Internal twist and least-squares adjustment of four-cornered surface plates for reflector antennas

Physics

Scientific paper

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Antenna Design, Least Squares Method, Parabolic Reflectors, Radio Telescopes, Reflector Antennas, Surface Geometry, Design Analysis, Plates (Structural Members), Trapezoids, Twisting

Scientific paper

It is noted that surface plates with four adjustment screws, one at each corner, allow four degrees of freedom for their adjustment, including an internal nonplanar twist or warp. Thus the surface deformations of trapezoidal plates are investigated under enforced twists. A simple equation is derived that is found to be a satisfactory approximation for various plate designs (solid plate, honeycomb, and skin-and-ribs). Measurements at four different experimental plates are found to agree with it within 2 percent. This approximation is then used in developing a least-squares procedure for obtaining those adjustment amounts which minimize the root-mean-square (rms) deviation between the plate's surface and the desired telescope paraboloid. The resulting procedure is recommended for all telescopes having trapezoidal surface plates.

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