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This man is not a dummy

This man is not a dummy. Maximum power, minimum weight. Isaac Newton (1643 -1727). F=m*a. Also known from the Da Vinci Code. Robert Hooke (1635 – 1703). Force (F). F=k*s. Extension (s). Daniel Bernoulli (1700 -1782). ½ r v 2 + r gh+p=constant. Joseph Fourier (1768-1830).

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This man is not a dummy

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  1. This man is not a dummy

  2. Maximum power, minimum weight

  3. Isaac Newton (1643 -1727) F=m*a Also known from the Da Vinci Code

  4. Robert Hooke (1635 – 1703) Force (F) F=k*s Extension (s)

  5. Daniel Bernoulli (1700 -1782) ½rv2+rgh+p=constant

  6. Joseph Fourier (1768-1830) q=k(T-Tref)/L

  7. Georg Ohm (1787 – 1854) V=I*R

  8. James Maxwell (1831 – 1879)

  9. Dmitri Mendelejev (1834 – 1907)

  10. Science can be fun ... (1879-1955) ... and rewarding (1833-1896)

  11. fun... ...failure... ... and disaster...

  12. This bridge should have been modeled

  13. Why modeling? • Suppose the laws of physics were unknown • Every idea must be tested... ...and tested ... and tested • Trial and error: very expensive .....

  14. Why modeling? Save money by 1 Describing the physics mathematically 2 Solving the mathematical problem PHYSICS IDEA BY FORMULA SOLUTION dynamics: Newton: F=m*a -> a=F/m mechanics: Hooke: F=k*s -> s=F/k gas/liquid flow Bernoulli: ½rv2+rgh+p=c -> v=2√ [(c-rgh-p)/r] heat: Fourier: q=k(T-Tref)/L -> T=qL/k+Tref current Ohm: V=I*R -> I=V/R electromagnetics Maxwell: Ask Magnus Olsson ..............

  15. Why modeling with software • Simple geometry => Single equation • Complex geometries => lots of equations F=k*s -> s=F/k s=???

  16. Why Comsol? • Lots of physics, lots of software • Elasticity – Abaqus, Ansys, Nastran etc • Air resistance – Fluent, CFX etc • Electronics – Ansoft, Maxwell • Heat transfer – Flowterm • Chemical reactions – Aspen • COMSOL covers all

  17. Why Comsol? • Do we need to model all physics? • Not always. But Comsol is very userfriendly

  18. Why Comsol? • Many times physics influences other physics • Other softwares then need to be bundeled • Comsol is specifically written for this • Chemical reactions produce heat • Electronic get hot • Hot devices expand or melt • expensive • lots of work to write interfaces

  19. Comsol! • for all your research and development • Affordable • Powerfull • Userfriendly • Competative

  20. How does Comsol work? • Geometry -> create computerdrawing • Physics -> laws of nature (F=k*s etc.) • Meshing -> to handle complex geometry together with the physics • Solving -> Mathematical operations • Postprocessing -> Viewing the results

  21. Graphical User Interface (GUI)

  22. Meshing, solving and viewing

  23. More detailed example F=k*s sleft sright Finternal=k*sinternal sinternal ? Fexternal ?

  24. Geom -> Physics -> Mesh -> Equations

  25. Nodes

  26. Displacements S5 S2 S7 S17 S44 S1 S9 S23 S49 S4 S18 S8 S3

  27. Equations S5 S2 F7=k7*S7+neighboring nodal influence S17 S44 F1 = k1*S1 + neighboring nodal influence + external force S9 S23 S49 S4 S18 F8=k8*S8+neighboring nodal influence S3 External force External force

  28. A large set of equations F1=k1*S1+neighboring nodal influence + external force . . . . F7=k7*S7 + neighboring nodal influence F8=k8*S8 + neighboring nodal influence . . . . F49=k49*S49+neighboring nodal influence + external force

  29. Fully write out all equations • Neighboring nodal influence must be described mathematically

  30. Can be put in a matrix equation

  31. which can then be solved Remember F=k*s => s=F/k => s=(1/k)*F Comsol does this all under the hood

  32. And finally.... viewing the results • Results can be viewed

  33. Even by animations

  34. Comsol’s next topmodel?

  35. Thank you for your attention Next up: Discussion Coffee Soccer

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