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Virginia Tech

ESM-5414: Nonlinear Systems

Description: Dynamics of conservative and nonconservative systems; phase planes; local and global stability; damping mechanisms; self-excited oscillators. Forced oscillations of one-degree-of-freedom systems; primary, secondary, and multiple resonances; period-multiplying bifurcations; strange attractors; chaos. Parametric excitations; Floquet theory; influence of damping and nonlinearity. Multi-degree-of-freedom systems; concepts of internal and external resonances; Hopf bifurcation. Applications to continuous systems; strings, beams, plates, and shells.

Pathways: N/A

Course Hours: 3 credits

Prerequisites: ESM-5304 and ESM-5754

Required By: N/A

Corequisites: N/A

Crosslist: MATH-5254, ME-5414

Repeatability: N/A

Sections Taught: 4

Average GPA: 3.61 (A-)

Strict A Rate (No A-) : 55.07%

Average Withdrawal Rate: 0.00%

Ali H Nayfeh200967.4%32.6%0.0%0.0%0.0%0.0%3.613
Nicole T Abaid201372.7%27.3%0.0%0.0%0.0%0.0%3.621

Grade Distribution Over Time