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Nov 27, 2024
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ME 4906 - Applied Numerical Methods4 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
Coordinator
Dr. Vincent Prantil
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