Study of flexible couplings non-linear dynamics using bond graphs

Margielewicz, Jerzy; Opasiak, Tadeusz; Gąska, Damian; Litak, Grzegorz

doi:10.1007/s10010-019-00317-w

Cited by 7 publications

(12 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to formula (19), the partial derivations of Δ to P 1 , P 2 , P 3 , and P 4 are all set to be 0. And the equation about the relation between the test data and the identified parameters is deduced.…”

Section: The Stiffness Identification Of Flexiblementioning

confidence: 99%

“…Small error caused by certain assumptions can be neglected. e identified parameters (damping and stiffness) are substituted in equation (19). And the comparison results of test and simulation with identified parameters are shown in Figure 19.…”

Section: Torsional Vibration Test Of Flexible Couplingmentioning

confidence: 99%

“…e flexible coupling is one of the crucial vehicle components for system resonance frequency shift and vibration attenuation. e damping performances of flexible coupling for power train system were widely studied [12,18,19]. e stiffness and damping parameters of flexible coupling were identified by numerical simulation and test [20,21].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Torsional Vibration Attenuation Characteristics and Stiffness Identification of Flexible Coupling in Vehicle Power Train

Luo

Huang

et al. 2020

Shock and Vibration

View full text Add to dashboard Cite

Flexible coupling is one of the crucial components for vibration attenuation used in vehicle power train. Vibration attenuation characteristics and stiffness identification of flexible coupling are profoundly studied aiming at one vehicle power train. Firstly, the dynamics model of each crucial transmission component in power train is constructed. And the torsional vibration model of power train is established according to the concentrated mass method. The effects of coupling stiffness on vibration responses of power train are thoroughly analyzed based on system concentrated mass dynamics model. Secondly, the sensitivities of natural frequency and main forced vibration response parameters are calculated. The coupling stiffness is proved to be a sensitive parameter. Finally, taking the Geislinger coupling as an example, the damping and stiffness characteristics are acquired according to the parameter identification method based on the quantity of test data. The results provide the theory basis for the dynamics optimization of power train.

show abstract

Section: The Stiffness Identification Of Flexiblementioning

confidence: 99%

Section: Torsional Vibration Test Of Flexible Couplingmentioning

confidence: 99%

See 1 more Smart Citation

Torsional Vibration Attenuation Characteristics and Stiffness Identification of Flexible Coupling in Vehicle Power Train

Luo

Huang

et al. 2020

Shock and Vibration

View full text Add to dashboard Cite

show abstract

“…Chaos theory has many tools that can be used to identify zones of chaotic movement. In addition to commonly implemented methods such as: Poincaré cross-section [40,41], the largest Lyapunov exponent [42,43], bifurcation diagrams [44], test 0-1 [45,46], you can use relatively unknown tools such as diagrams of the number of phase stream intersections (NPSI) or a correlation dimension [47]. However, these methods are not capable of determining the number of co-existing solutions and the nature of the solution.…”

Section: Introductionmentioning

confidence: 99%

Multiple Solutions of the Tristable Energy Harvester

et al. 2021

Self Cite

View full text Add to dashboard Cite

This paper presents the results of numerical simulations of a non-linear, tristable system for harvesting energy from vibrating mechanical devices. Detailed model tests were carried out in relation to the system consisting of a beam and three permanent magnets. Based on the derived mathematical model and assuming a range of control parameter variability, a three-dimensional image of the distribution of the largest Lyapunov exponent was plotted. On its basis, the regions of chaotic and predictable movement of the considered system exist have been established. With reference to selected plane of the largest Lyapunov exponent cross-sections, possible co-existing solutions were identified. To identify multiple solutions, a diagram of solutions (DS) diagram was used to illustrate the number of existing solutions and their periodicity. The proposed calculation tool is based on the so-called fixed points of Poincaré cross-section. In relation to selected values of the control parameter w, coexisting periodic solutions were identified for which phase trajectories and basins of attraction were presented. Based on the model tests carried out, it was found that in order to efficiently harvest energy, appropriate transducer adjustment is required. Calibration of the transducer is necessary to obtain the greatest amplitude of vibration of the beam, which corresponds to the phase trajectory limited by external energy potential barriers. As expected, the average voltage induced on the electrodes of the piezoelectric transducer and the average electrical power recorded on the resistive element are directly proportional to the amplitude and average kinetic energy of the beam.

show abstract

“…In flexible couplings, the nonlinearity of the system is mainly due to the mechanical characteristics of the flexible connector. For example, the connectors of tyre couplings are usually made of materials such as neoprene, hytrel and urethane (among others), in which steel spring inserts are moulded, and suitably shaped depending on the design of the coupling [1][2][3]. Mechanical characteristics of the clutch play a key role during model tests, because a small change in the application of the external load can lead to different solutions.…”

Section: Introductionmentioning

confidence: 99%

Multiple solutions and transient chaos in a nonlinear flexible coupling model

Margielewicz

Gąska

Opasiak

et al. 2021

J Braz. Soc. Mech. Sci. Eng.

Self Cite

View full text Add to dashboard Cite

This paper investigates the nonlinear dynamics of a flexible tyre coupling via computer modelling and simulation. The research mainly focused on identifying basins of attraction of coexisting solutions of the formulated phenomenological coupling model. On the basis of the derived mathematical model, and by assuming ranges of variability of the control parameters, the areas in which chaotic clutch movement takes place are determined. To identify multiple solutions, a new diagram of solutions (DS) was used, illustrating the number of coexisting solutions and their periodicity. The DS diagram was drawn based on the fixed points of the Poincaré section. To verify the proposed method of identifying periodic solutions, the graphic image of the DS was compared to the three-dimensional distribution of the largest Lyapunov exponent and the bifurcation diagram. For selected values of the control parameter ω, coexisting periodic solutions were identified, and basins of attraction were plotted. Basins of attraction were determined in relation to examples of coexistence of periodic solutions and transient chaos. Areas of initial conditions that correspond to the phenomenon of unstable chaos are mixed with the conditions of a stable periodic solution, to which the transient chaos is attracted. In the graphic images of the basins of attraction, the areas corresponding to the transient and periodic chaos are blurred.

show abstract

Study of flexible couplings non-linear dynamics using bond graphs

Cited by 7 publications

References 23 publications

Torsional Vibration Attenuation Characteristics and Stiffness Identification of Flexible Coupling in Vehicle Power Train

Torsional Vibration Attenuation Characteristics and Stiffness Identification of Flexible Coupling in Vehicle Power Train

Multiple Solutions of the Tristable Energy Harvester

Multiple solutions and transient chaos in a nonlinear flexible coupling model

Contact Info

Product

Resources

About