Embedded sensitivity analysis has proven to be a useful tool in finding optimum positions of structure reinforcements. However, it was not clear how sensitivities obtained from the embedded sensitivity method were related to the normal mode, or operational mode, associated to the frequency of interest. In this work, this relationship is studied based on a finite element of a slender sheet metal piece, with preponderant bending modes. It is shown that higher sensitivities always occur at nodes or antinodes of the vibrating system.
Issue Section:
Technical Briefs
1.
Yang
, C.
, Adams
, D. E.
, and Yoo
, S. W.
, 2003, “Diagnosing Vibration Problems With Embedded Sensitivity Functions
,” Sound Vib.
0038-1810, 37
, pp. 2
–7
.2.
Johnson
, T. J.
, Yang
, C.
, Adams
, D. E.
, and Ciray
, S.
, 2005, “Embedded Sensitivity Functions for Characterizing Structural Damage
,” Smart Mater. Struct.
0964-1726, 14
(1
), pp. 155
–169
.3.
Yang
, C.
, Adams
, D. E.
, Derriso
, M.
, and Gordon
, G.
, 2007, “Structural Damage Identification in a Mechanically Attached Metallic Panel Using Embedded Sensitivity Functions
,” J. Intell. Mater. Syst. Struct.
1045-389X, 19
(4
), pp. 475
–485
.4.
Reis
, D. B.
, Nicoletti
, R.
, 2010, “Positioning of Deadeners for Vibration Reduction in Vehicle Roof Using Embedded Sensitivity
,” ASME J. Vibr. Acoust.
0739-3717, 132
(2
), p. 021007
.Copyright © 2011
by American Society of Mechanical Engineers
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