Forced Oscillations of Non-Linear Two-Degree-of-Freedom Systems
1966 ◽
Vol 8
(3)
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pp. 252-258
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Keyword(s):
This paper shows how the Lighthill-Poincaré perturbation technique may be used to determine the transient response of ‘lightly coupled’ non-linear multi-degree-of-freedom oscillatory systems subject to arbitrary forcing functions. The results in general are complex but simplify in many important cases. A comparison is made between the analytical results and results obtained by a numerical integration of the equations on a computer. Good agreement is noted. The method fails under conditions of ‘internal resonance’ of the system.
2004 ◽
Vol 271
(1-2)
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pp. 464-468
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Keyword(s):
1976 ◽
Vol 42
(358)
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pp. 1692-1700
Keyword(s):
1977 ◽
Vol 43
(365)
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pp. 105-113
1964 ◽
Vol 277
(1368)
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pp. 92-106
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Keyword(s):
1986 ◽
Vol 52
(474)
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pp. 657-663
Keyword(s):
1989 ◽
Vol 55
(516)
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pp. 1857-1863
Keyword(s):
1999 ◽
Vol 20
(4)
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pp. 350-359
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1973 ◽
Vol 8
(2)
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pp. 161-168
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Keyword(s):
1968 ◽
Vol 10
(10)
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pp. 829-847
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