This book is a comprehensive survey on multiple exact vibration solutions. It serves as a benchmark for other approximate methods used by industry professionals, researchers, and academics working in structural and mechanical engineering. Specifically, it provides basic governing equations of motion and boundary conditions, as well as exact solutions for the vibration of beams, plates, membranes, and strings. It examines the exact functions for a large range of differential equations, providing a rich source of practical problems when teaching differential equations to engineering science students.
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