Forming Equivalent Subsystem Components to Facilitate the Modelling of Mechatronic Multibody Systems

Schmitke, Chad; McPhee, John

doi:10.1007/s11044-005-4577-1

Cited by 13 publications

(18 citation statements)

References 21 publications

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“…First, the modelling of mechatronic multibody systems in previous linear graph theory is always to describe a whole system or a subsystem such as crank-slider system, quick-return system [11], missile seeker system [18], planar parallel manipulator subsystem component [15] and lacks a symbolic elementary graph to express the basic members. Those different systems have their own topology structure; therefore their modelling graphs are widely divergent.…”

Section: The Characteristics Of the Eelg Methodsmentioning

confidence: 99%

“…McPhee [9] and coworkers achieved a great breakthrough in formulating the linear graph theory, from the 1980s till present: they systematized the theory [10], defined the ''branch coordination'' [11], suggested the subsystem models [12], and extended it to dynamic analysis of three-dimensional multibody systems of rigid bodies and flexible members [13,14]. In 2005, Schmitke and McPhee [15] proposed the concept of ''equivalent subsystem components'' (ESCs), which can formulate and store the equations for a part of a system, so that the complicated multibody or mechatronic systems can be formulated in a piecewise fashion with subsystem models. On the other hand, Han et al [16] and Diaz-Calderon et al [17] of Carnegie Mellon University, first put forward the composable simulation method based on linear graph theory to represent the system topology, and introduced the concept of modularization, encapsulation, interaction, behaviour and model, to deal with electro-mechanical system of one-and two-dimensional mechanical rotary motion in their works, such as the missile seeker.…”

Section: Review Of the Developmentmentioning

confidence: 99%

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An automated modelling approach for dynamic performance evaluation of mechatronic multibody systems

Lin

Wang

et al. 2007

Mathematical and Computer Modelling of Dynamical Systems

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An automated modelling approach of mechatronic multibody systems is presented in this paper. The proposed approach uses some object-oriented GUI modules to automatically generate the dynamic equations for different domains, solve them with numerical methods to obtain approximate solutions, and then evaluate the dynamic performances of the systems. By systematically defining an elementary linear graph and its general rules, the modules of mechanical parts and kinematic pairs can be modelled independently of special systems by the extensible elementary linear graph (EELG) method, and the member's dynamic equations can be derived by topology matrices operation. Some major advantages of this procedure are as follows: the combinations of mechanical components could be dealt with as an integrated member and directly assembled with other modules, the topology structure of individual members are described by elementary cutset and circuit matrices derived from the elementary linear graph, rotation vector is used to express angular variables for analysing rotation and translation with same linear graph; the function vertices, opening edges, and self-closed edges are first introduced to elementary linear graph of kinematic pairs modelling, multiport for special mechanical members and different ports for various energy domains are defined, and relation equations linking the ports are given for interdisciplinary domains, so that the modules could have the characteristics of reapplication and extensibility. For two typical cases, the approach carried out on a Modelica/Dymola software platform is proved feasible by comparing the results using the EELG method with those of the conventional approach.

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Section: The Characteristics Of the Eelg Methodsmentioning

confidence: 99%

Section: Review Of the Developmentmentioning

confidence: 99%

An automated modelling approach for dynamic performance evaluation of mechatronic multibody systems

Lin

Wang

et al. 2007

Mathematical and Computer Modelling of Dynamical Systems

View full text Add to dashboard Cite

show abstract

“…Schmitke and McPhee [60] presented an extension of linear graphs to the modelling of mechatronic multibody systems employing the concept of graph theoretic. Consequently, they modelled mechatronic multibody systems by using the equivalent subsystem components.…”

Section: Mechatronic Systemsmentioning

confidence: 99%

An Overview of the Main Topics and Applications of Graph Theoretic Problems in Multiphysics Engineering

Garziad¹,

Saka²

2017

J Appl Mech Eng

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Graph-theoretic concepts are mostly used to study different applications in various areas such as electrical and mechanical engineering, generally multi-physics systems. The interest of researchers on this theory has importantly increased in the last decade. The main goal of this paper is to provide an overview of the use and applications of graph theoretic concept in modelling and analysis of systems in different fields. Therefore, the research topics discussed in this review are going to respect all the mentioned domains and the countries that apply this theory formulation in addition to the community of researchers who are identified by their publishers.

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“…Characterization of design prototypes at this stage is based on form, function and behavior [45] and as components [46] using Word Bond Graphs (WBG) as shown in Fig. 5(a).…”

Section: Stage 1: Conceptual Design Using the Proposed Frameworkmentioning

confidence: 99%

Unified meta-modeling framework using bond graph grammars for conceptual modeling

Ragavan

Shanmugavel

Ganapathy

et al. 2015

Robotics and Autonomous Systems

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Forming Equivalent Subsystem Components to Facilitate the Modelling of Mechatronic Multibody Systems

Cited by 13 publications

References 21 publications

An automated modelling approach for dynamic performance evaluation of mechatronic multibody systems

An automated modelling approach for dynamic performance evaluation of mechatronic multibody systems

An Overview of the Main Topics and Applications of Graph Theoretic Problems in Multiphysics Engineering

Unified meta-modeling framework using bond graph grammars for conceptual modeling

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