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The following code shows the third mode shape of a circular membrane.The rendering is extemely poor as the amplitue varies. Any suggestions on how to improve performance ?

 Manipulate[RevolutionPlot3D[a BesselJ[0,8.65373] r], {r, 0, 1}, 
  PlotLabel -> "Third Mode", PlotRange -> {-1, 1}], {a, -1, 1}]
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1 Answer 1

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Increase the values for PlotPoints and/or MaxRecursion

Clear["Global`*"]

Manipulate[
 RevolutionPlot3D[a BesselJ[0, 8.65373 r], {r, 0, 1},
  PlotLabel -> "Third Mode",
  PlotRange -> {-1, 1},
  PlotPoints -> 50,
  MaxRecursion -> 2,
  PerformanceGoal -> "Quality"],
 {{a, -1}, -1, 1, 0.01, Appearance -> "Labeled"},
 SynchronousUpdating -> False,
 TrackedSymbols :> All]

enter image description here

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