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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I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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