Structural Vibration Exact Solutions for Strings, Membranes, Beams, and Plates

Structural Vibration: Exact Solutions for Strings, Membranes, Beams, and Plates offers an introduction to structural vibration and highlights the importance of the natural frequencies in design. It focuses on free vibrations for analysis and design of structures and machine and presents the exact vibration solutions for strings, membranes, beams, rings, arches and plates. It explains the intrinsic, fundamental, and unexpected features of the solutions in terms of known functions as well as solutions determined from exact characteristic equations. This new edition is updated throughout and adds all new coverage of vibration solutions of rings, arches and linked segmented structures. Presents a single-volume resource for exact solutions of vibration problems in strings, membranes, beams, rings, arches and plates. Serves as a useful reference for checking vibration frequency values and mode shapes of structural problems. Includes governing equations and boundary conditions for vibration of structural elements. Presents analogies of vibration problems.