File:Frequency response of 3 degrees of freedom system.png

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日本語: file:Three point masses vibration system.svgにおいて、質点3入力・質点2応答とした場合の周波数応答。各パラメータの値は、背戸 一登・丸山 晃市 (2002) 振動工学 ―解析から設計まで (第1版 ed.), 森北出版, p. 224 ISBN: 4-627-66451-6. の例題の値を参考・流用した。
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Source Own work
Author Yapparina

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clear all;

//固有角振動数
ome1 = 19.77 // rad/s
ome2 = 69.54 // rad/s
ome3 = 119.5 // rad/s

//モード減衰比
ze1 = 6.59*10^-4
ze2 = 2.3*10^-3
ze3 = 4.0*10^-3

//モード剛性
K1 = 0.342*1500 // N/m
K2 = 2.83 *1500 // N/m
K3 = 3.08 *1500 // N/m

//計算する振動数の範囲
w = linspace(0,170,10000)

//周波数応答関数
f1 = 1 ./( 1 - (w./ome1).^2 + %i .* 2 .* ze1 .* (w./ome1) ) 
f2 = 1 ./( 1 - (w./ome2).^2 + %i .* 2 .* ze2 .* (w./ome2) ) 
f3 = 1 ./( 1 - (w./ome3).^2 + %i .* 2 .* ze3 .* (w./ome3) ) 

//固有モード
phi11 = 1
phi21 = 0.739
phi31 = 0.382
phi12 = -0.449
phi22 = 1
phi32 = 0.838
phi13 = 0.045
phi23 = -0.379
phi33 = 1

//質点pが入力、質点qが応答としてGqp
G23 = phi21 .* phi31 ./ K1 .* f1 + phi22 .* phi32 ./ K2 .* f2 + phi23 .* phi33 ./ K3 .* f3 
fre = w ./ 2 /%pi
data_y1 = abs(G23')
data_y2 = atan(imag(G23'),real(G23'))*180/%pi
data_x = fre'

//値をcsvで吐き出す。グラフ化はexcelなどで。
csvWrite([data_x data_y1],'write1.csv') 
csvWrite([data_x data_y2],'write2.csv')

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