Multi-body systems

In the last 20 years, there has been a growing interest in investigations concerning porous multi phase bodies. Due to the fact of the increasing body of acquired knowledge in the physics of multi body system, connecting with the wide range of applications, this interest is not remarkable. However, all these new perceptions have to be embedded in a thermomechanical concept. This can be afforded by the Theory of Porous Media. 

Simulation of Multi-body Systems Using Multi-bond Graphs... 

Keywords Break variables Differential-algebraic systems Lagrange multipliers Multi-body system Multi-bond graphs Zero-order causal paths... 

Multi-bond graphs are a vectorial extension of one-dimensional bond graphs. The main objective of this chapter is the modeling of multi-body systems using multibond graphs and how to solve the problem that these systems present when zero-order causal paths (ZCPs) appear. 

The first part of the chapter describes how multi-body systems are modeled using MBGs. There is an explanation of how the basic bond graph of a rigid body is constructed in space and how kinematic constraints are set. Also included is how to simplify these models when planar movement is considered. 

Simulation of Multi-body Systems Using Multi-bond Graphs 9.2.1.1 The Storage Field [C]... 

Various authors have publications about systems modeled with multi-bond graphs [4, 7, 9,18-21], A typical scenario where ZCPs appear in MBG modeling is in multi-body systems [7, 9],... 

The first part of the chapter described how multi-body systems are modeled using multi-bond graphs. 

An application example of a multi-body system including a combination of the new classes of ZCPs has been included in order to show the proposed method. 

Bos, A.M., 1986, Modeling multi-body systems in terms of multi-bond graphs . Ph. D. Thesis, Twente University, Enschede, The Netherlands. 

Zeid, A., Chang, D., 1989, Multiport modeling of multi-body systems An approach to computer aided design of multibody controls . Proceedings 1989 American Control Conference, Vol. 2, pp. 1816-1821. 

The dynamic behaviour of structural systems can be characterised in terms of natural frequencies and modes, including possible rigid-body modes in multi-body systems. If the natural modes of a system are supposed to be actively controlled using actuators and sensors, these elements must be able to influence and sense, respectively, the appropriate modal oscillations. If a mode cannot be detected by a given sensor, it is not observable. Analogously, a pin force actuator located in a node of a mode shape is imable to excite this mode, which is then said to be not controllable. 

Guigoze, M., Muller, R C. (1992). Optimal positioning of dampers in multi-body systems. Journal of Sound and Vibration, 158, 517-530. doi 10.1016/0022-460X(92)90422-T... 

O. P. Agrawal S. Saigal, Dynamic Analysis of Multi-Body Systems Using Tangent Coordinates, Comp. Struct. 31 (1989), 349-355. 

W. Schiehlen (1990) Multi Body Systems Handbook, Springer-Verlag. 

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