ABSTRACT
This chapter introduces non-rotating beams which are isospectral to rotating beams. It seeks non-rotating beams with continuous mass and flexural stiffness distributions, that are isospectral to a given uniform rotating beam. Typically, more than one frequency spectrum is required for a reconstruction procedure, to determine the material properties of the system. Isospectral systems are of enormous interest in mechanics as they offer alternative usable designs. The chapter proposes a method of obtaining non-uniform non-rotating beams that are isospectral to a given uniform rotating beam. It obtains the breadth and height variations, of the rectangular cross-section, with span, of isospectral rotating and non-rotating beams. Recent advancements in computerized machining techniques such as additive manufacturing or rapid-prototyping, facilitate the manufacturing of any complex 3D shape. Therefore, it is possible to manufacture isospectral rotating and non-rotating beams, using the breadth and height variations of the cross-section.
