Multiport Models in Mechanics

1972 ◽  
Vol 94 (3) ◽  
pp. 206-212 ◽  
Author(s):  
R. C. Rosenberg

Problems in mechanics involving rigid bodies in large-scale motion in force fields of both conservative and nonconservative types are approached from a multiport viewpoint. A procedure for constructing bond graph models based on key geometric variables and the velocity transformations relating them is described. Contributions of such models to improving the representation and communication of system structure, the formulation of governing state-space equations, and the direct digital simulation of complicated mechanics problems are suggested.

1971 ◽  
Vol 93 (1) ◽  
pp. 35-40 ◽  
Author(s):  
R. C. Rosenberg

A novel procedure for systematically generating state-space equations for multiport systems is presented. The method is based upon a bond graph representation of the system and causal manipulation of the field equations. Principal advantages of the method are the ability to anticipate formulation properties before writing equations, the availability of a simple check for correctness of the initial system relations, and the specification of a systematic reduction procedure for obtaining state-space equations in terms of energy variables.


1995 ◽  
Vol 117 (3) ◽  
pp. 401-410 ◽  
Author(s):  
A. A. Zeid ◽  
J. L. Overholt

This paper develops a bond graph-based formalism for modeling multibody systems in a singularly perturbed formulation. As opposed to classical multibody modeling methods, the singularly perturbed formulation is explicit, which makes it suitable for modular simulation. Kinematic joints that couple rigid bodies are described by a set of differential equations with an order of magnitude smaller time scale than that of the system. Singularly perturbed models of joints can be used to investigate nonlinear properties of joints, such as clearance and friction. The main restriction of this approach is that the simulation may need to be computed using 64 bits precision because of the two-time scale nature of the solution. The formalism is based on developing bond graph models of an elementary set of graphical velocity-based constraint functions. This set can be used to construct bond graphs of any type of mechanical joint. Here, this set is used to develop bond graphs of several joints used in multibody systems and spatial mechanisms. Complex models of multibody systems may now be built by graphically concatenating bond graphs of rigid bodies and bond graphs of joints. The dynamic equations of the system are automatically generated from the resulting bond graph model. The dynamic equation derived from the bond graph are in explicit state space form, ready for numerical integration, and exclude the computationally intensive terms that arise from acceleration analysis.


1970 ◽  
Vol 92 (2) ◽  
pp. 355-362 ◽  
Author(s):  
D. Karnopp ◽  
R. C. Rosenberg

General bond graph methods for the description, analysis, and simulation of dynamic systems are illustrated through the study of vehicle drive line dynamics. Emphasis is placed upon the problem of assembling a compatible and efficient system description from multiport models of the system components. Examples show how state space descriptions for analysis and block diagrams for analog simulation may be obtained systematically from bond graphs. Digital simulation is conveniently accomplished using the ENPORT programs, which accept bond graphs directly.


2000 ◽  
Vol 179 ◽  
pp. 205-208
Author(s):  
Pavel Ambrož ◽  
Alfred Schroll

AbstractPrecise measurements of heliographic position of solar filaments were used for determination of the proper motion of solar filaments on the time-scale of days. The filaments have a tendency to make a shaking or waving of the external structure and to make a general movement of whole filament body, coinciding with the transport of the magnetic flux in the photosphere. The velocity scatter of individual measured points is about one order higher than the accuracy of measurements.


Water ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 248
Author(s):  
Sencer Yücesan ◽  
Daniel Wildt ◽  
Philipp Gmeiner ◽  
Johannes Schobesberger ◽  
Christoph Hauer ◽  
...  

A systematic variation of the exposure level of a spherical particle in an array of multiple spheres in a high Reynolds number turbulent open-channel flow regime was investigated while using the Large Eddy Simulation method. Our numerical study analysed hydrodynamic conditions of a sediment particle based on three different channel configurations, from full exposure to zero exposure level. Premultiplied spectrum analysis revealed that the effect of very-large-scale motion of coherent structures on the lift force on a fully exposed particle resulted in a bi-modal distribution with a weak low wave number and a local maximum of a high wave number. Lower exposure levels were found to exhibit a uni-modal distribution.


Author(s):  
Christoph Bregler ◽  
Clothilde Castiglia ◽  
Jessica DeVincezo ◽  
Roger Luke DuBois ◽  
Kevin Feeley ◽  
...  

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