A perturbation–incremental method for strongly non-linear non-autonomous oscillators
✍ Scribed by K.W. Chung; C.L. Chan; Z. Xu; J. Xu
- Book ID
- 108146910
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 291 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0020-7462
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📜 SIMILAR VOLUMES
An elliptic perturbation method is presented for calculating periodic solutions of strongly non-linear oscillators of the form x¨+ c1x + c3x 3 = ef(x, x˙), in which the Jacobian elliptic functions are employed instead of usual circular functions in the conventional perturbation procedure. Three type
A non-linear scales method is presented for the analysis of strongly non-linear oscillators of the form Y: + g(x) = ef (x, d:), where g(x) is an arbitrary non-linear function of the displacement x. We assumed that x(t,~) x0(~,,7) + m-, m T~ = ~,~=~ e'~xn(~) + O(e'~), where d~/dt = ~,~=1 e'~R~(~) , d
The semi-stable limit cycle and bifurcation of strongly non-linear oscillators of the form xK #g(x)" f (x, xR , )xR is studied by the perturbation-incremental method. Firstly, the ordinary di!erential equation is transformed into an integral equation by a non-linear time transformation, then the ini