Norther Illinois
University, DeKalb
Vibrational
Aspects for Accelerators
Mike
McGee and Warren
Schappert, Fermilab; and Stef
Janssens, CERN
Purpose and
Audience
The purpose of this course is to introduce the students to the physics and
technology of vibrational analysis for different aspects of particle beam
accelerators. This course is suitable for physics and engineering graduate
students or students from other fields considering accelerator physics as a
possible career. This course also can provide a broader background to
scientists and engineers working in the field of accelerator technology.
Prerequisites
The student must have practical or classroom knowledge of dynamics and
vibration theory. Knowledge of matrices and some familiarity with ANSYS
(a finite element approach) and MATLAB simulation programs are helpful.
It is the
responsibility of the student to ensure that he or she meets the course
prerequisites or has equivalent experience.
Objectives
On completion of this course, the students are expected to understand the
effects of ground motion, cultural and technical noise regarding the stability
of particle accelerators and their components. Furthermore, they will be
able to apply basic engineering principles in regards to vibrational stability
and deploy measurement equipment to properly characterize accelerator component
response to the environment in order to design accelerator component supporting
structures.
Instructional Method
This course includes a series of lectures during the morning sessions, followed
by afternoon laboratory sessions which will introduce students to computer
(MATLAB) simulations and data analysis. Also, the students will be exposed to
hands-on experience of ground motion and accelerator component measurement
using geophones, accelerators and seismometers. These measurements consider
exercises to understand accelerator component stability for components such as
radio-frequency cavities. Some discussion involving Finite Element
Analysis (FEA) approach to accelerator component structural support using ANSYS
will also be included. Problem sets will be assigned which will be
expected to be completed outside of the scheduled class sessions. Two
instructors will be available at all times.
Course Content
The course will include lectures on Dynamic Systems and Vibration Theory and
Control for accelerators focusing on the study of mechanical support design and
stability of critical accelerator beamline and storage ring elements. We will
cover the process of developing a model from the equation of motion to examine
energy dissipation through viscous damping in a linear system and also consider
the dynamical matrix method to solve Eigenvalue problems. Furthermore, we
will investigate techniques of acceleration (piezo device) and motion (seismic
device) measurement, DAQ systems and data analysis in the time and frequency
domains. This will involve integrated displacement and power spectra
measurements.
Reading Requirements
“Vibration Simulation Using MATLAB and ANSYS,” Chapman & Hall/CRC (2000) by
M. Hatch (to be provided by
the USPAS). Also as a reference, “Handbook of Accelerator
Physics and Engineering,” 2nd Edition, Sections 5.13 and 5.14, World Scientific
Publishing Co. (2002) edited by A. W. Chao and M. Tigner (not provided by the USPAS).
Additional materials and lecture notes will be provided by the instructors.
Credit Requirements
Students will be evaluated based on performance: final exam (approximately 30%
of final grade), homework assignments (approximately 50% of final grade) and
computer/lab sessions (approximately 20% of final grade).
IU/USPAS
course: Physics 671
U.S.
Particle Accelerator School, a National Consortium Sited at Fermi National
Accelerator Laboratory
For Students
Course Presentations
· Monday, January 20th
|
Time |
|||
|
Start |
Stop |
Unit |
Topic |
|
9:00 |
9:15 |
1a |
Introduction of students and instructors,
overview and motivation, units and terminology |
|
9:15 |
9:45 |
1b |
Introduction to Vibration |
|
9:45 |
10:30 |
1c |
Free Vibration Theory and Analysis |
|
10:30 |
10:45 |
Morning break |
|
|
10:45 |
11:15 |
1d |
Introduction to signal processing |
|
11:15 |
11:45 |
1e |
High Energy Physics Machines |
|
11:45 |
13:15 |
Lunch break |
|
|
13:15 |
13:45 |
1f |
Instrumentation and seismic devices |
|
13:45 |
14:15 |
1g |
Labview Fundamentals I |
|
14:15 |
15:00 |
1h |
Labview Fundamentals II |
|
15:00 |
15:15 |
Afternoon break |
|
|
15:15 |
15:50 |
1i |
Introduction to Matlab |
|
15:50 |
16:00 |
1j |
Handout and explain HW Assignment #1 - Form
teams and chose type of machine (consider site and required infrastructure
that may be needed). |
|
16:00 |
16:30 |
1k |
Particle Beam Stability |
|
16:30 |
17:00 |
1L |
Matrix operations and Kroeneker
Product |
|
18:00 |
19:00 |
Dinner |
|
|
19:00 |
24:00 |
Lab/classroom open for HW problems and
questions |
|
· Tuesday, January 21st
|
Time |
|||
|
Start |
Stop |
Unit |
Topic |
|
9:00 |
9:30 |
2a |
Forced Vibration and Damping |
|
9:30 |
10:00 |
2b |
Data Analysis and Signal Processing with
Matlab |
|
10:00 |
10:30 |
2c |
Ground Motion, Technical, Cultural Noise
and Measurement |
|
10:30 |
10:45 |
Morning break |
|
|
10:45 |
11:00 |
Project (team) presentations - teams will
have formed initial parameters selected for Projects |
|
|
11:00 |
11:45 |
2d |
Site Selection (provide examples of HEP
sites) |
|
11:45 |
13:15 |
Lunch break |
|
|
13:15 |
13:45 |
2e |
Facility Infrastructure and Evaluation |
|
13:45 |
14:30 |
2f |
Measurement Lab Ia
- Intro to DAQ Equipment and Measurement |
|
14:30 |
15:00 |
2g |
Measurement Lab Ib
- Ground motion measurement (fast and slow) |
|
15:00 |
15:15 |
Afternoon break |
|
|
15:15 |
2h |
Computer Lab I using Matlab - Process
ground motion data from Measurement Lab Ia & Ib |
|
|
15:50 |
16:00 |
2i |
Handout and explain HW assignment #2 - Project:
A site will be randomly chosen for each group (since typically you would be
working at lab where a proposal for a new machine is given) and this machine
must fit within the framework of the existing site. Then the group will chose the site infrastructure
that would accommodate both the site and machine requirements after reviewing
the machine specifications and ground motion/ cultural noise data from
previous operational periods of site. |
|
16:00 |
16:30 |
2j |
Modal Analysis Theory |
|
16:30 |
17:00 |
2k |
RF Cavities Applied |
|
18:00 |
19:00 |
Dinner |
|
|
19:00 |
24:00 |
Lab/classroom open for HW problems and
questions |
|
· Wednesday, January 22nd
|
Time |
|||
|
Start |
Stop |
Unit |
Topic |
|
9:00 |
9:30 |
3a |
Simplifying Vibration Problems |
|
9:30 |
10:00 |
3b |
Engineering Approach and Practices |
|
10:00 |
10:30 |
3c |
Signal Processing Tools I: Fourier
Transforms, Relationship between Eigenvalue Decomposition and Fourier
Transforms, Relationship between Laplace and Fourier Transforms, Discrete
Fourier Transforms, FFT, Windowing |
|
10:30 |
10:45 |
Morning break |
|
|
10:45 |
11:05 |
Project (team) presentations |
|
|
11:05 |
11:45 |
3d |
Euler Beams – Exact Solutions and FEA |
|
11:45 |
13:15 |
Lunch break |
|
|
13:15 |
13:45 |
3e |
Girder Design and Component Support |
|
13:45 |
14:15 |
3f |
Operational Engineering Approach |
|
14:15 |
14:30 |
3g |
Handout and explain HW assignment #3 -
Project: Select and develop a girder
to support your sensitive accelerator component(s). |
|
14:30 |
15:00 |
3h |
Measurement Lab II - Beam Measurement |
|
15:00 |
15:15 |
Afternoon break |
|
|
15:15 |
16:00 |
3i |
Analysis Lab II - using MATLAB for Beam
Measurement Analysis and FEA comparison |
|
16:00 |
16:30 |
3j |
Case Study of CLIC Low Beta Quads |
|
16:30 |
17:00 |
3k |
Facility Development and NML Example |
|
18:00 |
19:00 |
Dinner |
|
|
19:00 |
24:00 |
Lab/classroom open for HW problems and
questions |
|
· Thursday, January 23rd
|
Time |
|||
|
Start |
Stop |
Unit |
Topic |
|
9:00 |
9:30 |
4a |
Shock Vs. Vibration |
|
9:30 |
10:00 |
4b |
Transport Theory and Practical Applications |
|
10:00 |
10:30 |
4c |
Advanced Topics - RF fast tuners |
|
10:30 |
10:45 |
Morning break |
|
|
10:45 |
11:05 |
Project (team) presentations |
|
|
11:05 |
11:45 |
4d |
Vibration and alignment |
|
11:45 |
13:15 |
4e |
Lunch break |
|
13:15 |
13:45 |
4f |
Cryomodule and Cavity Models |
|
13:45 |
14:15 |
4g |
Advanced Topics - Damping Applications |
|
14:15 |
14:30 |
4h |
(HW Project Assignment #4), Project Final
(when taking course for credit only):
How did your team meet the requirements for the machine, applying
needed infrastructure correctly? Was
the team able to apply this machine given the girder (support) and isolation
chosen? |
|
14:30 |
15:00 |
4i |
Measurement Lab III |
|
15:00 |
15:15 |
Afternoon break |
|
|
15:15 |
15:45 |
4j |
Computer Lab (with Matlab) |
|
15:45 |
16:30 |
4k |
Case Study - Low Beta Quads at CDF
(Fermilab) |
|
16:30 |
17:00 |
4L |
Signal Processing Tools II: Least Squares
Fits, Weighted Least Squares, Recursive Least Squares, Tikhonov
Regulation |
|
18:00 |
19:00 |
Dinner |
|
|
19:00 |
24:00 |
Lab/classroom open for HW problems and
questions |
|
· Friday, January 24th
|
Time |
|||
|
Start |
Stop |
Unit |
Topic |
|
9:00 |
9:30 |
5a |
Case Study of 3.9 and 1.3 GHz Transport |
|
9:30 |
10:00 |
5b |
Advanced Topics - Active Stabilization |
|
10:00 |
10:30 |
Final Project (team) presentations |
|
|
10:30 |
10:45 |
Morning break |
|
|
10:45 |
11:05 |
5c |
Case Study of A0 Photo-Injector at Fermilab |
|
11:05 |
11:30 |
5d |
Review and a Look Forward |
|
11:30 |
11:45 |
5e |
Wrap-up (questions, evaluations and
comments) |
Projects - Select and develop the following over assignments 1 through 4:
Project Assignment #1: Form teams and assign tasks to members (consider site, type of machine and required infrastructure).
Project Assignment #2: Specify testing and develop an enclosure suitable for the chosen machine.
Project Assignment #3: Define equipment needed for your enclosure and discuss layout.
Project Assignment #4: Select and develop a girder to support your sensitive accelerator component(s).
Project Final: (when taking course for credit only).
**Team Presentations are short 10-15 minute summaries by a team representative, providing Project status and results.
Course Text
M.
Hatch, "Vibration Simulation Using Matlab and ANSYS," 2001
Useful Publications
C.Collette et al., "Active
quadrupole stabilization for future linear particle colliders"
C.Collette et al., "Control
strategies for the nal focus of future linear particle collider"
M.W.
McGee et al., "MECHANICAL STABILITY STUDY OF TYPE IV CRYOMODULE (ILC
PROTOTYPE)"
M.W. McGee
and J.T. Volk, "Vibrational Stability of SRF Accelerator Test Facility at
Fermilab"
Matlab Exercises
Computer support: Nino Strothman, Fermilab
Computer Lab Schedule: http://uspas.fnal.gov/complab.shtml
Glossary of Accelerator Terms: http://www-bdnew.fnal.gov/operations/accgloss/gloss.html
Measurement Exercises
Last
modified: November 26, 2013