By Tom Irvine


[1] ISO 2631-1, Evaluation of human exposure to whole-body vibration, Part 1: General requirements, International Organization for Standardization, 1997.

[2] T. Irvine, "Free Vibration of a Single-Degree-of-Freedom System, Revision B," Vibrationdata, 2005.

[3] T. Irvine, "Free Vibration of a Two-Degree-of-Freedom System Subjected to Initial Velocity and Displacement, Revision C," Vibrationdata, 2011.

[4] T. Irvine, "Longitudinal Natural Frequencies of Rods and Response to Initial Conditions, Revision D," Vibrationdata, 2010.

[5] M. Bai and W. Thatcher, High G Pyrotechnic Shock Simulation using Metal-to-Metal Impact, Washington DC: The Shock and Vibration Bulletin, Naval Research Laboratory, September 1979.

[6] R. Blevins, Formulas for Natural Frequency and Mode Shapes, Malabar, Florida: R. Krieger, 1979.

[7] T. Irvine, "Bending Frequencies of Beams, Rods and Pipes, Revision T," Vibrationdata, 2018.

[8] A. Leissa, Vibration of Plates, NASA SP-160, Washington D.C.: National Aeronautics and Space Administration, 1969.

[9] E. Baker, Structural Analysis of Shells, Malabar, Florida: Krieger, 1972.

[10] D. S. Steinberg, Vibration Analysis for Electronic Equipment, Third Edition, New York: Wiley, 2000.

[11] R. Marshall, L. Phan and M. Celebi, "Full-Scale Measurement of Building Response to Ambient Vibration and the Loma Prieta Earthquake," Fifth U.S. National Conference on Earthquake Engineering, Earthquake Awareness and Mitigation Across the Nation, vol. 11, 1994.

[12] M. Collins, Liftoff: The Story of America's Adventure in Space, New York City: Grove Press, 1989.

[13] M. Griffin, Handbook of Human Vibration, London: Academic Press, 1990.

[14] T. Irvine, "Modal Transient Analysis of a System Subjected to an Applied Force, Revision L," Vibrationdata, 2013.

[15] J. Emmerson, "“On Shaky Ground”," Letters, Smithsonian Air & Space, May 2001.

[16] T. Irvine, "The Generalized Coordinate Method for Discrete Systems, Revision F," Vibrationdata, 2012.

[17] D. O. Smallwood, "An Improved Recursive Formula for Calculating Shock Response Spectra," Shock and Vibration Bulletin, No. 51, May 1981.

[18] T. Irvine, " Two-Stage Isolation for Harmonic Base Excitation, Revision C," Vibrationdata, 2015.

[19] T. Irvine, "Derivation of the Filter Coefficients for the Ramp Invariant Method as Applied to Base Excitation of a Single-degree-of-Freedom System, Revision D," Vibrationdata, 2018.

[20] T. Irvine, "Modal Transient Vibration Response of a Cantilever Beam Subjected to Base Excitation," Vibrationdata, 2016.

[21] T. Scharton and D. Pankow, "Extreme Peaks in Random Vibration Testing," in Aerospace/JPL, Spacecraft and Launch Vehicle Dynamic Environments Workshop, Hawthorne, California, 2006.

[22] K. Ahlin, "Comparison of Test Specifications and Measured Field Data," Sound & Vibration, September 2006.

[23] H. Himelblau, A. Piersol and e. al, IES Handbook for Dynamic Data Acquisition and Analysis, Mount Prospect, Illinois, 1994.

[24] R. Randall, Frequency Analysis, 3rd edition, Bruel & Kjaer, 1987.

[25] F. Harris, Trigonometric Transforms, Technical Publication DSP-005, San Diego, CA: Scientific-Atlanta.

[26] MIL-STD-810E, Environmental Engineering Considerations and Laboratory Tests, United States Department of Defense, 1989.

[27] NAVMAT P-9492, Navy Manufacturing Screening Program, Washington D.C.: Department of the Navy, Naval Material Command, 1979.

[28] JEDEC JESD22-B111A, Board Level Drop Test Method of Components for Handheld Electronic Products Standard, JEDEC Solid State Technology Association, 2016.

[29] NASA-HDBK-7005, Dynamic Environmental Criteria, Washington DC: National Aeronautics and Space Administration, 2001.

[30] "Mechanical Shock Design and Verification Handbook, ECSS-E-HB-32-25A," European Cooperation for Space Standardization, Noordwijk, The Netherlands, July 2015.

[31] D. Albert and J. Orcutt, "Observations of Low-frequency Acoustic-to-seismic Coupling in the Summer and Winter," Journal of the Acoustical Society of America , vol. (86), July 1989.

[32] W. Kacena, M. McGrath and A. Rader, "Aerospace Systems Pyrotechnic Shock Data, Vol. VI., NASA CR 116406," Goddard Space Flight Center, Maryland, 1970.

[33] European Cooperation for Space Standardization, "Mechanical Shock Design and Verification Handbook," Noordwijk, The Netherlands, July 2015.

[34] R. Ferebee and T. Irvine, NASA/TM-2008-215253, An Alternative Method of Specifying Shock Test Criteria, 2008.

[35] T. Irvine, "Modal Transient Analysis of a Multi-degree-of-freedom System with Enforced Motion, Revision C," Vibrationdata, 2011.

[36] R. Chalmers and H. Gaberson, "Modal Velocity as a Criterion of Shock Severity," Shock and Vibration Bulletin, Naval Research Lab, December 1969.

[37] T. Irvine, "Shock and Vibration Stress as a Function of Velocity, Revision G," Vibrationdata, 2013.

[38] A. Piersol and T. Paez, Harris’ Shock and Vibration Handbook, 6th Edition; V. Bateman, Shock Testing Machines, Chapter 27, New York City: McGraw-Hill, 2010.

[39] H. Gaberson, "Shock Severity Estimation," Sound & Vibration, January 2012.

[40] SMC-TR-06-11 AEROSPACE REPORT NO. TR-2004(8583)-1 Rev. A, Test Requirements for Launch, Upper-Stage, and Space Vehicles, El Segundo, CA: Aerospace Corporation.

[41] R. Morse, Presentation at Spacecraft & Launch Vehicle Dynamics Environments Workshop Program, Aerospace Corp., El Segundo, CA, June 2000.

[42] S. Sterns and R. David, Signal Processing Algorithms in Fortran and C, New Jersey: , Prentice Hall, 1993.

[43] T. Lay and T. Wallace, Modern Global Seismology, New York: Academic Press, 1995.

[44] ECSS-E-HB-32-26A, Spacecraft Mechanical Loads Analysis Handbook, Noordwijk, The Netherlands: European Cooperation for Spacecraft Standardization (ECSS), 2013.

[45] NASA-STD-7002B, Payload Test Requirements, Washington D.C.: National Aeronautics and Space Administration, 2018.

[46] GSFC-STD-7000 REV A, General Environmental Verification Statndard (GEVS), Greenbelt, MD: NASA Goddard Space Flight Center, 2013.

[47] J. Koughan, The Collapse of the Tacoma Narrows Bridge, Evaluation of Competing Theories of its Demise, and the Effects of the Disaster of Succeeding Bridge Designs, The University of Texas at Austin, 1996.

[48] D. Hartog, Mechanical Vibrations, New York: McGraw-Hill, 1940.

[49] M. Levy and M. Salvadori, Why Buildings Fall Down, New York: Norton, 1992.

[50] H. Bachmann, Vibration Problems in Structures, Berlin: Birkhauser Verlag, 1995.

[51] K. Billah and R. Scanlan, "Resonance, Tacoma Narrows Bridge Failure, and Undergraduate Physics, Textbooks," American Journal of Physics, 1991.

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