Lumped parameter modelling and methodology for extraction of model parameters for an electrodynamic shaker
20 Feb 2017-Journal of Low Frequency Noise Vibration and Active Control (SAGE PublicationsSage UK: London, England)-Vol. 36, Iss: 2, pp 99-115
TL;DR: In this article, the authors studied the effect of different types of shakers on academic research and product testing, and found that there is a significant necessity to study them in detail.
Abstract: Shakers are widely used to simulate the vibrations for academic research, as well as for product testing. Thus, there is a significant necessity to study them in detail. Amongst the different types...
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TL;DR: A blocking structure approach is presented as an alternative for shaker parameters determination and implemented in the virtual shaker testing model, simulations are performed and the model is validated by experiments.
Abstract: Virtual shaker testing is a novel and valuable tool to predict a vibration test response as the coupling effect. This consists of simulating a physical shaker test by modeling the constitutive elements of a vibration test loop. This article presents the implementation and validation of a virtual shaker testing for a high-damped shaker. The shaker is modeled by mechanical lumped elements as a state-space system. In the case of a high damped electrodynamic shaker, the classical experimental modal estimation does not allow a proper identification of the system. This article presents a blocking structure approach as an alternative for shaker parameters determination. The obtained results are implemented in the virtual shaker testing model, simulations are performed and the model is validated by experiments.
11 citations
TL;DR: In this paper, the use of the dynamic stiffness method, which is commonly used in the analysis of linear systems, is used to interpret the data from a vibration test of a controllable compressed beam structure coupled to a test shaker.
Abstract: The interpretation of experimental data from nonlinear structures is challenging, primarily because of dependency on types and levels of excitation, and coupling issues with test equipment. In this paper, the use of the dynamic stiffness method, which is commonly used in the analysis of linear systems, is used to interpret the data from a vibration test of a controllable compressed beam structure coupled to a test shaker. For a single mode of the system, this method facilitates the separation of mass, stiffness and damping effects, including nonlinear stiffness effects. It also allows the separation of the dynamics of the shaker from the structure under test. The approach needs to be used with care, and is only suitable if the nonlinear system has a response that is predominantly at the excitation frequency. For the structure under test, the raw experimental data revealed little about the underlying causes of the dynamic behaviour. However, the dynamic stiffness approach allowed the effects due to the nonlinear stiffness to be easily determined.
6 citations
Posted Content•
01 Sep 2020TL;DR: In this work, the electrical analogues of different vehicle models are presented and a new and not previously reported analogy between inertial coupling and electrostatic capacitive coupling is found and described.
Abstract: Analogies between mechanical and electrical systems have been developed and applied for almost a century, and they have proved their usefulness in the study of mechanical and electrical systems. The development of new elements such as the inerter or the memristor is a clear example. However, new applications and possibilities of using these analogues still remain to be explored. In this work, the electrical analogues of different vehicle models are presented. A new and not previously reported analogy between inertial coupling and electrostatic capacitive coupling is found and described. Several examples are provided to highlight the benefits of this analogy. Well-known mechanical systems like the half-car or three three-axle vehicle models are discussed and some numerical results are presented. To the best of the author's knowledge, such systems were never dealt with by using a full electromechanical analogy. The mechanical equations are also derived and compared with those of the electrical domain for harmonic steady state analysis.
6 citations
Cites background from "Lumped parameter modelling and meth..."
...in design and optimization of inductive power transfer systems [34], and in piezoelectric vibration energy harvesters [35], among others mechanical or electromechanical systems with interest in vibrations [14, 15, 36, 37, 38]....
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...In this way and unique electrical system is studied [14, 15]....
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TL;DR: In this paper, the electrical analogues of different vehicle models are presented and a new and not previously reported analogy between inertial coupling and electrostatic capacitive coupling is found and described.
Abstract: Analogies between mechanical and electrical systems have been developed and applied for almost a century, and they have proved their usefulness in the study of mechanical and electrical systems. The development of new elements such as the inerter or the memristor is a clear example. However, new applications and possibilities of using these analogues remain to be explored. In this work, the electrical analogues of different vehicle models are presented. A new and not previously reported analogy between inertial coupling and electrostatic capacitive coupling is found and described. Several examples are provided to highlight the benefits of this analogy. Well-known mechanical systems like the half-car or three three-axle vehicle models are discussed and some numerical results are presented. To the best of the author’s knowledge, such systems were never dealt with by using a full electromechanical analogy. The mechanical equations are also derived and compared with those of the electrical domain for harmonic steady-state analysis.
4 citations
TL;DR: In this paper, an innovative model of the electrodynamic exciter is developed based on a transmission line approach and a two-port network over Z-modeling is presented.
Abstract: This article discusses the modeling and simulation of the coupling problem in virtual shaker testing applications. An innovative model of the electrodynamic exciter is developed based on a transmission line approach and a two-port network over Z-modeling is presented. The exciter is modeled by a two degrees of freedom mechanical structure coupled to an electrodynamic transducer. While classical lumped modeling depends on the structure under test, this enhanced model is totally independent and only relies on the physical parameters of the shaker which can be identified by non-linear curve fitting. The presented model is also shown to be partially decoupled, allowing an improved identification of the system. The validity and limitations are verified by comparison with experimental results and the developed model efficiently predicts the output reaction of the shaker as well as the prevailing coupling in the interface.
3 citations
References
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TL;DR: In this paper, the authors discuss the relationship between electroacoustics and electroacoustic systems. But they do not discuss the effect of noise levels on the performance of these systems.
Abstract: Acoustics and electroacoustics , Acoustics and electroacoustics , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزی
123 citations
"Lumped parameter modelling and meth..." refers background in this paper
...On solving equation (2) Mms 1⁄4 !(2)s2m !(2)s1 !(2)s2 and Cms 1⁄4 1 !(2)s1Mms ð3Þ...
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...112 Journal of Low Frequency Noise, Vibration and Active Control 36(2)...
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...Further, at electromechanical resonance, the real component of Zmech is ReðZmechj!em Þ 1⁄4 Rmsð!emCmsÞ(2)ðBl Þ(2) Rms 1 !(2)emMmsCms 2þð!2emCmsÞ(2) ð9Þ 104 Journal of Low Frequency Noise, Vibration and Active Control 36(2)...
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...164 110 Journal of Low Frequency Noise, Vibration and Active Control 36(2)...
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...102 Journal of Low Frequency Noise, Vibration and Active Control 36(2)...
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Journal Article•
TL;DR: The performance envelope of an electrodynamic shaker system is strongly influenced by three modes of vibration and the voltage/current capacities of the power amplifier that drives it as discussed by the authors, and other limiting factors are the designed stroke (displacement) of the table, the moving mass and the total mass of the shaker, the thermal power limit (i 2 R), and the stress safety factor of the armature.
Abstract: The performance envelope of an electrodynamic shaker system is strongly influenced by three modes of vibration and the voltage/current capacities of the power amplifier that drives it. Other limiting factors are the designed stroke (displacement) of the table, the moving mass and the total mass of the shaker, the thermal power limit (i 2 R) of the coil and the stress safety factor of the armature. This article will discuss a basic electromechanical shaker model, how to determine Maximum Drive performance for sinusoidal testing, the merits of pneumatic load-leveling suspensions and the often overlooked side effects of shaker isolation. It will also examine system performance from a power perspective and present a simple means of estimating maximum system performance.
100 citations
"Lumped parameter modelling and meth..." refers background in this paper
...Thus Bl ¼Mms A0 I0 ð14Þ Equation (14) may be used to calculate the value of Bl for an electrodynamic shaker....
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...2rMtCc 1 " # , where X ¼ Re Zj!r RE ðBlÞ2 ð22Þ Equation (22) may be used to calculate the mechanical responsiveness Rc....
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...2s1Mms ð3Þ Also, at suspension resonant frequency, the value of impedance across terminals of armature coil is Z ¼ RE þ RmsðBl Þ2 ð4Þ Equation (4) may be used to determine the value of suspension responsiveness, Rms, if parameters Z, RE, and Bl are known....
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...Also, at suspension resonant frequency, the value of impedance across terminals of armature coil is Z 1⁄4 RE þ RmsðBl Þ(2) ð4Þ Equation (4) may be used to determine the value of suspension responsiveness, Rms, if parameters Z, RE, and Bl are known....
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...Further, the values of Bl and RE may be substituted in equation (4) to evaluate Rms....
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TL;DR: In this paper, an active force control (AFC) method is used in active controllers and makes them more accurate, which represents the possibility of applying AFC strategy for an active seat suspension control to increase its robustness.
Abstract: Transmitted vibration from vehicles to driver body generates some problems in the long term. Passive and active seat suspensions are used in heavy duty vehicles to reduce unwanted vibration and prevent health problems due to oscillation. Seat suspension must minimize the driver’s body displacement and acceleration to increase riding convenience. Active force control (AFC) method is a new technique which is used in active controllers and makes them more accurate. Therefore, this work represents the possibility of applying AFC strategy for an active seat suspension control to increase its robustness. An AFC-based scheme is designed and simulated in MATLAB software. In addition, artificial neural network (ANN) is integrated into the AFC loop to approximate estimated mass of the seat and human body for the proposed controller. The training of ANN with multi-layer feedforward structure is carried out using Levenberg-Marquardt learning algorithm. To evaluate the neuro-AFC control system robustness, the seat is ...
42 citations
TL;DR: In this paper, a robust output feedback control design for a half-car active suspension system by considering driver's biodynamics is presented, where an appropriate robust control design approach, μ-synthesis approach, is used to tackle these parametric uncertainties.
Abstract: This paper presents a robust output feedback control design for a half-car active suspension system by considering driver's biodynamics. Because of different kinds of passengers there is a wide range of variations in biodynamics' parameters, and an appropriate robust control design approach, μ-synthesis approach, is used to tackle these parametric uncertainties. The performance of active suspension system with designed controller is compared with the open loop one in both frequency and time domain simulations. The results show that μ-synthesis based controller achieves great performance in ride comfort. In addition, suspension deflections, road holding and actuators force remain in reasonable regions. Finally, analysis of robust performance indicating that the μ-synthesis controller remains stable in a wide range of frequency domain despite parametric uncertainties, which is also validated by a specific case in this paper.
30 citations