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Bond graph 11/11 https://en.wikipedia.org/wiki/Bond_graph reference science, encyclopedia 2026-05-05T14:13:40.582713+00:00 kb-cron

Vergent-factor:

      ϕ
      
        L
      
    
    =
    
      
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                  Prismatic
                
              
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                      length
                    
                    
                      
                        
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                          area
                        
                      
                    
                  
                
              
            
          
          
            
              
                
                  Cylinder
                
              
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                          length
                        
                      
                    
                  
                
              
            
          
          
            
              
                
                  Sphere
                
              
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{\displaystyle \phi _{L}={\begin{cases}{\textrm {Prismatic}}:\ {\dfrac {\textrm {length}}{{\textrm {cross-sectional}}\ {\textrm {area}}}}\\{\textrm {Cylinder}}:\ {\dfrac {\ln \left({\frac {\mathrm {radius_{out}} }{\mathrm {radius_{in}} }}\right)}{2\pi \cdot {\textrm {length}}}}\\{\textrm {Sphere}}:\ {\dfrac {1}{4\pi \left(\mathrm {radius_{in}} \parallel \mathrm {-radius_{out}} \right)}}\end{cases}}}

Other systems:

Thermodynamic power system (flow is entropy-rate and effort is temperature) Electrochemical power system (flow is chemical activity and effort is chemical potential) Thermochemical power system (flow is mass-rate and effort is mass specific enthalpy) Macroeconomics currency-rate system (displacement is commodity and effort is price per commodity) Microeconomics currency-rate system (displacement is population and effort is GDP per capita)

== References ==

== Further reading == Kypuros, Javier (2013). System dynamics and control with bond graph modeling. Boca Raton: Taylor&Francis. doi:10.1201/b14676. ISBN 978-1-4665-6075-8. Paynter, Henry M. (1960). Analysis and design of engineering systems. M.I.T. Press. ISBN 0-262-16004-8. {{cite book}}: ISBN / Date incompatibility (help) Karnopp, Dean C.; Margolis, Donald L.; Rosenberg, Ronald C. (1990). System dynamics: a unified approach. New York: John Wiley & Sons. ISBN 0-471-62171-4. Thoma, Jean Ulrich (1975). Bond graphs: introduction and applications. Oxford: Pergamon Press. ISBN 0-08-018882-6. Gawthrop, Peter J.; Smith, Lorcan P. S. (1996). Metamodelling: bond graphs and dynamic systems. London: Prentice Hall. doi:10.5281/zenodo.6998395. ISBN 0-13-489824-9. Brown, Forbes T. (2007). Engineering system dynamics a unified graph-centered approach. Boca Raton: Taylor & Francis. ISBN 978-0-8493-9648-9. Mukherjee, Amalendu; Karmakar, Ranjit (2000). Modelling and simulation of engineering systems through bondgraphs. Boca Raton: CRC Press. ISBN 978-0-8493-0982-3. Gawthrop, P.J.; Ballance, D.J. (1999). "Chapter 2: Symbolic computation for manipulation of hierarchical bond graphs". In Munro, N. (ed.). Symbolic Methods in Control System Analysis and Design. London: Institution of Electrical Engineers. pp. 23-52. ISBN 0-85296-943-0. Borutzky, Wolfgang (2010). Bond Graph Methodology. London: Springer. doi:10.1007/978-1-84882-882-7. ISBN 978-1-84882-881-0. http://www.site.uottawa.ca/~rhabash/ESSModelFluid.pdf Explains modeling the bond graph in the fluid domain http://www.dartmouth.edu/~sullivan/22files/Fluid_sys_anal_w_chart.pdf Explains modeling the bond graph in the fluid domain

== External links == Simscape Official MATLAB/Simulink add-on library for graphical bond graph programming BG V.2.1 Freeware MATLAB/Simulink add-on library for graphical bond graph programming BondGraphTools Python based bond graph processing.