Bicycle 5 - Dynamic Model Fig 1 – Bicycle Dynamics Fail

Literature Review Compendex (Requirements): 1) Journal Article 2) Analysis of an overall 2D bike and rider model 3) 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 Diagram Source List for Constants K 1,C 1 – [2] K 2,C 2 – K 3,C 3 – [3] K 4,C 4 – [3] K 5,C 5 – 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 method  Verify accuracy and check for errors  Check with Dr. Schmitt for help Risks  Model Development and EOM will take time to develop  May 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, , Sept [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 , Aug [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, [4] J.P. Wideberg “Dynamic effect of the non-rigid modified bicycle model,” Journal of Automobile Engineering, vol. 216, n. 9, pp , [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 , Dec [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 , pp , 2003.