Gear vibration project presentation
Download
1 / 23

Gear vibration project Presentation - PowerPoint PPT Presentation


  • 68 Views
  • Uploaded on
  • Presentation posted in: General

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

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha

Download Presentation

Gear vibration project Presentation

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


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

6. Future work


1. Background - 1

  • Gearbox failure


2. Problem statement - 1

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


3. Modeling the problem - 1

  • 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


3. Modeling the problem - 2

  • 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]


3. Modeling the problem - 3

  • 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.

Rb1: pinion gear base radius

Rb2: driven gear base radius


3. Modeling the problem - 4

  • kG(t) as a superposition of 2 functions

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

    • k2(t): stiffness function of damaging effect


3. Modeling the problem - 5

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?


4.2 Results


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


6. Future work

  • 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


Thank you!


ad
  • Login