Modeling

The following sections are included:

• Introduction

• Modal approach

• Transverse vibration of strings

  • A uniform string with a constant tension

• Axial vibration of rods

• Torsional vibration of shafts

• Flexural vibration of beams

  • A simply-supported beam

  • A cantilevered beam

• Transverse vibration of thin plates

  • Simply-supported rectangular thin plates

  • Plates with more general boundary conditions

• Modeling of piezoelectric laminate beams

  • Dynamics of a piezoelectric laminate beam

  • Piezoelectric sensor

• Conclusions