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Rotor System

The document outlines a presentation on rotor systems with the following key points: 1) It discusses preliminary concepts of rotors like critical speeds, stability, damping coefficients and dynamic behavior. 2) Chapter 2 reviews literature on topics like linearization, FEM analysis, unbalance, vibration control and condition monitoring. 3) Mathematical models of increasing complexity are presented to analyze rotors, from linear to nonlinear, analytical to numerical solutions.

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Mojtaba Hasanlu
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40 views15 pages

Rotor System

The document outlines a presentation on rotor systems with the following key points: 1) It discusses preliminary concepts of rotors like critical speeds, stability, damping coefficients and dynamic behavior. 2) Chapter 2 reviews literature on topics like linearization, FEM analysis, unbalance, vibration control and condition monitoring. 3) Mathematical models of increasing complexity are presented to analyze rotors, from linear to nonlinear, analytical to numerical solutions.

Uploaded by

Mojtaba Hasanlu
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Presentation 1

Rotor System

OTCE
Winter 2021
outline
Totally, we would like to provide an scientific archive of rotor system due to
know and understand mechanical behavior of rotors for future

Chapter 1 –Preliminary concepts and explanations


Chapter 2 – Literature Review

Chapter 3 – Math Models

Chapter 4 - Conclusion
Chapter 5 - Reference
Chapter 1 –Preliminary concepts and explanations
Aim and Scope
Explain concepts of rotor in order
to scrutinize mechanical behaviors
into rotor

Rotor Machinery maintains main


elements such as shaft, bearing,
rotors, stator

Static models are presented strength


of material in shaft, bearings, blade,
rotor, stator

Dynamic model presents mechanical


behavior based on time variant such
displacements
Chapter 1 –Preliminary concepts and explanations
Explain concepts of rotor in order to scrutinize mechanical behaviors into rotor
Concepts
Undamped critical speeds
Lateral critical speeds Bearing performance
Torsional critical speeds Stiffness and damping coefficients
Stability Damped unbalance response amplitudes and
Bearing frequencies
Campbell Diagram Rotor stability
for understanding the Mode shapes
dynamic behavior of the
rotating machines Undamped critical speeds
Transient critical speeds, including
Campbell diagram synchronous motor start-ups
linearized nonlinear rotating Mode shapes
system in order to determine Cumulative fatigue criteria, such as maximum
critical spine speed of rotor starts

Aerodynamic cross coupling


Logarithmic decrement predictions

Fluid film, tilting pad bearings


Chapter 2 – Literature Rearview

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

Condition Monitoring

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

Static and dynamic analysis


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

 Nonlinear model
 3D-FEM
 Unbalance Response
 Modal analysis
 CFD
Chapter 3 – Math Models

simplest Math Models advanced

linear analytical MATLAB

nonlinear numerical ANSYS


ABAQUS
Modeling
Frequency Mode shape Mistuning
porous Crack
Modal analysis
fracture
Strength of material

Static

Rotor Response

Dynamic

Vibration Condition monitoring control


Shock Diagnoses and fault detection
Noise Unhealthy bearing
Stability Instability

Harmonic clearance
unbalancing
Random and stochastic
misalignment
Aerodynamic
Electrical motor
CFD Flutter FSI
Model 1

𝑚𝑑
Shaft
𝑚𝑑

𝑚𝑠
𝑘1 𝑐1 𝑘2 𝑐2

Bearing
Impeller

𝑚𝑠 𝑦 𝑐1 + 𝑐2 𝑦 + 𝑘1 + 𝑘2 𝑦 = 𝐹 + 𝑚𝑑 𝑔 + 𝑚𝑠 𝑔
𝐿
𝐼𝜃 + 𝑘2 𝑦 + 𝑐2 𝑦 𝐿 + 𝑚𝑑 𝑔 + 𝑚𝑠 𝑔 = 𝐹𝑥0 + 𝜏
2
Model 2
y

𝑀𝑞 + 𝐶 + Ω𝐺 𝑞 + 𝐾𝑞 = 𝐹 + 𝜏
𝑥
𝑞= 𝑦
Model 3

𝑚𝑥 + 𝑐𝑥 + 𝑘𝑥 = 𝑚(𝑢𝜑 sin 𝜑 + 𝑢𝜑 2 cos 𝜑)

𝑚𝑦 + 𝑐𝑦 + 𝑘𝑦 = 𝑚(𝑢𝜑 2 sin 𝜑 − 𝑢𝜑 cos 𝜑)

𝑚𝜑 + 𝑐𝜑 + 𝑘𝜑 = 𝜏 − 𝑝 = 𝑚 𝑥 𝑢 sin 𝜑 − 𝑦𝑢 cos 𝜑

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