Academic Catalog

ME587 PERTURBATION METHODS IN ENGINEERING

Course Code: 5690587
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mechanical Engineering
Language of Instruction: English
Level of Study: Graduate
Course Coordinator: Prof.Dr. ZAFER DURSUNKAYA
Offered Semester: Fall and Spring Semesters.

Course Content

Asymptotic sequences and series. Integrals, Laplece's method, method of stationary phase, method of steepest descent. Duffing equations, method of renormalization, method of rescaling, method of multiple scales. Vibration problems, linear oscillator, primary and subharmonic resonance. Mathieu equation. Boundary layers in fluid flow, matched asymptotic expansions. WKB approximation. (R/F)