221 lines
7.6 KiB
Markdown
221 lines
7.6 KiB
Markdown
---
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title: "Bond graph"
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chunk: 11/11
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source: "https://en.wikipedia.org/wiki/Bond_graph"
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category: "reference"
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tags: "science, encyclopedia"
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date_saved: "2026-05-05T14:13:40.582713+00:00"
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instance: "kb-cron"
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---
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Vergent-factor:
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ϕ
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L
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=
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{
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Prismatic
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:
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length
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cross-sectional
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area
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Cylinder
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:
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ln
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(
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r
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)
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2
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π
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⋅
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length
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Sphere
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:
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1
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4
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π
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∥
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−
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)
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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}}}
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Other systems:
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Thermodynamic power system (flow is entropy-rate and effort is temperature)
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Electrochemical power system (flow is chemical activity and effort is chemical potential)
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Thermochemical power system (flow is mass-rate and effort is mass specific enthalpy)
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Macroeconomics currency-rate system (displacement is commodity and effort is price per commodity)
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Microeconomics currency-rate system (displacement is population and effort is GDP per capita)
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== References ==
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== Further reading ==
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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.
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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)
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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.
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Thoma, Jean Ulrich (1975). Bond graphs: introduction and applications. Oxford: Pergamon Press. ISBN 0-08-018882-6.
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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.
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Brown, Forbes T. (2007). Engineering system dynamics – a unified graph-centered approach. Boca Raton: Taylor & Francis. ISBN 978-0-8493-9648-9.
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Mukherjee, Amalendu; Karmakar, Ranjit (2000). Modelling and simulation of engineering systems through bondgraphs. Boca Raton: CRC Press. ISBN 978-0-8493-0982-3.
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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.
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Borutzky, Wolfgang (2010). Bond Graph Methodology. London: Springer. doi:10.1007/978-1-84882-882-7. ISBN 978-1-84882-881-0.
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http://www.site.uottawa.ca/~rhabash/ESSModelFluid.pdf Explains modeling the bond graph in the fluid domain
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http://www.dartmouth.edu/~sullivan/22files/Fluid_sys_anal_w_chart.pdf Explains modeling the bond graph in the fluid domain
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== External links ==
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Simscape Official MATLAB/Simulink add-on library for graphical bond graph programming
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BG V.2.1 Freeware MATLAB/Simulink add-on library for graphical bond graph programming
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BondGraphTools Python based bond graph processing. |