1 / 37

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).

melva
Download Presentation

This man is not a dummy

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related