A superposition of exponential–trigonometric functions: generalized solution for several forced vibrations problems of a one-degree-of-freedom system

A general solution procedure for the for

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