skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Vibration signature analysis of AFM images

Abstract

Vibration signature analysis has been commonly used for the machine condition monitoring and the control of errors. However, it has been rarely employed for the analysis of the precision instruments such as an atomic force microscope (AFM). In this work, an AFM was used to collect vibration data from a sample positioning stage under different suspension and support conditions. Certain structural characteristics of the sample positioning stage show up as a result of the vibration signature analysis of the surface height images measured using an AFM. It is important to understand these vibration characteristics in order to reduce vibrational uncertainty, improve the damping and structural design, and to eliminate the imaging imperfections. The choice of method applied for vibration analysis may affect the results. Two methods, the data dependent systems (DDS) analysis and the Welch`s periodogram averaging method were investigated for application to this problem. Both techniques provide smooth spectrum plots from the data. Welch`s periodogram provides a coarse resolution as limited by the number of samples and requires a choice of window to be decided subjectively by the user. The DDS analysis provides sharper spectral peaks at a much higher resolution and a much lower noise floor. A decompositionmore » of the signal variance in terms of the frequencies is provided as well. The technique is based on an objective model adequacy criterion.« less

Authors:
;  [1];  [2]
  1. National Institute of Standards and Technology, Gaithersburg, MD (United States)
  2. Michigan Technological Univ., Houghton, MI (United States)
Publication Date:
OSTI Identifier:
244175
Report Number(s):
CONF-951056-
TRN: 96:000930-0003
Resource Type:
Book
Resource Relation:
Conference: 10. annual meeting of the American Society for Precision Engineering, Austin, TX (United States), 15-20 Oct 1995; Other Information: PBD: 1995; Related Information: Is Part Of 10th annual meeting of the American Society for Prevision Engineering; PB: 480 p.
Country of Publication:
United States
Language:
English
Subject:
44 INSTRUMENTATION, INCLUDING NUCLEAR AND PARTICLE DETECTORS; MECHANICAL VIBRATIONS; SPECTRA; DIAGRAMS; EXPERIMENTAL DATA

Citation Formats

Joshi, G.A., Fu, J., and Pandit, S.M. Vibration signature analysis of AFM images. United States: N. p., 1995. Web.
Joshi, G.A., Fu, J., & Pandit, S.M. Vibration signature analysis of AFM images. United States.
Joshi, G.A., Fu, J., and Pandit, S.M. 1995. "Vibration signature analysis of AFM images". United States. doi:.
@article{osti_244175,
title = {Vibration signature analysis of AFM images},
author = {Joshi, G.A. and Fu, J. and Pandit, S.M.},
abstractNote = {Vibration signature analysis has been commonly used for the machine condition monitoring and the control of errors. However, it has been rarely employed for the analysis of the precision instruments such as an atomic force microscope (AFM). In this work, an AFM was used to collect vibration data from a sample positioning stage under different suspension and support conditions. Certain structural characteristics of the sample positioning stage show up as a result of the vibration signature analysis of the surface height images measured using an AFM. It is important to understand these vibration characteristics in order to reduce vibrational uncertainty, improve the damping and structural design, and to eliminate the imaging imperfections. The choice of method applied for vibration analysis may affect the results. Two methods, the data dependent systems (DDS) analysis and the Welch`s periodogram averaging method were investigated for application to this problem. Both techniques provide smooth spectrum plots from the data. Welch`s periodogram provides a coarse resolution as limited by the number of samples and requires a choice of window to be decided subjectively by the user. The DDS analysis provides sharper spectral peaks at a much higher resolution and a much lower noise floor. A decomposition of the signal variance in terms of the frequencies is provided as well. The technique is based on an objective model adequacy criterion.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1995,
month =
}

Book:
Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this book.

Save / Share:
  • In the case of an inline six cylinder diesel engine, first bending mode, second bending mode, bulge mode and panel modes of the cylinder block are related closely to the engine noise. The analysis of the bulge mode is carried out and the results are reported. The behavior of the engine block with the engine ignited and run, was measured using double pulsed laser holography with particular attention to the characteristics of exciting force and engine structure. In addition, oil pressure was applied to the combustion chamber of the engine with the crankshaft locked to compare the deflection characteristics withmore » that of a running engine.« less
  • The present paper discusses the assumption of displacement fields used in the vibration analysis of FRP laminated thick plates. For this purpose, the strain and kinetic energies of a FRP cross-ply laminated plate are evaluated analytically based on the three-dimensional theory of elasticity, and the displacements of the rectangular plate, which are simply-supported at all edges, are expanded into the polynomial forms with respect to thickness coordinate. A frequency equation is formulated by using the energy method minimizing the Lagrange function. In the numerical calculations, natural frequencies are obtained for the plates with various stacking sequence and the thickness ratios,more » and the validity of the assumption of displacement fields and the range of applicability of the various plate theories (e.g. the Classical Plate Theory (CPT), the First-Order Shear Deformation Theory (FSDT) and the Higher-Order Shear Deformation Theory (HSDT)), which are widely used in the vibration analysis of FRP laminated plates, to the laminated thick plates are discussed by comparing the present results with the CPT and the FSDT solutions.« less
  • An exact solution procedure is presented for solving free vibrations of a rotating thin laminated composite shell of revolution having meridionally constant curvature. Based on the classical lamination theory, equations of motion and boundary conditions are obtained from the stationally conditions of the Lagrangian. The equations of motion are solved exactly by using a power series expansion for symmetrically laminated, cross-ply shells. Frequencies and mode shapes of the shells having both ends clamped and both ends freely supported are presented showing their variations with rotating angular velocity, number of laminae and other parameters.
  • Pressure vessels and piping structures made of composite materials are being increasingly used, primarily because of the large values of specific strength and stiffness which may be obtained in comparison with conventional materials, such as metals. The composite structure may be considered as an assemblage of plate and shell components, likewise in conventional metal structures, and the vibration of composite plates and shells constitutes an important area in applied mechanics. Here, a method of analysis is presented for solving the free vibration problem of a rectangular parallelepiped. The parallelepiped is made of an undirectionally reinforced fiber composite, which is modeledmore » to have rectangular orthotropy. The method is based on the Ritz method, and accommodates arbitrary boundary conditions on the six faces by introducing the boundary indices into the displacement functions. Numerical results are given for the first several frequencies of isotropic and orthotropic parallelepipeds, including the cube, and are compared to the existing results by other theories.« less