Lecture Notes

Lecture #1 Newton-Euler method and modeling

Lecture #2 Newton-Euler equations

Lecture #3 Calculating system parameters

Lecture #4 Energy/power method for equations of motion

Lecture #5 Lagrange's method (derivation)

Supplemental proof for Lagrange's method

Supplemental proof for Lagrange's method

Lecture #6 Lagrange's method (examples)

Lecture #7 Calculating generalized forces

Lecture #8 Linearizing the equations of motion (direct and Lagrange)

Lecture #9 Second and fourth order continuous equations of motion

Lecture #10 Free response of single degree of freedom systems

Lecture #11 Free response of single degree of freedom systems (Matlab)

Lecture #12 Free response of multiple degree of freedom systems (+Matlab)

Lecture #13 Modal coordinate transformations

Lecture #14 Eigenvalue problems for continuous systems

Case studies involving modes of vibration

Lecture #15 Finite element approximations for rods/beams

Eigenvalue solution for rod finite element and continuous models

Lecture #16 Forced response to step and harmonic excitations

Two methods for finding dynamic response

Lecture #17 Frequency response functions (SDOF)

Forced response of fan (modeling and simulation)

Lecture #18 Frequency response functions (MDOF)

Lecture #19 SDOF Applications

Lecture #20 Damping models

Lecture #21 Modal analysis for lumped parameter forced response

Lecture #22 Modal analysis for continuous system forced response

Demonstration of superposition of frequency response functions

Lecture #1 Newton-Euler method and modeling

Lecture #2 Newton-Euler equations

Lecture #3 Calculating system parameters

Lecture #4 Energy/power method for equations of motion

Lecture #5 Lagrange's method (derivation)

Supplemental proof for Lagrange's method

Supplemental proof for Lagrange's method

Lecture #6 Lagrange's method (examples)

Lecture #7 Calculating generalized forces

Lecture #8 Linearizing the equations of motion (direct and Lagrange)

Lecture #9 Second and fourth order continuous equations of motion

Lecture #10 Free response of single degree of freedom systems

Lecture #11 Free response of single degree of freedom systems (Matlab)

Lecture #12 Free response of multiple degree of freedom systems (+Matlab)

Lecture #13 Modal coordinate transformations

Lecture #14 Eigenvalue problems for continuous systems

Case studies involving modes of vibration

Lecture #15 Finite element approximations for rods/beams

Eigenvalue solution for rod finite element and continuous models

Lecture #16 Forced response to step and harmonic excitations

Two methods for finding dynamic response

Lecture #17 Frequency response functions (SDOF)

Forced response of fan (modeling and simulation)

Lecture #18 Frequency response functions (MDOF)

Lecture #19 SDOF Applications

Lecture #20 Damping models

Lecture #21 Modal analysis for lumped parameter forced response

Lecture #22 Modal analysis for continuous system forced response

Demonstration of superposition of frequency response functions

Professional Engineering Education

Welcome to ME 563 Mechanical Vibrations Fall 2010!

Welcome to ME 563 Mechanical Vibrations Fall 2010!