ANALYTICAL METHODS FOR SOLVING STRONGLY NON-LINEAR DIFFERENTIAL EQUATIONS

✍ Scribed by L. Cveticanin

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 240 KB
• Volume: 214
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1998.1560

✦ Synopsis

In this paper various approximate analytical methods for obtaining solutions for strongly non-linear differential equations in a complex function are developed. The methods are based on the solution of the generating differential equation with a cubic complex term. The method of harmonic balance, the method of Krylov-Bogoliubov and the elliptic perturbation method are adopted for solving strongly non-linear differential equations in a complex function. Three examples are analyzed. They describe the vibrations of a rotor with non-linearity.