ADVANCED METHODS IN STRUCTURAL DYNAMICS

EMA 745

Course Description

Emphasis is placed on techniques used to analyze aerospace structures. Variational principles, Hamilton's extended principle, Lagrange's equations, mathematical models for continuous systems, natural modes of vibrations, dynamic response using mode superposition, mode acceleration, residual flexibility, vibration analysis using finite element methods, advanced substructure representations, component mode synthesis, systems with rigid body modes for aeronautical and astronautical systems. Knowledge of vibrations [such asE M A 545orM E 440] strongly encouraged.

Prerequisties

Graduate/professional standing

Satisfies

This course does not satisfy any prerequisites.

Credits

Not Reported

Offered

Not Reported

Grade Point Average

3.83

3.52% from Historical

Completion Rate

100%

No change from Historical

A Rate

66.67%

17.95% from Historical

Class Size

-65.22% from Historical

Instructors (2025 Fall)

Sorted by ratings from Rate My Professors

Similar Courses

MECHANICAL VIBRATIONS

EMA 545

General theory of free, forced, and transient vibrations; vibration transmission, isolation, and measurement; normal modes and generalized coordinates; method of matrix equation formulation and solution. The application of theory and methods to the analysis, measurement and design of dynamic systems.

ADVANCED TOPICS IN FINITE ELEMENTS

EMA 705

Finite element methods for problems with linear and nonlinear media. Stress analysis, heat transfer, and fluid dynamics. Vibration and transient analysis. Weighted residual methods. Material and geometric nonlinearity. Nonlinear iteration methods. Instructor may also select additional material. Knowledge of finite element theory [such asE M A 605] strongly encouraged.

ADVANCED VIBRATIONS

ME 740

Vibration of mechanical components subject to dynamic loads; analytical, numerical and finite element methods applied to the analysis and design of mechanical systems consisting of cables, bars, shafts, beams, frames, rings, membranes, plates and shells. Knowledge of vibrations [such asM E 440] strongly encouraged.

INTERMEDIATE VIBRATIONS

ME 440

Harmonic motion; natural frequencies and vibration of damped and undamped single and multi-degree of freedom systems; modal analysis; influence coefficients; lumped-mass modeling; dynamic load factors; Rayleigh's method; flow-induced vibrations; shaft whirl; balancing; vibration absorbers and tuned mass dampers; finite element modeling.

THEORY AND APPLICATIONS IN ADVANCED DYNAMICS

EMA 742

Dynamical systems theory, advanced rigid body attitude dynamics, Lagrange's equations of motion, conservation laws, quasi-coordinates, Routh's method for ignorable coordinates, Hamilton's equations of motion, dynamic stability, Liapunov stability methods, angular momentum methods for systems of rigid bodies, modeling of rotating elastic systems, Kane's equations of motion, deterministic chaos. Knowledge of advanced three-dimensional dynamics [such asE M A 542orPHYSICS 311] strongly encouraged.