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SPA AR: A Finite Element Approach in Flexible Multibody Dynamics

September 27, 2004. 2. Acknowledgement. TUdelft:Hans BesselingKlaas Van der WerffHelmut RankersTon Klein BretelerJaap Meijaard MSc students. UTwente:Ben JonkerRonald Aarts MSc students. September 27, 2004. 3. Contents. RootsModellingSome Finite ElementsEqn's of MotionExamplesDi

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SPA AR: A Finite Element Approach in Flexible Multibody Dynamics

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    1. 1 SPAÇAR: A Finite Element Approach in Flexible Multibody Dynamics UIC Seminar

    2. September 27, 2004 2 Acknowledgement TUdelft: Hans Besseling Klaas Van der Werff Helmut Rankers Ton Klein Breteler Jaap Meijaard … MSc students

    3. September 27, 2004 3 Contents Roots Modelling Some Finite Elements Eqn’s of Motion Examples Discussion

    4. September 27, 2004 4 Engineering Mechanics at Delft From Analytical Mechanics in 50’s: Warner T. Koiter On the Stability of Elastic Equilibrium, 1945 To Numercial Methods in Applied Mechanics in 70’s: Hans Besseling The complete analogy between the matrix equations and the continuous field equations of structural analysis, 1963

    5. September 27, 2004 5 Mechanism and Machine Theory

    6. September 27, 2004 6 Mechanism and Machine Theory, Kinematics

    7. September 27, 2004 7 Mechanism and Machine Theory, Kinematics

    8. September 27, 2004 8 Multibody System Dynamics Finite Element Approach

    9. September 27, 2004 9 Multibody System Dynamics Finite Element Approach

    10. September 27, 2004 10 Multibody System Dynamics Finite Element Approach

    11. September 27, 2004 11 Multibody System Dynamics

    12. September 27, 2004 12 3D Beam Element

    13. September 27, 2004 13 3D Hinge Element

    14. September 27, 2004 14 3D Truss Element

    15. September 27, 2004 15 3D Wheel Element

    16. September 27, 2004 16 3D Wheel Element

    17. September 27, 2004 17 Ex. Universal or Cardan Joint

    18. September 27, 2004 18 Ex. Universal or Cardan Joint

    19. September 27, 2004 19 Dynamic Analysis

    20. September 27, 2004 20 Ex. ILTIS Road Vehicle Benchmark

    21. September 27, 2004 21 Ex. ILTIS Road Vehicle Benchmark

    22. September 27, 2004 22 Ex. ILTIS Road Vehicle Benchmark

    23. September 27, 2004 23 Ex. Slider-Crank Mechanism

    24. September 27, 2004 24 Linearized Equations of Motion

    25. September 27, 2004 25 Ex. Slider-Crank Mechanism

    26. September 27, 2004 26 Linearized Equations of Motion at Nominal Periodic Motion

    27. September 27, 2004 27 Linearized Equations of Motion at Nominal Periodic Motion

    28. September 27, 2004 28 Ex. Slider-Crank Mechanism

    29. September 27, 2004 29 Ex. Slider-Crank Mechanism

    30. September 27, 2004 30 Ex. Slider-Crank Mechanism

    31. September 27, 2004 31 Ex. Dynamics of an Uncontrolled Bicycle

    32. September 27, 2004 32 Ex. Dynamics of an Uncontrolled Bicycle

    33. September 27, 2004 33 Ex. Dynamics of an Uncontrolled Bicycle

    34. September 27, 2004 34 Ex. Dynamics of an Uncontrolled Bicycle

    35. September 27, 2004 35 Ex. Dynamics of an Uncontrolled Bicycle

    36. September 27, 2004 36 Ex. Dynamics of an Uncontrolled Bicycle

    37. September 27, 2004 37 Ex. Dynamics of an Uncontrolled Bicycle

    38. September 27, 2004 38 Ex. Dynamics of an Uncontrolled Bicycle

    39. September 27, 2004 39 Conclusions SPAÇAR is a versatile FEM based Dynamic Modeling System for Flexible and/or Rigid Multibody Systems . The System is capable of modeling idealized Rolling Contact (Non-Holonomic Constraints). The System uses a set of minimal independent state variables, which avoid the use of differential-algebraic equations. The Equations of Motion can be Linearized Analytically at any given state.

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