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Damping, Isolation & Vibration Absorbers Page

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Titan II Missile Silo, Launch Control Room
The control room is mounted underground via huge isolation springs. A typical spring is shown in the background. The purpose is to isolate the control room from mechanical shock and vibration in the event of a nuclear strike above the launch site. The springs allow 18 inches of relative displacement. The control room could thus carry out a retaliatory strike, as ordered by the U.S. president.
This site is located south of Tucson, Arizona. It has been decommissioned and is now a museum.

 

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Sincerely, Tom Irvine
Email: tom@vibrationdata.com
 

Tutorials

 Damping
Damping Properties of Materials: damping.pdf
This tutorial gives the loss factors for aluminum, steel, copper, and other engineering materials.

Damping Cross-Reference: dcross.pdf
Recommendations for Revision of Seismic Damping Values in Regulatory Guide 1.61: seismic_damping.pdf

Damping Mechanisms for Microgravity Vibration Isolation: mvi.pdf

The Half Power Bandwidth Method for Damping Calculation: half_power_bandwidth.pdf

Damping Loss Factors for Damping Materials for Continuous Structures: DampLF.pdf
By P. H. Mathuria and U.P. Kulkarni

NASA, Measurement of Damping of Composite Materials for Turbomachinery Applications: tm207685.pdf

Free Vibration with Coulomb Damping (Dry Friction Damping): coulomb.pdf
Matlab script: dry.m

H. Cole, On-Line Failure Detection and Damping Measurement of Aerospace Structures by Random Decrement Signatures, NASA CR-2205
nasa_cr2205_1.doc
nasa_cr2205_2.doc
nasa_cr2205_3.doc

Alternate: cr2205.pdf

C. Johnson, Design and Application of Vibration Suppression: vibration_suppression_banner.pdf

Hubert & Swanson, Surface Tension Lockup in the IMAGE Nutation Damper - Anomaly and Recovery: 2001_hubert_swanson.pdf

Investigation of the Structural Damping of a Full-Scale Airplane Wing, by Dwight O. Fearnow, NACA 2594: aircraft_wing_damping.pdf

Damping in Aerospace Structures and Components: damping_aerospace.pdf

Damping Coefficient Matrix from Modal Damping for All Modes: damping_matrix.pdf

Building & Bridge Damping

Kijewski and Kareem, Analysis of full-scale data from a tall building in Boston: damping estimates:
boston.pdf

Yukio Tamura, Damping in Buildings, Tokyo Polytechnic University, The 21st Century Center of Excellence Program: damping_buildings_lecture.pdf

Ji Young Kim, Dae Young Kim, and Sang Dae Kim, Evaluations of the dynamic properties for a residential tall building in Korea:  Korea_building_damping.pdf

The London Heathrow Airport new control tower:  Heathrow_tower.pdf

Damping in Tall Buildings and Towers: tall_building_damping.pdf

D. Taylor: Damper Retrofit of the London Millennium Footbridge- A Case Study in Biodynamic Design: dt_damper.pdf

Tuned Mass & Liquid Dampers
Structures Incorporating Tuned Mass Dampers: TMD_Table.pdf
Tuned Liquid Damper:
TLD_chapter1.pdf TLD_chapter5.pdf
TLD_chapter2.pdf TLD_chapter6.pdf
TLD_chapter3.pdf TLD_chapter7.pdf
TLD_chapter4.pdf TLD_chapter8.pdf

Isolation Tutorials with Matlab Scripts

Description

Tutorial

Script 

Common Support Functions used by the Following Scripts
-
iso_frf.m
iso_apply_sine.m
iso_apply_random.m
iso_apply_rb_accel.m
iso_apply_hs.m
iso_apply_arbit.m
iso_apply_initial.m

real_mult_intlog.m
srs_coefficients.m
Vibration Analysis of an Isolated Mass with Six-degrees-of-freedom & Four Isolators
six_dof_isolated.pdf

Data file used in example for abitrary base input:
pyro_shock_sample.txt

six_dof_iso.m 


Vibration Analysis of a Mass with Six-degrees-of-freedom & Six Isolators

 six_isolators.pdf

 six_isolators.m


Vibration Analysis of a Mass with Six-degrees-of-freedom and with an Arbitrary Number of Isolators

isolators_arbitrary.pdf

arbitrary_isolators.m

Two-Stage Isolation for Harmonic Base Excitation:

two_stage_isolation.pdf

two_dof_frf.m

Supporting functions:

two_dof_frf_apply_sine.m

two_dof_frf_apply_random.m

two_dof_frf_apply_rba.m

two_dof_frf_apply_initial.m

two_dof_frf_apply_hs.m

Isolation, Other
Avionics Isolation Design Guidelines: avionics_iso.pdf

Vibration Analysis of an Isolated Mass with Three-degrees-of-freedom. This includes a method for vertically offset isolators: isolators_threedof.pdf
Notes on Shock Testing of Isolated Avionics Components: isolator_test_notes.pdf
Notes on Finite Element Modeling of Isolated Components: FE_isolated.pdf
Machine Mounting for Vibration Attenuation:  machine.pdf

J.S. Lamancusa, Vibration Isolation: vibiso12.pdf
Bronowicki & Innis, A Family of Full Spacecraft-to-Payload Isolators: 05FW_Bronowicki.pdf
P. Masterson, The Basics of Vibration Isolation Using Elastomeric Materials: vib_iso.pdf
Spring Stiffness and Surge
Foam Linear Spring Stiffness: linear_spring_stiffness.pdf
Spring Stiffness Table: stiff.pdf  

Spring Surge: spring_surge.pdf

Matlab Script: spring_surge.m

Structural Joint Damping

The Damping Characteristics of Bolted and Welded Joints: bolted_joint_damping.pdf

Smallwood, Gregory, Coleman, Damping Investigations of Simplified Frictional Shear Joint: smallwood_1.pdf

Vibration Absorbers
Livanos, Raffan, and Coltrona, Active Control of Vibration in Tall Buildings VibrationTallBuildings.pdf

Wheel and Rail Vibration Absorber Testing and Demonstration: wheel.pdf
Vibration Absorber: vibration_absorber.pdf
Matlab scripts:
vibration_absorber_trans.m
mratio.m

 

Software Description
Executable
Source
Damping value cross-reference includes loss factor, reverberation time, and other parameters.
damping.exe

-

EAR Grommets, B-434/R-444, B-435/R-445
EAR.exe
EAR.cpp
This program performs a curve-fit on an acceleration spectral function resulting from an applied force.

The main purpose is to determine the damping ratio.

The spectral function may be:
1. acceleration PSD
2. acceleration Fourier magnitude
3. transfer function magnitude (accel/force)
 
 bandwidth_damp.exe
 
bandwidth_damp.cpp
Calculate relative displacement from absolute acceleration and vice versa.
relative_displacement.exe
relative_displacement.cpp
Calculate isolator static deflection or quasi-static deflection due to rigid-body acceleration.
isolator_static_deflection.exe
isolator_static_deflection.cpp

 

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