Bicycle5 - Dynamic Model

Fig 1 – Bicycle Dynamics Fail

Literature Review

Compendex (Requirements) :

1) Journal Article2) Analysis of an overall 2D bike and rider model3) Analysis of a piece of a bike and rider model

Parent Model – Base

Fig 2 – From “Full Interactive Model for Interactive Bicycle Simulator” [5].

Fig 3 –Equations for Kinetic (T), Potential (V) Energy and Dissipative Function (D) [5].

Fig 4 –Lagrange’s Equation [5].

Our Proposed Model DiagramSource List for Constants

K1,C1 – [2]

K2,C2 –

K3,C3 – [3]

K4,C4 – [3]

K5,C5–

Rider Inertia – [2]?

Bicycle Inertia

Fig 5 – Dynamic model from [5] with an additional spring and damper added to simulate the dynamics of a front shock.

Springs, Dampers, and Inertia - Rider

Fig 5 – “A Dynamic System Model of an Off-Road Cyclist” [2].

Fig 6 – A table of tested anthropometric parameters quantities , averaged over seven different subjects. [2].

Fig 7 – Spring stiffness and damping constants for the model of a rider [2].

Springs, Dampers, and Inertias - Tires

Fig 8 and 9 – Results from a tire test for spring stiffness and damping parameters [3].

Spring and Damper of the Seat and the Inertia of the Bicycle

Spring and Damper – Front Shock

Completed Model – What Next?

Requires some work Re-Derive Equations of Motion using

Lagrange’s methodVerify accuracy and check for errorsCheck with Dr. Schmitt for help

RisksModel Development and EOM will take time to

developMay be completely incorrect

References, Etc…[1 ]H. Wilczynski, M.L. Hull, “A Dynamic System Model for Estimating Surface-Induced

Frame Loads During Off-Road Cycling,” Journal of Mechanical Design, Transactions Of the ASME, vol. 116, n. 3, pp, 816-822, Sept. 1994.

[2 ]E.L. Wang, M.L. Hull, “A Dynamic System Model of an Off-Road Cyclist,” Journal of Biomechanical Engineering, vol. 119, n. 3, pp. 248-253, Aug. 1997.

[3 ]M. Waechter, F. Riess, and N. Zacharias, “A Multibody Model for the Simulation of Bicycle Suspension Systems,” Vehicle System Dynamics, vol. 37, pp. 3-28, 2002 .

[4 ]J.P. Wideberg “Dynamic effect of the non-rigid modified bicycle model,” Journal of Automobile Engineering, vol. 216, n. 9, pp. 712-722, 2002.

[5 ]Q. He, X, Fan, and D. Ma, “Full Bicycle Dynamic Model for Interactive Bicycle Simulator,” Journal of Computing and Information Science in Engineering, vol. 5, n. 4, pp. 373-380, Dec. 2005.

[6 ]J.K. Titlestad, A.R.Whittaker, A.C. Fairlie-Clarke, M.C. Davie, and S. Grant, “Numerical and Experimental Simulation of Mountain Bike Suspension,” Materials Science Forum, vol. 440-441, pp. 111-118, 2003.