This book presents dynamic calculation in the context of structural mechanics and civil engineering. It explains the process of testing the strength of structures and determining the dynamic displacements, velocities, and accelerations, whose values; as measured by the influence of vibrations on people, and certain types of precision equipment, such as measuring instruments, high-precision machines, and equipment for microelectronics production, should not exceed the permissible limits. The first part of the book (15 chapters) is ideal as a textbook for advanced undergraduate, graduate, or post-graduate students taking their first course in structural dynamics. This text can be used for two semesters. In addition, the book will serve as a primary reference for practicing engineers and research workers, as well as a self-study guide for students, researchers, and professional engineers. The second part of the book (chapter 16 onwards) is intended mainly for professionals and specialists in the field of dynamics of structures and related areas. Maximizes understanding of concepts of dynamic analysis of structures; includes many of problems with solutions; Presents analysis and methodologies used across engineering domains to solve structural dynamics problems; Features a method of calculating the Hilbert transformation, allowing analysis of aprioristic models of dynamic systems; Illustrates the modern methods of dynamic analysis of structures.