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MECH3422 - Dynamic System Modelling and Control

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Ishik University

   

Building Services Engineering (MECH 3422)

   

Added on  2020-03-07

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Dynamic System Modelling and Control: The motorbike is a two-wheeled automobile with a rolling motion and gyroscopic moments. Motorbikes are a convenient mode of transport and they are environmentally friendly.

MECH3422 - Dynamic System Modelling and Control

   

Ishik University

   

Building Services Engineering (MECH 3422)

   Added on 2020-03-07

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1ENEM14015 Dynamic System Modelling and ControlProject 2Single Degree of Freedom SystemsStudent NameProfessor (Tutor)
MECH3422 - Dynamic System Modelling and Control_1
2IntroductionThe motorbike is a two-wheeled automobile with rolling motion and gyroscopic moments. Motorbikes are a convenient mode of transport and they are environmentally friendly. The concept of motorbikes modelling and stabilization has been widely researched [ CITATION Cos06 \l1033 ].(i)System dataParameterData Bike mass (without rider)0.2 kgBike mass (with rider)0.38kgSeat height50cmFuel capacity1000ccFront wheel diameter45cmRear wheel diameter45cmWheel masses0.15kgFront suspension travel, spring and damper rates0.003456Rear suspension travel, spring and damper rates0.004523(ii)AssumptionsIt is assumed that the mass of the driver not only acts at the steering but also displacing his body and it is a substantial fraction of the total mass. It is similarly assumed that the two-wheeled vehicle is intrinsically unstable. The driver has to perform as a stabilizer for the capsize mode. The body of the driver acts as an aerodynamic brake or it can be a control surface that contributes in a substantial way to the aerodynamic forces.
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3Analysis of a Motorbike as a Dynamic System with a single degree of Freedom(i)Mathematical model schematic of the motorbikeThe key concept behind the construction and system modelling of motorbikes is the idea of stabilization. Some linearized momenta are developed around the tilt dynamics about the ζaxis as shown in the equation below,Jd2φdt2=mgιφ+ιFThe stabilization concept is borrowed from the inverted pendulum model. The lateral force, F, is obtained as shown in the kinematics equation,F=m(V02r+dVydt)=m¿(ii)1 DOF free body diagram and modelling equationφδ?TFrontforkFrame?ΣηζδφOhC1C2λ
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