Dec 09, 2022  
2019-2020 Undergraduate Academic Catalog 
2019-2020 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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ME 4906 - Applied Numerical Methods

4 lecture hours 0 lab hours 4 credits
Course Description
This course is a capstone numerical methods experience meant to complement the dynamic systems sequence core concepts. The course will contain a focus on lumped modeling with specific reference to multi-degree of freedom eigenanalysis for linear systems as well as a strong focus on issues arising due to system nonlinearity and feasibility of linearization. (prereq: MA 383 , ME 230 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Solve fully nonlinear ordinary differential equations/initial value problems (IVP)
  • Apply principles from linear systems to fully nonlinear systems
  • Postulate and solve eigenvalue/eigenvector problems with applications to modal analysis and buckling

Prerequisites by Topic
  • Numerical integration of ordinary differential equations
  • Linear algebra

Course Topics
  • Differential equations
  • Linear algebra
  • System similitude
  • Review of system dynamics
  • Lagrange’s equations
  • Constraints vis Lagrange multipliers
  • Dynamic system simulation ODE’s
  • Eigen analysis
  • Lagrange multipliers

Dr. Vincent Prantil

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