Decoupling in non-linear systems with two degrees of freedom

✍ Scribed by H.R. Srirangarajan; B.V. Dasarathy

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 267 KB
• Volume: 38
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(75)80015-0

✦ Synopsis

The problem of decoupling a class of non-linear two degrees of freedom systems is studied. The coupled non-linear differential equations of motion of the system are shown to be equivalent to a pair of uncoupled equations. This equivalence is established through transformation techniques involving the transformation of both the dependent and independent variables. The sufficient conditions on the form of the non-linearity, for the case wherein the transformed equations are linear, are presented. Several particular cases of interest are also illustrated.