Vibrations of Elastic Systems

This book presents new topics such as Inerters in spring-mass models and attached to beams; fluid loading on beams, plates, and shells; bio-inspired vibration isolation and absorption; coupled bending and torsion of beams; beams with functionally graded materials; as well as a new chapter on the Mindlin/Timoshenko plate theory: rectangular and circular. New applications and enhancements to the previous edition include moving mass on beams; thin beams with attached pendulum; transient response of beams with in-span attachments; and shells to model blood flow in arteries.

Chapter 1. Introduction. - Chapter 2. Spring-Mass Systems and Inerters. - Chapter 3. Thin Beams: Natural Frequencies and Mode Shapes. - Chapter 4. Thin Beams: Applications. - Chapter 5. Timoshenko Beams. - Chapter 6. Thin Plates. - Chapter 7. Mindlin-Reissner Plates. - Chapter 8. Cylindrical Shells.