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APPLICATION OF DYNAMIC SYSTEM IDENTIFICATION TO
TIMBER BEAMS. I
By S. T. Peterson,1 D. I. McLean,2 M. D. Symans,3 D. G. Pollock,4 W. F. Cofer,5
R. N. Emerson,6 and K. J. Fridley7
ABSTRACT: In this first part of a two-part paper, development of a method of dynamic system identification
for timber beams is presented with an analytical verification of the method using a finite-element model. A
method of global nondestructive evaluation for identifying local damage and decay in timber beams is investi-
gated in this paper. Experimental modal analysis is used in conjunction with a previously developed damage
localization algorithm. The damage localization algorithm utilizes changes in modal strain energy between the
mode shapes of a calibrated model, representing the undamaged state of the beam of interest, and the experi-
mentally obtained mode shapes for a timber beam. Analytical evaluations were performed to demonstrate and
verify the use of this method of global nondestructive evaluation for the localization of damage or decay in
timber beams. In a companion paper, experimental laboratory tests are presented that verify the use of dynamic
system identification to locate damage within timber beams.
INTRODUCTION in its modes of vibration and the response is measured at sev-
eral points within the structure. Impulse excitation was se-
Nondestructive evaluation (NDE) of wood is the science
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