Vibration mitigation of a pipe conveying fluid with a passive geometrically nonlinear absorber: a tuning optimal design

Khazaee, Mostafa; Khadem, S.E.; Moslemi, Amin; Abdollahi, Ali

doi:10.1016/j.cnsns.2020.105439

Cited by 37 publications

(10 citation statements)

References 31 publications

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“…Here, the differential evolution algorithm is used to optimize the parameters of the LVA and NES. The procedure of differential evolution algorithm is as follows:(i) Initialization: Referring to the settings of tuning parameters in (Khazaee et al, 2020) and considering three types of NES, the parameter optimization ranges of absorbers are set as 10 −7 ≤ ε ≤ 0.1, 10 −7 ≤ c 2 ≤ 10, 10 −7 ≤ k s ≤ 20, and 10 −7 ≤ l 1 ≤ 2. The initial population [ u 1 ( i , 0), u 2 ( i , 0),…, u D ( i , 0)] denoting the values of ε , c 2 , k s , and l 1 are randomly generated within the thresholds.…”

Section: Objective Functions and Differential Evolution Algorithmmentioning

confidence: 99%

Global vibration control of nonlinear energy sinks

Wang

Ding

2022

Journal of Vibration and Control

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Although a linear vibration absorber (LVA) or nonlinear energy sink (NES) can effectively mitigate the vibration of a primary system in harmonic excitation, the amplitude of the absorber can be very large. Using the differential evolution algorithm, this paper pioneers the global control of the primary system and absorber to achieve decent vibration mitigation and decrease the global response. The results show that the maximum amplitude of the primary system and absorber can be controlled at the same level, and the global control strategy does not change the resonance frequency of the primary system. Compared with the LVA, the NES has similar vibration mitigation effects, mass ratio, and damping values. However, different from the LVA, the NES can achieve optimal mitigation effects in multiple optimal combinations of spring stiffness and geometry parameter and have smaller frequency responses in large excitation. Therefore, this paper proves the superiority of the NES in global vibration control.

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Section: Objective Functions and Differential Evolution Algorithmmentioning

confidence: 99%

Global vibration control of nonlinear energy sinks

Wang

Ding

2022

Journal of Vibration and Control

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“…This kind of absorber with strong nonlinearity is called a nonlinear energy sink (NES). At present, the NES has been used in the mitigation of relaxation oscillation of moving belt systems [6], shock vibration of fluid-conveying pipes [7], transverse vibration of flexible bladed rotor systems [8], and stochastic vibration of two-story shear buildings [9].…”

Section: Introductionmentioning

confidence: 99%

“…In addition, multiple parameters need to be optimized in different NES structures, e.g. the mass ratio and clearance of the vibro-impact NES [20,31,32] and the mass ratio, damping, spring stiffness, geometry parameter, and location of the bistable NES [7,33]. In the multi-objective and multi-parameter optimization of the NES, intelligent optimization algorithms can be used to describe the Pareto front (distribution of non-dominated solutions in the target space).…”

Section: Introductionmentioning

confidence: 99%

“…For example, Raj and Santhosh combined a weighting approach and the genetic algorithm to demonstrate the Pareto front of displacement amplitude and voltage response of a harmonically excited nonlinear oscillator coupled with an NVA and an energy harvester [34]. Khazaee used the non-dominated sorting genetic algorithm to display the Pareto front of the expectation and variance of the energy dissipation rate of the NES with parameter uncertainties [7,35]. In fact, the intelligent optimization algorithm can not only show the characteristics of non-dominated solutions in the target space but show the characteristics of tuning parameters.…”

Section: Introductionmentioning

confidence: 99%

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Optimal Design of Bistable Nonlinear Energy Sink Based on Global Vibration Control

Wang

Ding

Chen

2021

Preprint

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Although a linear vibration absorber (LVA) or nonlinear energy sink (NES) can effectively mitigate the vibration of the main system in harmonic excitation, the amplitude of the absorber can be very large. Using the single-objective differential evolutionary (DE) algorithm, this paper pioneers the global control of the main system and a bistable NES to achieve decent vibration mitigation effects and decrease the global response of the system. Using the multi-objective DE algorithms and comparing the optimization results of the LVA, this paper proposes multi-objective and multi-parameter design criteria of a bistable NES. The mass ratio, the displacement amplitude, and the mechanical energy are optimization goals. The results show that the maximum amplitude of the main system and the absorber can be controlled at the same level, and the global control strategy does not change the resonance frequency of the main system. Compared with the LVA, the bistable NES has similar vibration mitigation effects with the variation of the mass ratio in the multi-objective optimization. However, the bistable NES can achieve better control over a larger spring stiffness range. Therefore, through single- and multi-objective optimization design, this paper proves the superiority of the bistable NES in the vibration mitigation. Meanwhile, this paper provides an optimization design method for global vibration control.

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“…[43][44][45][46][47] Grounded NESs have been the subject of different studies in the past two decades and several investigations regarding different configurations of the main system and/ or the grounded NES, comparison of the grounded and ungrounded NESs for vibration mitigation, energy harvesting, and optimization of the vibration absorbers have been performed in recent years and in view of authors, there are still rooms for more research. For example, 48 is one of the most recent papers in this context where, for pipe conveying fluids, the performance of grounded NES was compared with ungrounded one. As another example, 49 comprehensively studied grounded NESs and investigated the effects of different masses, spring constant, and damping constants on the system performance.…”

Section: Introductionmentioning

confidence: 99%

Effects of bi-stable grounded nonlinear energy sink on energy dissipation of the system

Khalatbari

Jalali

Ahmadi

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this paper, one of the most efficient passive absorbers, called nonlinear energy sink (NES), is analytically studied. A two-degree-of-freedom system is considered which consists of a linear oscillator (LO) with a base excitation and an NES, called grounded NES (GNES), which is connected to the ground with a nonlinear spring. In this study, we proposed a new arrangement of potential elements in GNES and studied invariant manifolds of the system, as well as the energy absorption performance of the NES. The system is considered in the vicinity of 1:1 resonance to investigate the strongly modulated response (SMR). To this end, after obtaining the equations of motion, the Manevitch complex variable and multiple scale method are applied to solve the equations, analytically. Then, the slow invariant manifold (SIM) is obtained. Also, the energy dissipation ratio of the NES and the percentage of the instantaneous total energy stored in the NES are calculated via the time-amplitude diagram. The results show that when the nonlinear effect decreases, the occurrence of energy pumping is less probable. Also, when the excitation amplitude decreases, the percentage of the instantaneous total energy stored in the NES increases as well as the amount of energy dissipation.

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Vibration mitigation of a pipe conveying fluid with a passive geometrically nonlinear absorber: a tuning optimal design

Cited by 37 publications

References 31 publications

Global vibration control of nonlinear energy sinks

Global vibration control of nonlinear energy sinks

Optimal Design of Bistable Nonlinear Energy Sink Based on Global Vibration Control

Effects of bi-stable grounded nonlinear energy sink on energy dissipation of the system

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