MAS313 Advanced Dynamics

After completing MAS313 the student will have:

Competence-Students will gain fundamental knowledge:

• A fundamental understanding of second order differential equations.
• A fundamental understanding of modal analysis methods: eigenvalues and eigenvectors.
• A fundamental understanding of the calculus of variations.
• A fundamental understanding of computer methods in engineering.
• An understanding of the theory and function of gears (planar, bevel, differntial)
• An understanding of the theory and function of links (pistons, quick-return)
• An understanding of the theory and function of collisions of bodies and particles
• An understanding of the theory and function of celestial dynamics (escape velocity, planets, satellites)

Skills-With the aforementioned foundation, student will acquire the following skills:

• An ability to solve second order differential equations for vibrations of mechanical devices.
• An ability to obtain approximate solutions: modal analysis of mechanical devices.
• An ability to formulate the Lagrangian for Hamilton`s Principle in dynamics.
• An ability to code the solutions of the equations of motion of dynamical systems.

Knowledge-Using the aforementioned skills, student will gain experience with mechanical systems

• Experience with the basic concepts of advanced dynamics of linked robotics and free bodies.
• Experience with the mechanics of inertial guidance systems and control.
• Experience with contact constraints.
• Experience with aspects of advanced mathematics and its role in analyzing mechanical engineering mechanisms: rolling without slipping, gears, linked systems.
• Experience with the role of computers in solving advanced equations of motion for various engineering mechanism.
• Experience to undertake studies in an appropriate Master`s Degree program.

4 hour written exam.

Grading scale is A-F where F is fail.

Drawing and writing materials

Basic calculator according to the regulations at Western Norway University of Applied Sciences.

Murakami, H., Impelluso, T., Dynamics with Moving Frames. Publication pending via Pearson.

Additional research papers in dynamics.