2000
DOI: 10.1006/jsvi.1999.2653
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Use of Non-Degeneracy in Nominally Axisymmetric Structures for Fault Detection With Application to Cylindrical Geometries

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Cited by 15 publications
(14 citation statements)
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“…They derived an expression for the damage index that requires only the radial component of shell vibration. Royston et al (2000) proposed a flaw detection method by using the slit-mode phenomena that may occur when the degenerate vibratory modes of the axisymmetric structure become non-generate due to the flaws. Ip and Tse (2002) presented a feasibility study on locating damage in circular cylindrical fiber-reinforced composite shells based on the frequency sensitivities and mode shape information at specific locations.…”
Section: Introductionmentioning
confidence: 99%
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“…They derived an expression for the damage index that requires only the radial component of shell vibration. Royston et al (2000) proposed a flaw detection method by using the slit-mode phenomena that may occur when the degenerate vibratory modes of the axisymmetric structure become non-generate due to the flaws. Ip and Tse (2002) presented a feasibility study on locating damage in circular cylindrical fiber-reinforced composite shells based on the frequency sensitivities and mode shape information at specific locations.…”
Section: Introductionmentioning
confidence: 99%
“…The SDIMs for cylindrical shells have been introduced by some researchers (e.g., Srinivasan and Kot, 1998;Royston et al, 2000;Ip and Tse, 2002;Kim et al, 2004). Srinivasan and Kot (1998) proposed to use a damage index method for locating damage in circular cylindrical shells, which is basically based on the damage-induced change in the modal strain energy.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, it is simplified as a circular ring because the fundamental vibration mode of a cylindrical shell is the ring like mode. The governing equations (Royston et al, 2000;Werner, 2005) are written as: Then, the two groups, radial and circumferential of natural frequencies (Royston et al, 2000;Soedel, 2005) can be derived as follows:…”
Section: Simplified Model and Theorymentioning
confidence: 99%
“…However, if the cylindrical shell is not axisymmetric, the split mode phenomenon happens. That is, the two modes in one pair which initially have identical natural frequencies split and the two identical frequencies become slightly different (Royston et al, 2000). Therefore, when the ±nth natural frequencies are obtained, the wall thickness can be evaluated according to Eq.…”
Section: Simplified Model and Theorymentioning
confidence: 99%
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