Structural Responses in Mechatronicsby Tau-chao Fan, World Open Univ, Palos Verdes Estates, United States,
T. R. Wu, World Open Univ, Palos Verdes Estates, United States,
Abstract: The design analysis of a circular cylinder, ring-stiffened intermittently, subject to conducting flow, is presented herein (Fan, 1986 & 1990). This composite cylinder is made of superalloy reinforced with discrete fibers of high thermal and electric conductivity. The plasma impulse (Kash) and the induced Lorentz force are the primary source inside the cylinder for propulsive device. The Joule Heating by the conducting current of boosters at the locations of stiffeners leads to the dynamic buckling of the cylinder. An extended Hamilton principle is used in the derivation of governing equations because the subject systemis non-conservative. By the approach in mesomechanics, the generalized Hooke's law is expanded to include the electro-magnetic terms in the strain matrix. The buckling is examined by the theory of total energy potential. It means that the electric and magnetic energies are considered besides the strain, kinetic and thermal types. A simple circuit diagram is employed to illustrate the electro-magnetic (E/M) contribution in the prescribed composite system. Galerkin method (Bierniek) is consulted in seeking the solutions for the design.
Subject Headings: Cylinders | Magnetic fields | Composite materials | Thermal power | Buckling | Strain | Structural analysis | Fibers
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