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

Structural Vibration: Exact Solutions for Strings, Membranes, Beams, Rings, Arches, 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 machines, and it presents the exact vibration solutions for strings, membranes, beams, rings, arches, and plates. It explains the intrinsic, fundamental, and unexpected features of 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

C. Y. Wang is a professor emeritus with the Department of Mathematics with joint appointment in mechanical engineering at Michigan State University, East Lansing, Michigan. He obtained his BS from Taiwan University and a PhD from Massachusetts Institute of Technology. Prof. Wang has published over 170 papers in solid mechanics (elastica, torsion, buckling, and vibrations of structural members), 170 papers in fluid mechanics (exact Navier-Stokes solutions, Stokes flow, unsteady viscous flow), and 120 papers in other areas (biological, thermal, electromechanics).

Prof. Wang also served as a technical editor for a prestigious journal in the area of mechanics. C. M. Wang is a professor in the Department of Civil and Environmental Engineering and the director of the Engineering Science Programme, Faculty of Engineering at the National University of Singapore. He is a chartered structural engineer, a fellow of the Singapore Academy of Engineering, a fellow of the Institution of Engineers Singapore, and a fellow of the Institution of Structural Engineers. His research interests are in the areas of structural stability, vibration, optimizations, plated structures, and Mega-Floats. He has published more than 400 scientific publications, co-edited three books, and is the Editor in Chief and is an editorial board member of prestigious journals.