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# Gear vibration project Presentation - PowerPoint PPT Presentation

Gear vibration project Presentation. Peter Munz MSc student University of Arizona. Contents. 1. Background 2. Problem statement 3. Modeling the problem 4. Solution 4.1.How the code works 4.2.Results 5. Experiment design 5.1 Equipment data 5.2 Assembly details 5.3 Component design

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Presentation Transcript

### Gear vibration project Presentation

Peter Munz

MSc student

University of Arizona

1. Background

2. Problem statement

3. Modeling the problem

4. Solution

4.1.How the code works

4.2.Results

5. Experiment design

5.1 Equipment data

5.2 Assembly details

5.3 Component design

6. Future work

• Gearbox failure

• Find a method to detect cracks present in spur gear teeth from accelerometer data before fracture

• Mechanical arrangment: Motor, Pinion gear, Driven gear, Load

Ti: torques [Nm]qi: angular coordinates [rad]

i = M,1,2,L : Motor, Pinion, Driven gear, Load

• Mechanical model: 4 DoF torsional spring-damper-mass system

ML

MM

Ji: mass moment of inertia [kg m2]Ks1, Ks2 : shaft stiffness [Nm/rad]

Kg(t) : gear mesh stiffness [Nm/rad]

Cs1,Cs2 : shaft damping [Nm s]

Cg(t) : gear mesh damping[Nm s]

MM: motor torque [Nm]ML: load torque [Nm]

• Simplified mechanical model: 2 DoF damped torsional spring-mass system

• Mathematically – 2 damped Hill equations with forcing terms MM and ML:

cG = const.

MM = const.

ML= const.

• kG(t) as a superposition of 2 functions

• k1(t): stiffness function of healthy gears meshing

• k2(t): stiffness function of damaging effect

k1:

Parameters:

k0 – stiffness when two teeth pairs are in contact [Nm/rad]

kr – reduction ratio of stiffness when one pair is in contact to k0 [-]

k2:

kdr – ratio of damage to k0 [-]

z – number of teeth [-]

w - angular frequency of rotation [rad/s]

T – period of revolution T = 2 p / w [s]

k1-k2:

Tm – mesh time Tm=T/z [s]

4.1 Numerical solution with Matlab:How it works?

5.1 Design: equipment data - 1

5.1 Design: equipment data - 2

5.2 Assembly details - 1

5.2 Assembly details - 2

5.2 Assembly details - 3

• Section A

5.2 Assembly details - 4

• Section B

5.3Component design - 1

• Input shaft

5.3Component design - 2

• Ouptut shaft

5.3Component design - 3

• Bearing housing

5.3Component design - 3

• Bearing housing 2

• Simulate: develop analytical model

• Design: make final decision for drive, enclosure, torque coupling, lubrication

• Prepare: assemble rig according to design

• Build: base frame, shafts, bearing housing, sensor adapter

• Buy: motor(?), bearings, coupling, gears

• Experiment: conduct measurements

• Evaluate: compare measurement and simulation results