アンテナ展開時の固有振動数の推定における反射鏡モードの選定(機械力学,計測,自動制御)

概要

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A method is proposed that precisely predicts natural frequencies for stiffness design of a deployable satellite antenna in a deployed configuration. Deployable satellite antennas are modeled as a coupled system; the reflector (an elastic body) is supported by a support structure or mechanism (a coil spring). The vibration equation is obtained by substituting kinetic and potential energies into Lagrange's Equation. It can be seen that natural frequencies of the deployable antenna depend on a parameter calculated from the modal momentum of the i-th mode and the moment of inertia of the reflector. The parameter represents the magnitude of the relative contribution of the i-th mode to the overall structural behavior around each coordinate axis. Therefore, this parameter can provide a useful indication of which modes we must consider from a prediction accuracy point of view. A numerical example shows that the proposed method is significantly effective for frequency prediction of deployable antennas.
一般社団法人日本機械学会の論文
2002-07-25