Eigenvalue Spectra and Bounds for Certain Classes of Dynamic Systems having Tree Bond Graphs

Author(s):  
A. Zeid ◽  
R. Rosenberg
Keyword(s):  
Author(s):  
Germa´n L. Di´az-Cuevas ◽  
Roger F. Ngwompo

A binary encoding method for bond graphs that can be used for genetic algorithms (GAs) applications is presented. The originality of the proposed coding is that it encompasses causal information. This ensures that causal analysis is taken into account in assessing the fitness of topologies generated in GA operations and the suitability of design candidates to meet performance specifications can be tested directly from the binary code as the model equations can be derived from it. The code is suitable for GAs applications on bond graphs (BG) for topology and parameter optimisation in automated synthesis of dynamic systems. The coding method and its possible applications are illustrated through worked examples.


Mechatronics ◽  
2003 ◽  
Vol 13 (8-9) ◽  
pp. 851-885 ◽  
Author(s):  
Kisung Seo ◽  
Zhun Fan ◽  
Jianjun Hu ◽  
Erik D. Goodman ◽  
Ronald C. Rosenberg

1976 ◽  
Vol 98 (4) ◽  
pp. 361-366 ◽  
Author(s):  
F. T. Brown

Two very different dynamic systems, one holonomic and the other nonholonomic, can have identical expressions for generalized kinetic energy, generalized potential energy, and transformational constraints between the generalized velocities, and therefore might be confused. Bond graphs for a broad class of nonholonomic systems are shown to differ from their holonomic counterparts simply by the deletion of certain gyrators. Simple examples suggest the engineering significance of nonholonomic systems.


1977 ◽  
Vol 99 (1) ◽  
pp. 104-111 ◽  
Author(s):  
R. R. Allen ◽  
S. Dubowsky

In recent years, bond graphs have been used to analyze complex dynamic systems. In this paper a bond graph study is made of the kinematics and dynamics of a general mechanism treated as a component of a dynamic system. The method is applicable to multiple-loop, multiple degree-of-freedom mechanisms for which the displacement and velocity loop equations are known. A bond graph multiport representing the kinematic relations forms a power-conserving core to which dissipative, inertial, and compliance effects may be added to form a dynamic mechanism model. A constitutive relation suitable for automatic computation is derived in terms of system variables. A numerical example is presented illustrating an application of the technique.


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