Vibration modeling and position-dependent analysis of spatial trajectory roller coaster

Zheng, Lu; Liu, Zhe; Chen, M. L.; Zhu, Yutian

doi:10.1007/s00419-016-1206-9

Cited by 7 publications

(6 citation statements)

References 18 publications

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“…. , 1200 rpm), (9) where n is the rotation speed of the engine, i is the number of cylinders, and τ is the number of strokes of the engine. When the whole vehicle is driving at idle speed n, the engine excitation frequency range corresponding to each sample speed can be expressed as follows:…”

Section: Ignition Excitation Analysis Of Engine Node Systemmentioning

confidence: 99%

“…Among the vibration excitation forms, the excitation disturbance of ignition frequency is the main form, so it is necessary to study the vibration isolation ability of the excitation disturbance of ignition frequency. According to the determined abnormal idle speed, a corresponding ignition frequency range can be further calculated according to equation (9), and its range varies from 23.3 Hz to 25 Hz. In contrast, for any other node system structure (suppose the number of components contained in this system of nodes is 4), the natural frequency (w i ) is mainly determined by the stiffness and mass and is not affected by external vibration.…”

Section: Ignition Excitation Analysis Of Engine Node Systemmentioning

confidence: 99%

“…Consequently, it can be ignored in the analysis and used as a scattered composite rigid body for resonance suppression analysis [1]. In the last two decades, researchers have performed many studies on the approaches for the resonance suppression of structure, not only simple design models [2][3][4][5][6][7][8][9] to adjust vibration control parameters, but also dynamic vibrational behaviour of the structure [10,11]. In addition, other methods have been studied to regulate vibration responses.…”

Section: Introductionmentioning

confidence: 99%

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Research on a Multinode Joint Vibration Control Strategy for Controlling the Steering Wheel of a Commercial Vehicle

Tang

Ye³

et al. 2020

Shock and Vibration

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The vibration degree of a steering wheel has important reference significance for drivers to evaluate the ride comfort of the whole vehicle. To solve the jitter problem of the steering wheel of a commercial vehicle at idle speed, this work proposes a multinode joint vibration control strategy (MDVC) based on the associated vibration path of the steering wheel. Based on the analysis of the associated vibration transfer paths of the steering wheel, the whole vehicle was divided into a system comprising several nodes. For the decomposed node system, taking the vibration transmission path associated with the target as the research direction, the vibration reduction design of each node system is analyzed step by step. After exploring the possible causes of abnormal vibration of the steering wheel through experimental tests, the abnormal node structure interval was determined. By further extracting the structural model of the steering system from the vehicle, the hammering method was applied to test its modal and related frequency. Furthermore, an improved structure of steering support was also designed, and its fitting degree and modal characteristics were analyzed and compared to the original scheme. The following test results show that the structure improvement greatly reduces the vibration level of the steering wheel, meets the ideal design requirements of the steering wheel vibration reduction, and provides the possibility of weighing the correlation between these hierarchical node systems in whole vehicle.

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Section: Ignition Excitation Analysis Of Engine Node Systemmentioning

confidence: 99%

Section: Ignition Excitation Analysis Of Engine Node Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Research on a Multinode Joint Vibration Control Strategy for Controlling the Steering Wheel of a Commercial Vehicle

Tang

Ye³

et al. 2020

Shock and Vibration

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“…The input variables of the model include the current I , the vertical position z , the eccentric state variables α, θ , and d . The transfer relationship between the above input position variables and the outputs of the dynamic model in the coordinate XYZ, which are the displacement ( dx , dy , dz ) and Euler angle 28,29 ( φ , ψ , γ ) of the moving coil, can be written as:…”

Section: Electromechanical Coupling Dynamics Modeling Of Electrodynamic Shaker Considering Lateral and Vertical Vibrationmentioning

confidence: 99%

Electromechanical coupling dynamic modeling and analysis of vertical electrodynamic shaker considering low frequency lateral vibration

Zuo

Feng

Pan

et al. 2014

Advances in Mechanical Engineering

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For the problem of relatively severe lateral vibration found in the vertical electrodynamic shaker experiment, an electromechanical coupling dynamic model of the electrodynamic shaker considering low-frequency lateral vibration is proposed. The reason and mechanism of the lateral vibration is explained and analyzed through this model. To establish this model, an electromagnetic force model of overall conditions is firstly built by fitting force samples with neural network method. The force samples are obtained by orthogonal test of finite element simulation, in which five factors of the moving coil including current, vertical position, flipping eccentricity angle, radial translational eccentric direction and distance are considered. Secondly, a 7-dof dynamic model of the electrodynamic shaker is developed with the consideration of the lateral vibration of the moving system. To obtain the transfer function accurately, the stiffness and damping parameters are identified. Finally, an electromechanical dynamic model is established by coupling the force model and the 7-dof dynamic model, and it is verified by experiments. The coupling model proposed can be further used for the control and optimization of the electrodynamic shaker.

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“…On the one hand, this method can be implemented efficiently enough to allow for a fast iterative process, but on the other hand it does not capture the vibrational response of the real system. One possible simple extension consists in regarding the bodies as lumped masses with elastic connections, such as the quarter-carbody model proposed in [2] or the two-wheel car in [3]. In [1], the bodies are considered to be rigid, but a more detailed wheel-rail contact response based on the nonlinear Flores et al contact model [4] is proposed, also taking into account real rail irregularities.…”

Section: Introductionmentioning

confidence: 99%

A first analysis of possible elementary causes of self‐excited vibrations in roller coaster rides

Agustí

Kecskeméthy

2023

Proc Appl Math and Mech

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The emergence of vibrations during a roller coaster ride is a recurring phenomenon that can deteriorate the overall experience and accelerate material fatigue. Nevertheless, the causes of such vibrations are still not completely understood and are consequently not fully predictable during the design process. One possible source lies on the irregularities of the rails, acting as a forced external excitation. However, a spectral analysis shows deviations with respect to real measurements [1], as the frequencies are not synchronous with the car velocity divided by the spatial irregularity period. Therefore, there is an indication that the vibrations may be due to self‐excitation and/or that the developed models should consider other phenomena not yet contemplated. This investigation analyses –for the first time to the knowledge of the authors– the plausibility of various causes of self‐excited vibrations during a roller coaster car motion. Given the complex structure of a real roller coaster train and the intricate geometry of the track, the study considers as a first step minimal dynamical models running along a straight track. The cause analyzed in this paper is the contribution of the transversal friction force component that develops in the wheel‐rail contact interface to the destabilization of the longitudinal motion, as well as the effect of the various geometrical and inertial parameters. In this first analysis, no external excitation is considered. For a range of parameters, the minimal system presents a Hopf bifurcation. The results are plausible from the general behavior and thus this cause may be retained as a candidate for the real vibrations occurring in roller coasters. However, the applicability of these preliminary results to general roller coaster motions is not yet confirmed, but a superposition with other causalities may render effective. In further investigations, a complete train motion on curved tracks and external perturbations will be studied to determine the share of the different causes.

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Vibration modeling and position-dependent analysis of spatial trajectory roller coaster

Cited by 7 publications

References 18 publications

Research on a Multinode Joint Vibration Control Strategy for Controlling the Steering Wheel of a Commercial Vehicle

Research on a Multinode Joint Vibration Control Strategy for Controlling the Steering Wheel of a Commercial Vehicle

Electromechanical coupling dynamic modeling and analysis of vertical electrodynamic shaker considering low frequency lateral vibration

A first analysis of possible elementary causes of self‐excited vibrations in roller coaster rides

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