Bond graph modelling of hard nonlinearities in mechanics: A hybrid approach

Richard, Pierre-Yves; Morarescu, Mihai; Buisson, Jean

doi:10.1016/j.nahs.2008.03.002

Cited by 11 publications

(7 citation statements)

References 13 publications

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“…A common case study for discontinuities in Bond Graphs, previously investigated by Richard et al [8] (among others) is dry friction. In the bond graph framework, this has historically been modelled using switched sources.…”

Section: Mechanical Frictionmentioning

confidence: 99%

Mode switching in causally dynamic hybrid bond graphs

Margetts

Ngwompo

2015

Mechatronics

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The causally dynamic hybrid bond graph is extended to the case of mode-switching behaviour. Mode-switching ‘trees’ of switches and elements are historically used by bond graph practitioners to represent elements with piecewise-continuous functions. This case is defined as ‘parametric switching’ for the purposes of the hybrid bond graph, since the switching is internal to the element, as opposed to ‘structural switching’ which alters the model structure. This mode-switching ‘tree’ is concatenated into a new controlled element which features Boolean switching parameters in the constitutive equation, removing unnecessary complexity from the model. Mixed-Boolean state equations can be derived from the model, which are nonlinear and/or time-varying (and hence not in the familiar Linear Time Invariant Form). It can be seen that controlled elements often have a static causality assignment and leave the model structure unchanged. The result is a concise method for representing nonlinear behaviour as a piecewise-continuous function in the bond graph modelling framework

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Section: Mechanical Frictionmentioning

confidence: 99%

Mode switching in causally dynamic hybrid bond graphs

Margetts

Ngwompo

2015

Mechatronics

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“…A hybrid model is thus accomplished in the sense that there are continuous changes within a mode and discrete changes among modes. Since the classical bond graph is not supported for discrete changes, the switched bond graph and the corresponding solver-independent mathematical structure are used for modelling (Richard et al, 2008;Nacusse and Junco, 2015).…”

Section: Introductionmentioning

confidence: 99%

Simulation of hydraulic check valve for forestry equipment

Nedić

Pršić

Fragassa

et al. 2017

IJHVS

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Modelling and simulating complex systems, such as forestry equipment, are often the only way for their full analysis and design. This problem may lead to a stiff set of equations that are followed by numerical problems. In this paper two alternative approaches are investigated. The first one refers to the use of a variable step of integration by continuous models adjusted to the fastest processes. The second one refers to the approximation of fast transitions by ideal instantaneous mode-transitions and hybrid models. These two approaches are analysed in the framework of bond graph. The classical bond graph is adopted for description of the continuous models, and the switched bond graph is preferred for description of the hybrid models. The model of check valve is used as a working example for illustration of results. Matlab/Simulink tools are used for modelling and simulation.N. Nedić et al.

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“…Consequently, the main contribution of this work is to build the model of the proposed dispenser based on bond-graph technique, which is quite suitable for modeling multisystem because of its graphical visibility and strict mathematical relations [11][12][13][14][15]. During the modeling, the flow channels have been divided into several lumps according to a lumped parameter method [16,17] in order to study the flow behavior with a higher accuracy requirement.…”

Section: Introductionmentioning

confidence: 99%

Bond-graph model of a piezostack driven jetting dispenser

Liu

Yao

et al. 2014

Simulation Modelling Practice and Theory

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a b s t r a c tMicro liquid jetting technology is widely used in the field of electronic packaging. This paper presents a bond-graph model of a piezostack driven jetting dispenser that can dispense adhesive fluids accurately, rapidly, and flexibly. After describing the structural components and operating principles of the dispenser, the bond-graph model for the system is derived by integrating the electromechanical model with the fluid model. In the bond-graph model, the lumped parameter method is employed to obtain the conceptual bond-graph elements of the adhesive in the channels. Based on the proposed model, the jetting dispenser is designed and manufactured, and its performance is then evaluated through both computer simulations and experiments. Further simulation studies about the working properties based on the bond-graph model is carried out.

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Bond graph modelling of hard nonlinearities in mechanics: A hybrid approach

Cited by 11 publications

References 13 publications

Mode switching in causally dynamic hybrid bond graphs

Mode switching in causally dynamic hybrid bond graphs

Simulation of hydraulic check valve for forestry equipment

Bond-graph model of a piezostack driven jetting dispenser

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