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DESIGN AND MATHEMATICAL MODELLING OF THE KINETIC SCULPTURE BLADE S.D. Gooch A thesis submitted for the degree of Doctor of Philosophy at the Department of Mechanical Engineering University of Canterbury Christchurch New Zealand 2001 ENGINEERING IJIIMRY f !1 ' ' / ' I ; ~ J. ~ ; ~ Abstract Christchurch born artist Len Lye {1901-1980) built the kinetic sculpture, Blade (1965), as a prototype for what he perceived to be a much larger work. This thesis presents a study, which predicts the vibratory response of Blade and develops a design for the sculpture to be built at the largest practical economic size. Len Lye's aesthetic requirements stipulate that the vibratory blade form of the scaled sculpture must be geometrically similar to the original work and that static similarity should exist between the original and the scaled blades. Dimensionless formulae are derived and used to study the influence of design parameters and increasing size on structural properties such as natural frequenci...