Included here are video solutions for a number of example problems that have not yet been included in the course lecturebook.
Please use the threaded discussion below for your questions regarding this material.
PROBLEM STATEMENTS
Chapter I
Chapter II
Chapter III
Chapter IV
Chapter V
Chapter I: Deriving EOMs
Example A1.1 -Newton
Example A1.2 – Newton
Example A1.3 – Newton
Example A1.6 – gen. coords.
Example A1.7 – Lagrange
Example A1.8 – Lagrange
Example A1.9 – Lagrange
Example A1.10 – Lagrange
Example A1.11 – linearized EOMs
Example A1.12 – flexibility matrix
Chapter II: Free response of discrete systems
Example A2.1 – SDOF
Example A2.2 – SDOF
Example A2.3 – SDOF
Example A2.4 – SDOF
Example A2.5 – SDOF
Example A2.6 – SDOF
Example A2.7 – SDOF
Example A2.8 – SDOF
Example A2.9 – SDOF
Example A2.10 – SDOF
Example A2.11 – SDOF
Example A2.12 – SDOF
Example A2.13 – SDOF
Example A2.14 – SDOF
Example A2.15 – SDOF
Example A2.16 – SDOF
Example A2.17 – 2 DOF
Example A2.18 – 3 DOF
Example A2.19 – rigid body mode
Example A2.20 – beating
Example A2.21 – proportionally damped
Chapter III: Free response of continuous systems
Example A3.1 – rod
Example A3.2 – 2nd order problems
Example A3.3 – shaft
Example A3.4 – bending beam
Chapter IV: Forced response
Example A4.1 – SDOF harmonic
Example A4.2 – SDOF harmonic
Example A4.3 – SDOF harmonic
Example A4.4 – SDOF harmonic
Example A4.5 – SDOF harmonic
Example A4.6 – SDOF harmonic
Example A4.7 – SDOF harmonic
Example A4.8 – SDOF harmonic
Example A4.9 – SDOF harmonic
Example A4.10 – SDOF harmonic
Example A4.11 – SDOF harmonic
Example A4.12 – SDOF harmonic
Example A4.13 – SDOF harmonic
Example A4.14 – 2 DOF harmonic
Example A4.15 – 3 DOF harmonic
Example A4.16 – Fourier series
Example A4.17 – convolution integral
Example A4.18 – convolution integral
Example A4.19 – modal uncoupling
Example A4.20 – modal uncoupling
Example A4.21 – modal uncoupling
Chapter V: Applications and approximate methods
Example A5.1 – vibration isolation
Example A5.2 – vibration absorption
Example A5.3 – approximate natural frequency analysis
Example A5.4 – shock response of multi-DOF system
Example A5.5 – shock response of continuous system