The Effect of Boundary Support and Refl ector Dimensions on Infl atable Parabolic Antenna Performance

نویسندگان

  • Michael J. Coleman
  • Frank Baginski
چکیده

Nomenclature A Aperture area of the antenna (square meters) D Diameter of antenna aperture (meters) Ef Gravitational potential energy due to film (Joules) Ep Hydrostatic pressure potential energy (Joules) ET Total energy of the inflatable reflector system (Joules) F Focal length of antenna (meters) G Effective antenna gain GI Ideal antenna gain g Acceleration due to gravity (meters per square second) Kt,m Tendon stiffness constant in the m th supporting tendon (Newtons) S f Relaxed film strain energy (Joules) S t Relaxed tendon strain energy (Joules) N Number of triangular elements in the upper and lower shells Nf Number of triangular elements in the lower shell Nt Number of supporting tendons p0 Constant differential pressure (Pascals) W ∗ f Relaxed film strain energy density (Joules per square meter) W ∗ t,m Relaxed tendon strain energy density in the m th supporting tendon (Joules per square meter) E Young’s modulus of film (Pascals) ν Poisson’s ratio of film material ΩR Reference configuration Ω Deformed configuration α Rim modification factor γ Tendon length adjustment factor εm Strain in the m th supporting tendon (meters per meter) λ Radiation wavelength (meters) f Radiation frequency (Hertz) IR k-dimensional Euclidean space r̂ Unit direction vector from the antenna to a point in the far field (unit meter) ĵ Unit direction vector (0, 1, 0) (unit meter) k̂ Unit direction vector (0, 0, 1) (unit meter) NASA/TM—2011-217110 2

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تاریخ انتشار 2011