SG2123 Mathematical Methods of Mechanics, General Course 6.0 credits

Mekanikens matematiska metoder, allmän kurs

Basic mathematical methods together with mechanical applications to nonlinear oscillations and waves.

  • Education cycle

    Second cycle
  • Main field of study

    Mechanical Engineering
  • Grading scale

    A, B, C, D, E, FX, F

At present this course is not scheduled to be offered.

Intended learning outcomes

The course aims at an understanding of important phenomena and methods of modern mechanics, introduced in the contexts of oscillations-ODE and waves-PDE.

Course main content

Asymptotic series, local and uniform expansions. Strongly damped systems, boundary layer theory, WKB method. Periodic and transient motion, Lindstedt's method and multiple scales. Non-linear phenomena and theory of stability. Averaging approximations. Wave equation and Green functions. Approximations for short and long wave lengths. Non-linear waves, kinematic waves. Hyperbolic waves and 1D gas dynamics. Dispersive waves and the method of steepest descent.

Eligibility

Compulsory courses within the competence program Mechanics.

Literature

Karl-Erik Thylwe: Kompendium Mek. Mat. Met. Ordinära diff. ekv. med tillämp. svängningsteori.

Bengt Enflo: Math. Meth. Mech. Partial diff. eqs with application to wave theory.

Examination

  • INL1 - Hand in Task, 1.5, grading scale: P, F
  • TENA - Examination, 4.5, grading scale: A, B, C, D, E, FX, F

Offered by

SCI/Mechanics

Examiner

Version

Course syllabus valid from: Autumn 2007.
Examination information valid from: Autumn 2007.