Dynamic modeling of mechanical components and systems; time domain and frequency domain analysis of linear time invariant systems; multi-degree of freedom systems; linearization of nonlinear systems. Prerequisite: TAM 212, MATH 285 and concurrent registration in ECE 205/206, and MATH 415. 3.5 undergraduate hours. Students may not receive credit for this course and any of the following: GE 320 and AAE 353.
1. Laplace transformation: properties, inverse transformation, solutions of differential equations by Laplace transform, transfer functions - poles and zeroes.
2. Modeling of dynamic systems: principles of conservation - mass, energy, fluid flow, heat transfer, mechanical/electromechanical systems, state(phase) space representation.
3. Dynamic system classification, linearization of nonlinear systems, dynamic simulation.
4. Time domain analysis of linear time invariant systems: first and second order systems, time constant, damping ratio and natural frequency, impulse response and convolution integral.
5. Frequency domain analysis: frequency response, application to vibration isolation, base excitation, measurement systems, Fourier series analysis.
6. Multi-degree-of-freedom systems: natural frequencies and normal modes, applications to beat generation and vibration absorbers.
1. First-Order Response: e.g. Thermal-Fluid System; Free response (time constant), step response, linearization
2. Second-Order Response: Spring-Mass-Damper System; Free response (natural frequency, damping ratio, logarithmic decrement) impulse response, step response (over-shoot, settling time), harmonic response (resonance), arbitrary input response
3. Coupled System Response: Interconnected Fluid Systems; Free and step response of interacting nonloading dynamic systems, superposition of outputs
4. Multi Degree-of-Freedom (MDOF) Response I: Lumped parameter system (spring-mass-damper); free response (natural frequencies, mode shapes), interacting loading system
5. MDOF Response II: Lumped parameter system (spring-mass-damper); Harmonic response (resonance), vibration absorber
6. MDOF Response III: Distributed parameter system (cantilever beam); Harmonic and impulse response, finite element modeling
7. System Identification: Frequency domain single-input-single-output system identification, Bode diagram, transfer function
EM: TAM 412 required instead.