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Principal parametric resonances of a general continuous system with cubic nonlinearities

✍ Scribed by B. Burak Özhan; Mehmet Pakdemirli

Book ID
119186891
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
681 KB
Volume
219
Category
Article
ISSN
0096-3003

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A general solution procedure for the forced vibrations of a system with cubic nonlinearities: Three-to-one internal resonances with external excitation
✍ B. Burak Özhan; Mehmet Pakdemirli 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 475 KB

A general vibrational model of a continuous system with arbitrary linear and cubic operators is considered. Approximate analytical solutions are found using the method of multiple scales. The primary resonances of the external excitation and three-to-one internal resonances between two arbitrary nat