rotor system

1. Presentation 1
Rotor System
OTCE
Winter 2021

2. outline
Chapter 2 – Literature Review
Chapter 3 – Math Models
Chapter 1 –Preliminary concepts and explanations
Chapter 4 - Conclusion
Chapter 5 - Reference
Totally, we would like to provide an scientific archive of rotor system due to
know and understand mechanical behavior of rotors for future

3. Explain concepts of rotor in order
to scrutinize mechanical behaviors
into rotor
Chapter 1 –Preliminary concepts and explanations
Static models are presented strength
of material in shaft, bearings, blade,
rotor, stator
Rotor Machinery maintains main
elements such as shaft, bearing,
rotors, stator
Aim and Scope
Dynamic model presents mechanical
behavior based on time variant such
displacements

4. Explain concepts of rotor in order to scrutinize mechanical behaviors into rotor
Chapter 1 –Preliminary concepts and explanations
Concepts
Lateral critical speeds
Torsional critical speeds
Stability
Bearing
Campbell Diagram
Undamped critical speeds
Bearing performance
Stiffness and damping coefficients
Damped unbalance response amplitudes and
frequencies
Rotor stability
Mode shapes
Undamped critical speeds
Transient critical speeds, including
synchronous motor start-ups
Mode shapes
Cumulative fatigue criteria, such as maximum
starts
Aerodynamic cross coupling
Logarithmic decrement predictions
Fluid film, tilting pad bearings
for understanding the
dynamic behavior of the
rotating machines
Campbell diagram
linearized nonlinear rotating
system in order to determine
critical spine speed of rotor

5. Chapter 2 – Literature Rearview
 Linearization
 FEM and analytical solution
 Unbalance/stability
 Vibration control
 Modal analysis

6. Chapter 2 – Literature Rearview
Condition Monitoring
 Fault detection
 Unbalance
 Bearing dynamic
 Crack
 Control by magnetic bearing

7. Chapter 2 – Literature Rearview
Static and dynamic analysis
Modal analysis (Frequency and
mode shape)
Crack and fracture mechanics
Finite element method

8. Chapter 2 – Literature
Rearview

9. Chapter 2 – Literature Rearview
 Nonlinear model
 3D-FEM
 Unbalance Response
 Modal analysis
 CFD

10. Chapter 3 – Math Models
Math Models
simplest advanced
MATLAB
ANSYS
ABAQUS
analytical
numerical
linear
nonlinear

11. Rotor Response
control
Frequency Mode shape Mistuning
Modal analysis
porous Crack
fracture
Strength of material
Modeling
Vibration
Shock
Noise
Stability
Harmonic
Random and stochastic
Aerodynamic
CFD Flutter FSI
Condition monitoring
Diagnoses and fault detection
Unhealthy bearing
Instability
clearance
unbalancing
misalignment
Electrical motor
Static
Dynamic

12. 𝑚𝑑
Bearing
Impeller
Shaft
𝑘1 𝑐1 𝑘2
𝑐2
𝑚𝑑
𝑚𝑠
Model 1
𝑚𝑠𝑦 𝑐1 + 𝑐2 𝑦 + 𝑘1 + 𝑘2 𝑦 = 𝐹 + 𝑚𝑑𝑔 + 𝑚𝑠𝑔
𝐼𝜃 + 𝑘2𝑦 + 𝑐2𝑦 𝐿 + 𝑚𝑑𝑔 + 𝑚𝑠𝑔
𝐿
2
= 𝐹𝑥0 + 𝜏

13. Model 2
𝑀𝑞 + 𝐶 + Ω𝐺 𝑞 + 𝐾𝑞 = 𝐹 + 𝜏
𝑞 =
𝑥
𝑦
y
x

14. Model 3
𝑚𝑥 + 𝑐𝑥 + 𝑘𝑥 = 𝑚(𝑢𝜑 sin 𝜑 + 𝑢𝜑2
cos 𝜑)
𝑚𝑦 + 𝑐𝑦 + 𝑘𝑦 = 𝑚(𝑢𝜑2
sin 𝜑 − 𝑢𝜑 cos 𝜑)
𝑚𝜑 + 𝑐𝜑 + 𝑘𝜑 = 𝜏 − 𝑝 = 𝑚 𝑥𝑢 sin 𝜑 − 𝑦𝑢 cos 𝜑