Module Leader

Dr Connor Myant


Dr Mazdak Ghajari
m.ghajari@imperial.ac.uk

This module is a progression from Solid Mechanics 1, and develops key foundational principles for later modules, such as Robotics and FEA. The module focuses on Kinematics, and Dynamics of rigid bodies, Vibrations and Stress Analysis is also included.               

 

Learning Outcomes

On completion of this module, students will be better able to:

  •   Manipulate algebraic expressions of statics and dynamics problems.
  •   Apply methods of mathematical analysis.
  •   Apply a range of numerical and computational methods.
  •   Construct mathematical models that capture the key features of a mechanics problem.
  •   Interpret mathematical results and their implications in the mechanics context.
  •   Represent mechanics concepts in sketches and visual forms.               

 

Description of Content

Planar Kinematics:
  relative velocity (2D)
  relative acceleration (2D)
  spontaneous centres
  moving reference systems
3D kinematics:
  relative velocity (3D)
  relative acceleration (3D)
Dynamics:
  equations of motion
  numerical solutions
  parallel axis theorem
Vibrations:
  simple harmonic motion
  series and parallel springs
  free vibrations
  damped vibrations
Stress Analysis:
  Stress states
  2D stress transformation
  tensor matrices
  Principle stress
  inplane shear stress
Strain Analysis:
  2D strain transformation
  principle strains
  inplane shear strains
  mode of failure