Vibration of Periodic Structures

Vibration of Periodic Structures: Applications to Structural Dynamics, Acoustics and Supersonic Panel Flutter introduces the fundamentals of the periodic structure theory by considering the simplest model, wave propagation in an infinitely long periodic spring-mass system. It then shows how the knowledge of the stop and pass bands can then be utilized to develop a method for finding the natural frequency distribution in a finite periodic structure. The basic concepts are then extended to wave propagation in infinitely long periodically supported beams and plates, and the distribution of natural frequencies of a similar structure of finite length. The method is then extended to vibration of skin-stringer structures, and the structural-acoustic properties of a section of an aircraft fuselage, based on a combination of the Finite Element Method and the Periodic Structure Theory in a highly cost-effective manner, compared to the conventional Finite Element method. Vibration of Periodic Structures: Applications to Structural Dynamics, Acoustics and Supersonic Panel Flutter is for practicing engineers in various industries involved in analysis of vibration of structures with periodic properties, and prediction of supersonic flutter characteristics of such structures. Shows how the periodic structure theory can be combined with the finite element method to model a section of an airplane fuselage to study its structural-acoustic characteristics Features developing methods for predicting the dynamics of periodic structures in a cost-effective manner Guides the reader in predicting and reducing response of periodically stiffened structures to random excitations