Damaged Structural Vibration Analysis Using the Hamiltonian Matrix Perturbation Theory
2008 ◽
Vol 44-46
◽
pp. 91-96
Keyword(s):
This paper proposes a Hamiltonian perturbation approach for analyzing the dynamic characteristics of the damaged structure. Firstly, structural vibration governing equation is transformed to the general expression of state variables composed of displacement and momentum. On the basis of the conjugate symplectic orthogonal relation, the first-, and second- order perturbation expression of the damaged structural eigensolution are obtained. Finally, the numerical simulation and cantilever experiment prove the effectiveness of this approach.
2007 ◽
Vol 127
(6)
◽
pp. 064105
◽
Keyword(s):
2006 ◽
pp. 15-1-15-17
2019 ◽
Vol 107
◽
pp. 507-515
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2020 ◽
Vol 234
◽
pp. 111696
◽
1994 ◽
Vol 42
(4)
◽
pp. 683-686
2014 ◽
Vol 57
(8)
◽
pp. 1594-1601
◽
Keyword(s):
1992 ◽
Vol 160
◽
pp. 255-259
◽
2014 ◽
Vol 57
(6)
◽
pp. 1238-1248
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