%% 美国轨道功率谱PSD
% w=2*pi/L;空间频率定义 最关键的是单位转换问题!
% 参数设置
fs=1000; %采样频率
l=0.5:1/fs:300; %波长范围 m 0.5m-300m
W=2*pi./l;
Av=0.2095;%粗糙度常数cm2.(rad/m) 5级
Av_1=0.2095*100*(2*pi);%粗糙度常数mm2.(1/m) 5级
Aa=0.0762;%粗糙度常数cm2.(rad/m) 5级
Aa_1=0.0762*100*(2*pi);%粗糙度常数mm2.(1/m) 5级
Wc=0.8245;%rad/m 5级?
Ws=0.8209;%rad/m 5级,,。了,。看,;,;。;看
Ws_1=0.8209*2*pi;%1/m 5级
k=0.25;%安全系数
Lc=2*pi/Wc;% 7.6206m 特征波长1
Ls=2*pi/Ws;% 7.6540m 特征波长2
%美国六级线路
Av2=0.0339;
Ws2=0.4380;
Ls2=2*pi/Ws2;
%单位转换 cm2/(rad/m) -> 100 mm2/(rad/m) 100/(2*pi) mm2/(1/m)
%美国五级线路
%以空间频率w=2*pi/L(rad/m)作为x轴自变量 S单位为cm2/(rad/m)
S1_W=k*Av*(Wc)^2./(W.^2.*(W.^2+Wc^2)); %高低不平顺
S2_W=k*Aa*(Wc)^2./(W.^2.*(W.^2+Wc^2)); %方向不平顺
S3_W=4*k*Av*Wc^2./((W.^2+Wc^2).*(W.^2+Ws^2)); %水平及轨距不平顺
%转换成统一的标准,以波长L(m)作为x轴自变量 S单位为cm2.(1/m) =100*mm2.(1/m)
S1=100*k*Av./(2*pi*(2*pi./(Wc*l)).^2+2*pi).*l.^2; %高低不平顺
S2=100*k*Aa./(2*pi*(2*pi./(Wc*l)).^2+2*pi).*l.^2; %方向不平顺
S3=100*2*k*Av./(pi*l.^2*Lc.^2.*(1./l.^2+1/Lc.^2).*(1./l.^2+1/Ls2.^2)).*l.^2; %水平及轨距不平顺
S1_L=100*k*Av*(Wc)^2./(W.^2.*(W.^2+Wc^2))*2*pi./(l.^2); %高低不平顺
S2_L=100*k*Aa*(Wc)^2./(W.^2.*(W.^2+Wc^2))*2*pi./(l.^2); %方向不平顺
S3_L=100*4*k*Av*Wc^2./((W.^2+Wc^2).*(W.^2+Ws^2))*2*pi./(l.^2); %水平及轨距不平顺
%参数设置 14.3452m
S4=100*k*Av2./(2*pi*(2*pi./(Wc*l)).^2+2*pi).*l.^2; %高低不平顺
S5=100*k*Aa./(2*pi*(2*pi./(Wc*l)).^2+2*pi).*l.^2; %方向不平顺
S6=100*2*k*Av2./(pi*l.^2*Lc.^2.*(1./l.^2+1/Lc.^2).*(1./l.^2+1/Ls2.^2)).*l.^2;
S4_L=100*k*Av2*(Wc)^2./(W.^2.*(W.^2+Wc^2))*2*pi./(l.^2); %高低不平顺
S5_L=100*k*Aa*(Wc)^2./(W.^2.*(W.^2+Wc^2))*2*pi./(l.^2); %方向不平顺
S6_L=100*4*k*Av2*Wc^2./((W.^2+Wc^2).*(W.^2+Ws^2))*2*pi./(l.^2);
%% 画图
figure(1);
loglog(l,S1,'r'); %绘制波长与功率谱密度的双对数坐标图h
title('美国5级高低不平顺'); %题名,并设置字号为25
ylabel('功率谱密度/mm2.m'); %y轴名称
grid on %加网格
xlabel('波长/m'); %x轴名称
set(gca,'xdir','reverse');
figure(2)
loglog(l,S2,'r');
title('美国5级方向不平顺');
ylabel('功率谱密度/mm2.m');
grid on
xlabel('波长/m');
set(gca,'xdir','reverse');
figure(3)
loglog(l,S6,'r');
title('美国6级水平及轨距不平顺');
ylabel('功率谱密度/mm2.m');
grid on
xlabel('波长/m');
set(gca,'xdir','reverse');
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