AMME3500 SYSTEMS DYNAMICS AND CONTROL.

AMME3500
SYSTEMS
DYNAMICS
AND
CONTROL
DESIGN PROJECT 02

TABLE OF CONTENTS
1. INTRODUCTION.................................................................................................... 2
2. SYSTEM MODEL & PROBLEM DEFINITION...........................................................3
2.1. PROBLEM STATEMENT.................................................................................. 3
2.2. AIMS OF THE PROJECT.................................................................................. 4
3. SOLUTIONS & NUMERICAL VALIDATION.............................................................4
3.1. VIBRATION RESPONSE...................................................................................5
3.2. DYNAMIC SYSTEM MODELLING.....................................................................6
3.3. FEEDBACK CONTROLLER............................................................................10
4. CONCLUSION..................................................................................................... 15
5. REFERENCES...................................................................................................... 16
1

1. INTRODUCTION
The young people are turning to high speed motorbikes as a sport. The motorbike sporting is
considered an extreme sport and such a system requires a lot of aerodynamic and mechanical
attention during design to avoid mishaps. Figure 1 shows the free body diagram of the
motorbike under study for the 2 DOF in system dynamic modelling. In this report we seek to
discuss the 2DOF modelling and dynamic behavior of the system using MATLAB
simulation. The system is modelled and the design influences the design choices.
Systems have several degrees of freedom and the lumped mass spring and damper system
models are used to model the motorcycle. There has been a significant improvement in the
non-linear system and it is crucial to determine the excitation based on time factor. There are
force vibrations produced based on the elastic and inertial properties based on free vibrations.
Forced vibrations in the system dynamics are as a result of external forces based on unit
deflection and damping per the unit velocity. Spring mass damper systems are also known as
vibrating systems. If any of the basic elements behave nonlinearly then the system is a non-
linear system. If the value of excitation at a given time cannot be predicted, then vibrations
are called random vibrations.
The free steering system of the motorcycle presents an oscillatory motion and the tendencies
are encountered in the operating range. The desirable motion is based on the commands input
in the motorcycle system and the stability is determined from the design. The aerodynamic
2

drag and pitch moments is given based on the Ninja Kawasaki motorcycle. The bike is seen
to have a steady-state drag force with a lift force and the pitching moment for the data and
the wind tunnel testing is given for the prone rider. Another angle to the dynamic modelling
is with respect to the tyre-road contact modelling.
2. SYSTEM MODEL & PROBLEM DEFINITION
The number of independent coordinates required to propel a particular system define the
degrees of freedom. It is assumed that the system has a second degree of freedom, the spring
and dampers are not at faults and do not have any drag. The resistance force for the system is
assumed to be negligible and the motorcycle remains steady on the test terrain and while
negotiating a ramp. The system model provides a simplified representation of the system at a
given point in time or space. The model seeks to describe a real world object.
The MATLAB software is used to perform the simulation based on the time but in a limited
version. The behavior of the system when exposed to different scenarios is examined and
results are obtained. In this report, a continuous modelling simulation is performed. The time
control is described by the continuous variables and the interactions are based on the key
process factors for the qualitative relationship method.
2.1. PROBLEM STATEMENT
The motorbike under study is the Ninja® ZXTM -14r ABS SE is an ultra-powerful, 1,441cc
inline four cylinder engine. It has advanced electronics, an innovative monocoque frame and
stunning bodywork.
3