Vibrations of Plates and Shells

ABOUT THE COURSE:The course presents theory of vibrations of continuous systems such as rods, plates and shells. Many engineering applications like automobiles, aircraft structures, ship hulls, submarine hulls, pipes carrying water and all such applications where high speed moving parts are used, require knowledge of this topic as high vibrations will be a problem.INTENDED AUDIENCE:Masters and PhD studentsPREREQUISITES:Bachelors in engineering or science. A basic course in lumped vibrations is required.INDUSTRY SUPPORT:Aircraft industry, automobile industry, home appliances like washing machines.

Syllabus

Week 1: Curved shell geometry Week 2:Displacements, strains, stresses, kinetic and strain energy Week 3:General equations of motion for a curved shell using Hamilton’s law Week 4:General equations of motion specialized for commonly occurring geometries Week 5:Natural frequencies and mode shapes of rods, beams, plates and shells Week 6:Plate and shell equations using Newton’s laws Week 7:Approximate solutions using Rayleigh Ritz Method Week 8:Forced response of plates and shells using modal expansion Week 9:Green function for plates and shells Week 10:Combination of structures using receptance method Week 11:Hysteresis damping Week 12:ANSYS calculations and applied topics.