Additional solution videos

Included here are video solutions for a number of example problems that have not yet been included in the course lecturebook.

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 A1.4 - Newton
Example A1.5 - 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