An overview on the appearance of the Sommerfeld effect and saturation phenomenon in non-ideal vibrating systems (NIS) in macro and MEMS scales

Balthazar, José Manoel; Tusset, Ângelo Marcelo; Brasil, Reyolando Manoel Lopes Rebello da Fonseca; Félix, Jorge Luis Palacios; Rocha, Rodrigo Tumolin; Janzen, Frederic Conrad; Nabarrete, Airton; Oliveira, Clivaldo

doi:10.1007/s11071-018-4126-0

Cited by 54 publications

(13 citation statements)

References 78 publications

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“…A simplified spring-mass-damper oscillator model with a non-ideal excitation source was defined by Gonçalves et al (2014Gonçalves et al ( , 2015, Balthazar et al (2018), in which a cart moves horizontally without friction, with a non-ideal DC motor fixed to it. The motor has an unbalanced mass that provides excitation to the system.…”

Section: Application To a Non-ideal System Exhibiting The Sommerfeld mentioning

confidence: 99%

Multi-core and many-core SPMD parallel algorithms for construction of basins of attraction

Silveira

Gonçalves

Balthazar

2019

Journal of Theoretical and Applied Mechanics

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Construction of basins of attraction, used for the analysis of nonlinear dynamical systems which present multistability, are computationaly very expensive. Because of the long runtime needed, in many cases, the construction of basins does not have any practical use. Numerical time integration is currently the bottleneck of algorithms used for the construction of such basins. The integrations related to each set of initial conditions are independent of each other. The assignment of each integration to a separate thread seems very attractive, and parallel algorithms which use this approach to construct the basins are presented here. Two versions are considered, one for multi-core and another for many-core architectures, both based on a SPMD approach. The algorithm is tested on three systems, the classic nonlinear Duffing system, a non-ideal system exhibiting the Sommerfeld effect and an immunodynamic system. The results for all examples demonstrate the versatility of the proposed parallel algorithm, showing that the multi-core parallel algorithm using MPI has nearly an ideal speedup and efficiency.

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Section: Application To a Non-ideal System Exhibiting The Sommerfeld mentioning

confidence: 99%

Multi-core and many-core SPMD parallel algorithms for construction of basins of attraction

Silveira

Gonçalves

Balthazar

2019

Journal of Theoretical and Applied Mechanics

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“…The tendency of modern structural engineering is towards more slender members, due to the use of more efficient and lightweight materials and increasingly powerful structural analysis tools. In this context, it could be noted that new phenomena and emergent areas were addressed in a recent study by Balthazar et al (2018), concerning structures supporting unbalanced machines capable of only limited power output. The motion of an oscillating structure excited by such energy sources is accompanied by full interaction between these non-ideal motors and their supports.…”

Section: Introductionmentioning

confidence: 99%

Resonance of a rotary machine support beam considering geometric stiffness

Wahrhaftig¹,

Brasil²,

Groba³

et al. 2020

Journal of Theoretical and Applied Mechanics

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The effects of axial compressive forces on free vibration frequencies of rotating machine support beams are investigated taking into account their geometric stiffness. One class of structures that has economic and strategic importance is the base of machines, which is excited by vibrations induced by the supported equipment. These vibrations can affect the structures or, more generally, may generate damage to the supported equipment and the quality of production. They may also render human working conditions difficult. In the current work, these effects are studied via mathematical modeling, numerical simulation and experimental evaluation.

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“…Publications of the non-ideal systems are numerous, and hence, we refer here only to some of them. Overviews on numerous studies of the non-ideal systems dynamics can be found in [4,[6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Resonance behavior of the system with a limited power supply having the Mises girder as absorber

2019

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Three-DOF system with a limited power supply (or non-ideal system) having the Mises girder as absorber is considered. Stationary resonance regimes of vibrations near stable equilibrium positions of the system are constructed in two approximations of the multiple scales method. Namely, vibrations near the resonance 1:1 between the motor rotation frequency and the linear sub-system frequency and vibrations near the resonance 1:1 between the motor and absorber frequencies are analyzed. This analysis near the first resonance is made as in supposition that elastic springs of the Mises girder are weak and have an order of the small parameter, as well as in supposition that these springs are not weak. It is obtained that the effective absorption of the elastic vibrations can be obtained in the second case. Additional numerical simulation permits to find regimes of absorption when it is possible to guarantee also the fast outcome from the first resonance region. The most appropriate for absorption and such outcome

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An overview on the appearance of the Sommerfeld effect and saturation phenomenon in non-ideal vibrating systems (NIS) in macro and MEMS scales

Cited by 54 publications

References 78 publications

Multi-core and many-core SPMD parallel algorithms for construction of basins of attraction

Multi-core and many-core SPMD parallel algorithms for construction of basins of attraction

Resonance of a rotary machine support beam considering geometric stiffness

Resonance behavior of the system with a limited power supply having the Mises girder as absorber

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