ME 340 - Dynamics of Mechanical Systems
Last offered Spring 2022
Detailed Course Description
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. Mathematical preliminaries. Complex numbers; partial fractions; eigenvalues and eigenvectors; MATLAB computations and graphing of real- and complex-valued functions.
2. First-order systems. Exponentially decaying signals; free and step responses of linear, time-invariant first-order systems; time constant; system identification; physical experiments with a leaking tank and a hydraulic motor.
3. Block diagrams and simulation. Time- and frequency-domain block diagrams with integrators amplifiers; Laplace transforms and transfer functions; SIMULINK realizations; numerical experiments with a mechanical suspension, a nonlinear pendulum, and a quarter-car model.
4. Second-order systems. Exponentially decaying harmonic signals; free, step, and unit impulse responses of linear, second-order time-invariant systems; natural frequency and damping ratio; under-, critically-, and over-damped systems; system identification; physical experiments with a single-degree-of-freedom spring-mass-damper system.
5. Mode shapes and resonance. Natural frequencies and modal oscillations; harmonic excitation; steady-state response; physical experiments with a two-degree-of-freedom spring-mass-damper system.
6. Continuous systems. Boundary-value problems for cantilevered and clamped-clamped beams; natural frequencies and modal oscillations; modal decompositions; harmonic excitation and resonance; physical experiments with a cantilevered beam; simulations with a finite-element model.
7. Nonlinear systems. Lagrange’s equations; equilibrium configurations; linearization and stability; simulation and physical experiments with a double pendulum.
EM: TAM 412 required instead.
|Dynamics of Mechanical Systems||AB1||37359||LAB||0||1200 - 1350||M||3073 Electrical & Computer Eng Bldg|
|Dynamics of Mechanical Systems||AB2||37361||LAB||0||1600 - 1750||M||3073 Electrical & Computer Eng Bldg|
|Dynamics of Mechanical Systems||AB3||37362||LAB||0||1200 - 1350||W||3073 Electrical & Computer Eng Bldg|
|Dynamics of Mechanical Systems||AB4||37364||LAB||0||1000 - 1150||T||3073 Electrical & Computer Eng Bldg|
|Dynamics of Mechanical Systems||AB5||37365||LAB||0||1300 - 1450||T||3073 Electrical & Computer Eng Bldg|
|Dynamics of Mechanical Systems||AB6||38941||LAB||0||1500 - 1650||T||3073 Electrical & Computer Eng Bldg|
|Dynamics of Mechanical Systems||AB7||45528||LAB||0||1600 - 1750||W||3073 Electrical & Computer Eng Bldg|
|Dynamics of Mechanical Systems||AB8||60960||LAB||0||1000 - 1150||R||3073 Electrical & Computer Eng Bldg|
|Dynamics of Mechanical Systems||AB9||61593||LAB||0||1300 - 1450||R||3073 Electrical & Computer Eng Bldg|
|Dynamics of Mechanical Systems||ABA||61594||LAB||0||1500 - 1650||R||3073 Electrical & Computer Eng Bldg|
|Dynamics of Mechanical Systems||AL1||37356||LEC||3.5||1400 - 1450||M W F||4039 Campus Instructional Facility||Chenhui Shao|
|Dynamics of Mechanical Systems||AL2||37357||LEC||3.5||1400 - 1450||M W F||3025 Campus Instructional Facility||Alexander F Vakakis|