Page 126 - Finite Element Analysis with ANSYS Workbench

Chapter

7

Vibration Analysis

Vibration and dynamics analyses play important role in
structural and machine design. A stay-cable bridge and a computer
hard disk drive under certain conditions may vibrate with large
amplitude. Inappropriate design can cause structural failure and
machine breakdown. Study of vibration and dynamics behaviors is
thus important to new structural and machine design today.
Structures and machines are normally comprised of
truss, beam, plate and solid components. The finite element
method is a widely used tool to provide detailed solution behaviors
effectively. In this chapter, we start by reviewing a standard
vibrational problem that we have learnt in our undergraduate
courses. We then look at the differential equations that govern the
vibration behaviors of the truss, beam, plate and solid components.
Simple finite elements and their element equations are introduced