time history of lift, displacement, drag and their FFT -- VIV post-processing
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code for FFT of time history of lift, displacement, drag of a vibrating cylinder
# author: guofei, HIT
clear; clc; %% read data data=xlsread(‘gap1Ur8.xlsx‘); A1=data(1000:10000,1); A2=data(1000:10000,2); A3=data(1000:10000,3); A4=data(1000:10000,4); figure(1); U=1.1686; %% fig_hei=0.28; fig_wei=0.9; lef_cor_x=0.08; lef_cor_y=0.1; %% plot data %cd subplot(3,1,1,‘position‘, [lef_cor_x lef_cor_y+fig_hei+fig_hei fig_wei fig_hei]) plot(A1*U/0.1,A4,‘b-‘); ylabel(‘itC_{D}‘,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘); set(gca,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘) axis([20,400,-inf,inf]) set(gca,‘xticklabel‘,[]) box off ax2 = axes(‘Position‘,get(gca,‘Position‘),... ‘XAxisLocation‘,‘top‘,... ‘YAxisLocation‘,‘right‘,... ‘Color‘,‘none‘,... ‘XColor‘,‘k‘,‘YColor‘,‘k‘); set(ax2,‘YTick‘, []); set(ax2,‘XTick‘, []); box on %cl subplot(3,1,2,‘position‘, [lef_cor_x lef_cor_y+fig_hei fig_wei fig_hei]) plot(A1*U/0.1,A3,‘r-‘); ylabel(‘itC_{l}‘,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘); set(gca,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘) axis([20,400,-inf,inf]) set(gca,‘xticklabel‘,[]) box off ax2 = axes(‘Position‘,get(gca,‘Position‘),... ‘XAxisLocation‘,‘top‘,... ‘YAxisLocation‘,‘right‘,... ‘Color‘,‘none‘,... ‘XColor‘,‘k‘,‘YColor‘,‘k‘); set(ax2,‘YTick‘, []); set(ax2,‘XTick‘, []); box on %A/D subplot(3,1,3,‘position‘, [lef_cor_x lef_cor_y fig_wei fig_hei]) plot(A1*U/0.1,A2/0.1,‘r-‘); ylabel(‘itA/D‘,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘); xlabel(‘ittU/D‘,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘); set(gca,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘) axis([20,400,-inf,inf]) box off ax2 = axes(‘Position‘,get(gca,‘Position‘),... ‘XAxisLocation‘,‘top‘,... ‘YAxisLocation‘,‘right‘,... ‘Color‘,‘none‘,... ‘XColor‘,‘k‘,‘YColor‘,‘k‘); set(ax2,‘YTick‘, []); set(ax2,‘XTick‘, []); box on %% FFT Data_FFT=[A2,A3,A4]; S=[Data_FFT(:,1)-mean(Data_FFT(:,1)),Data_FFT(:,2)-mean(Data_FFT(:,2)),Data_FFT(:,3)-mean(Data_FFT(:,3))]; Fs=200;%²ÉÑùƵÂÊ N=9000;%²ÉÑùµã t=[0:1/Fs:N/Fs]; Y=fft(S,N); Ayy=(abs(Y)); %Ayy=Ayy/(N/2); Ayy_1=Ayy(:,1); Ayy_2=Ayy(:,2); Ayy_3=Ayy(:,3); F=([1:N]-1)*Fs/N; figure(2); %cd subplot(3,1,1,‘position‘, [lef_cor_x lef_cor_y+fig_hei+fig_hei fig_wei fig_hei]) plot(F(1:N/2),Ayy_3(1:N/2),‘b-‘,‘linewidth‘,2); ylabel(‘itAmplitude‘,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘); set(gca,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘) axis([0,10,0,inf]) set(gca,‘xticklabel‘,[]) box off ax2 = axes(‘Position‘,get(gca,‘Position‘),... ‘XAxisLocation‘,‘top‘,... ‘YAxisLocation‘,‘right‘,... ‘Color‘,‘none‘,... ‘XColor‘,‘k‘,‘YColor‘,‘k‘); set(ax2,‘YTick‘, []); set(ax2,‘XTick‘, []); box on %cl subplot(3,1,2,‘position‘, [lef_cor_x lef_cor_y+fig_hei fig_wei fig_hei]) plot(F(1:N/2),Ayy_2(1:N/2),‘b-‘,‘linewidth‘,2); ylabel(‘itAmplitude‘,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘); set(gca,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘) axis([0,10,0,3e3]) set(gca,‘xticklabel‘,[]) box off ax2 = axes(‘Position‘,get(gca,‘Position‘),... ‘XAxisLocation‘,‘top‘,... ‘YAxisLocation‘,‘right‘,... ‘Color‘,‘none‘,... ‘XColor‘,‘k‘,‘YColor‘,‘k‘); set(ax2,‘YTick‘, []); set(ax2,‘XTick‘, []); box on %dis subplot(3,1,3,‘position‘, [lef_cor_x lef_cor_y fig_wei fig_hei]) plot(F(1:N/2),Ayy_1(1:N/2),‘b-‘,‘linewidth‘,2); xlabel(‘itf‘,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘); ylabel(‘itAmplitude‘,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘); set(gca,‘fontsize‘,20,‘fontname‘,‘Times New Roman‘) axis([0,10,0,200]) box off ax2 = axes(‘Position‘,get(gca,‘Position‘),... ‘XAxisLocation‘,‘top‘,... ‘YAxisLocation‘,‘right‘,... ‘Color‘,‘none‘,... ‘XColor‘,‘k‘,‘YColor‘,‘k‘); set(ax2,‘YTick‘, []); set(ax2,‘XTick‘, []); box on %% mean_Cd mean_Cd=mean(A4) %% rms_Cd rms_Cd=rms(A4) %% rms_cl rms_Cl=rms(A3) %% displacement A2_mean=A2(A2>0.06); s=sum(A2_mean); l=length(find(A2>0.06)); dis_ave=s/l; %% RMS_dis Rms=rms(A2); dis=Rms*(2)^0.5 max_dis=max (A2) K=F‘; C=data(:,1)*U/0.1;
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