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Red Outside curve Green Inside Area
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Graphed in Logger Pro |
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Beard Resonator Inside Area = 108.3 square inches |
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The Nealon Equation |
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y = (A*sin(B*x+C) + D*sin(E*x+F) + G*sin(H*x+I) + J*sin(K*x+L)) * (M + N*x + O*x^2 + P*x^3 + Q*x^4) * atan(R*x) * atan(S*(BL-x)) |
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Beard Resonator |
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Graphed in Logger Pro |
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Data from blueprint |
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Calculated curve |
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Graphed in “Graph” |
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y = (A*sin(B*x+C)+D*sin(E*x+F)+G*sin(H*x+I)+J*sin(K*x+L))*(M+N*x+O*x^2+P*x^3+Q*x^4)*atan(R*x)*atan(S*(19.725-x)) |
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This is the Beard square neck resonator in Graph where y(x) and – y(x) are plotted. The axes are removed. |
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webpages and Eos image copyright 2014 M Nealon |
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Total length of side = 29.4 inches |
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Beard Resonator |
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A |
0.09921364 |
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B |
-1.205259 |
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C |
0.0986698 |
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D |
0.4959425 |
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E |
0.8388244 |
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F |
5.147737 |
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G |
6.057618 |
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H |
0.108849 |
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I |
3.936981 |
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J |
2.265881 |
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K |
0.4181337 |
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L |
-4.280678 |
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M |
-0.5284347 |
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N |
-0.0591946 |
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O |
0.04773545 |
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P |
-0.005983448 |
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Q |
0.000189199 |
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R |
16.59738 |
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S |
71.12232 |
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BL |
19.725 |
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A B C D E F G H I J K L M N O P Q R S BL |
0.09921364 -1.205259 0.0986698 0.4959425 0.8388244 5.147737 6.057618 0.108849 3.936981 2.265881 0.4181337 -4.280678 -0.5284347 -0.0591946 0.04773545 -0.005983448 0.000189199 16.59738 71.12232 19.725 |
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A = 0.09921364 |
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B = -1.205259 |
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C = 0.0986698 |
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D = 0.4959425 |
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E = 0.8388244 |
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F = 5.147737 |
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G = 6.057618 |
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H = 0.108849 |
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I = 3.936981 |
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J = 2.265881 |
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K = 0.4181337 |
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L = -4.280678 |
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M = -0.5284347 |
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N = -0.0591946 |
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O = 0.04773545 |
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P = -0.005983448 |
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Q = 0.000189199 |
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R = 16.59738 |
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S = 71.12232 |
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BL = 19.725 |
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