Simulation of Bike Mechanics Anudeep Bichala (18272)

Group Number 3

This Report is submitted to Prof. Dr.-Ing. Dirk Nissing as my course work project.

Declaration:

I hereby declare that this work “Simulation of Bike Mechanics” contains no examples of misconduct, such as plagiarism, any similarity of the text is pure co incidence other than those mentioned in the references for the lecture “Simulation of Power Transmission Systems”.

Contents

1. What is Bike Mechanics?

2. Interface

3. Requirements for Bike Mechanics

4. Inputs and Outputs

5. Forces acting on E-Bike

a) Drag Force

b) Drive Force

c) Tangential Force

d) Rolling Resistance Force (Frictional Force)

e) Force

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• Area of the system is taken in such a way that length of the system is 174 cm and width as 40 cm thinking that cyclist is sitting on the bike. So total area of the system is (1.74*0.4) 0.696 m^2. The taken dimensions are real time measurements which are taken after me sitting on the bicycle.

• Total mass of the system is the combined mass of the cyclist and e-bike. Which are taken as 75kg for cyclist and mass of E-bike is taken as 37kg. On the whole it is 112kg(4).

• Wheel Diameter is taken as 26 inch (0.6604 meter) so radius of the wheel is taken as 0.33 meter.(5)

• Drag co efficient is taken as 0.9 from book High-Tech Cycling by Ed Burke.(6)

• Wheel Inertia is calculated by assuming the mass of the E-Bike tire which is 1.2 Kg and radius is 0.33 meter so the inertia of the wheel becomes 0.13068 and for two wheels it is taken as 0.2613 Kg.m^2.

• Motor torque, Brake torque, Gear Torque values are taken my team mates who are designing Motor, Brake, Gear.

Use Cases

In the below graphs the X-axis represent time in seconds, 1st Y-axis (Top) represent the Angular Speed, 2nd Y-axis (Middle) represent the Measured Speed to ECU, 3rd Y-axis (Bottom) represent the Current position/Distance travelled by cyclist in 10

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The bike’s angular speed and measured speed increases linearly from 0 to 35 rad/s and 12 m/s respectively. The bike travels 60 m in 10 seconds in this Use case.

Use case 3: In case 3, I have taken flat road and now the bike is travelling from Emmerich to Kleve where we go against the wind (20 km/h i.e, 5.5 m/s). The bike’s angular speed and measured speed increases linearly from 0 to 26rad/s and 8.5 m/s respectively. The bike travels 50 m in 10 seconds in this Use case.

Use case 4: In case 4, I have taken slope of the road as 5 with no wind speed. The bike’s angular speed and measured speed increases linearly from 0 to 21rad/s and 7 m/s respectively. The bike travels 36 m in 10 seconds in this Use case.

Use case 5: In case 5, I have taken slope of the road as 10 with no wind speed which got me negative graph so I increased motor and gear torque to 25 N.m and tail wind (-20km/h). The bike’s angular speed and measured speed increases linearly from 0 to 6.5 rad/s and 2.1 m/s respectively. The bike travels 10 m in 10 seconds in this Use