This book focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory.

Gennadi I. Mikhasev is an expert in the theory of non-stationary localized dynamics of thin shells and in the mathematical modelling in biomechanics. He is a co-author of two monographs in mechanics of thin shells, two handbooks in bio-mechanics, and of around 100 papers. He is the head of the department of Bio- and Nanomechanics in the Belarusian State University, as well as a part-time researcher in the laboratory of Theoretical and Applied Mechanics.

Petr E. Tovstik is a specialist in the theory of asymptotic methods and its applications to the shell vibrations and buckling and to the various branches of mechanics. He is a co-author of ten monographs and of around 150 papers. He is the head of department of Theoretical and Applied Mechanics of the Sankt Petersburg State University, as well a part-time researcher in the Institute of Mechanical Engineering.

1. Introduction. 2. Equations of the two-dimensional theory of shells. 3. Localized vibration modes of plates and shells of revolution. 4. Localized vibration modes of cylindrical and conic shells. 5. Localized Parametric Vibrations of Thin Shells. 6. Wave Packets in Medium-length Cylindrical Shells. 7. Effect of External Forces on Wave Packets in Zero Curvature Shells. 8. Wave Packets in Long Shells of Revolution Travelling in the Axial Direction. 9. Two-dimensionalWave Packets in Shells of Arbitrary Shape.