Applied to the Design of a Nonlinear Vibration Absorber

Borges¹,

Lobato²,

Steffen³

2014

Proceedings of 10th World Congress on Computational Mechanics

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Design of optimum system of viscoelastic vibration absorbers with a Frobenius norm objective function

Cited by 8 publications

References 16 publications

Influence of temperature on optimum viscoelastic absorbers in cubic nonlinear systems

Influence of temperature on optimum viscoelastic absorbers in cubic nonlinear systems

Optimal design of multi-DOF viscoelastic dynamic neutralizers for passive vibration control in rotordynamics

Multi-Objective Optimization Line-Up Algorithm Applied to the Design of a Nonlinear Vibration Absorber

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