Probability Analysis of Precision Equipment Vibration Isolation System

Abstract:

The article deals with probability analysis for a vibration isolation system of sensitive equipment. Vibration isolation system is subjected to external base vibrations due to ambient oscillations (background noise). Considering Gauss distribution for ambient vibrations, we estimate the probability when the relative displacement of isolated mass will still be lower than the vibration criteria. The problem is solved in three-dimensional space, evolved by the system parameters damping and natural frequency. According to this probability distribution, the chance of exceeding vibration criteria for a vibration isolation system is evaluated and different vibration isolation systems are compared.

• Periodical: Applied Mechanics and Materials (Volume 467)
• Pages: 410-415
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.467.410
• Online since: December 2013
• Authors: Vladimir Smirnov*, Vladimir Mondrus
• Keywords: Gauss Distribution, Low-Frequency Vibration Isolation, PSD, Vibration-Sensitive Equipment

References

[1] Recommendation for vibration isolation of bearing structures for industry buildings, CNIISK im. V.A. Kycherenko. Moscow. (1988).

[2] Evolving Criteria for Research Facilities: Vibration, (with Hal Amick, Michael Gendreau, and Todd Busch), Proceedings of SPIE Conference 5933: Buildings for Nanoscale Research and Beyond, San Diego, CA, July 31-August 1, (2005).

DOI: 10.1117/12.617970

[3] Smirnov V.A. Kinematic vibration isolation of vibration-sensitive equipment. Industrial and civil engineering in modern world. Worldwide student's conference. (2011), МGSU, p.98 – 102.

[4] Svetlickij V.A. Mechanical systems random vibrations. 2nd edition. Moscow, Mashinostroenie, (1991).

[5] MatLab R2010b User's guide. MathWorks Corp, (2010).

[6] Cody, W. J. Rational Chebyshev Approximations for the Error Function, Math. Comp., (1969), p.631–638.

DOI: 10.1090/s0025-5718-1969-0247736-4

[7] K. Hasselmann, A statistical analysis of the generation of microseisms. Review of Geophysics, (1963), volume 1, issue 2, p.177–210.

[8] S. Kedar, M. Longuet-Higgins, F. W. N. Graham, R. Clayton, and C. Jones. The origin of deep ocean microseisms in the North Atlantic Ocean. Proceedings of the Royal Society of London, series A, (2008), p.1–35.

DOI: 10.1098/rspa.2007.0277

[9] Eugene I. Rivin. Vibration isolation of precision objects, Sound and vibration, July (2006).

[10] Mondrus V.L., Smirnov V.A. Dynamic analysis of vibration isolation system for precision equipment using MSC Software codes. Forum MSC Software (2011).

[11] Smirnov V.A. Review of active vibration isolation systems. Worldwide workshop conference Problems and development strategies for energy saving and noise reduction in buildings and housing services,. Moscow – Budva, (2011). p.222 – 225.

[12] Smirnov V.A. Nonlinear vibration isolator for kinematic vibration isolation of vibration-sensitive equipment. Sci-tech journal of Moscow State University of Civil Engineering. Issue 3, volume 1. –Moscow. (2011). p.107 – 112.