Hello All,
I am sorry it took me so long to get back to this question but I was looking in my "archive" (basement, complete with spiders) to find a paper that was written by Walter W. Von Nimitz a bunch of years ago. The paper has a chart that plots amplitude against frequency and it has curves for "danger", "correction", "marginal", "design", and "average threshold of perception". I found the paper but it is just barely readable.
So, instead I did a little research and I came up with a bunch of very good papers that are available at this address:
I think the paper that you will be most interested in is #72 but here are some of the other papers that are available (in PDF format so you will need Acrobat):
17. Escape Piping Vibrations While Designing, J. C. Wachel/C. L. Bates, Hydrocarbon Processing, October, 1976, pp. 152-166.
20. Field Investigation of Piping Systems for Vibration-Induced Stress and Failures, J. C. Wachel, Pressure Vessel and Piping Conference, ASME Bound Volume #H00219, June 27-July 2, 1982.
27. Piping Vibration and Stress, J. C. Wachel, Vibration Institute, Machinery Vibration Monitoring and Analysis Seminar, New Orleans, April 1981, pp. 1-20.
29. Pulsations in Centrifugal Pump and Piping Systems, C. R. Sparks and J. C. Wachel, Hydrocarbon Processing, July 1977, pp. 183-189.
37. Techniques for Controlling Piping Vibration and Failures, J. C. Wachel/C. L. Bates, ASME Paper 76-PET-18, 1976.
59. Vibration Troubleshooting of Existing Piping Systems, J. C. Wachel/D. R. Smith, July 1991.
72. Displacement Method for Determining Acceptable Piping Vibration Amplitudes, J. C. Wachel, 1995 ASME/JSME Pressure Vessels & Piping Conference, Honolulu, HI, July 1995.
Best regards, John.