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CODE:
%ÒÑ֪ʱ¼äÏòÁ¿t1Óë´øÆµÂÊÏà½üµÄ»ìµþģ̬µÄË¥¼õÐźÅy
guess = [1,0.01,0.01,1,0.01,0.01,0];%δ֪²ÎÊýµÄ³õÖµ
guess_f = [0.1663,0.1862];%ÒÑÖªµÄÁ½Ä£Ì¬µÄƵÂÊHz
myFun = @(a,x) a(1)./sqrt(1-a(2)^2).*exp(-a(2).*guess_f(1).*x).*cos(sqrt(1-a(2)^2).*guess_f(1).*x-a(3))+a(4)./sqrt(1-a(5)^2)*exp(-a(5).*guess_f(2).*x).*cos(sqrt(1-a(5)^2).*guess_f(2).*x-a(6))+a(7);
[coeff,R1,J1,CovB1,MSE1] = nlinfit(t1,y,myFun,guess);%t1Ϊʱ¼äÏòÁ¿£¬yΪ´øÆµÂÊÏà½üµÄ»ìµþģ̬µÄË¥¼õÐźÅ

CODE:
%ÒÑ֪ʱ¼äÏòÁ¿t1Óë´øÆµÂÊÏà½üµÄ»ìµþģ̬µÄË¥¼õÐźÅy
envelop = abs(hilbert(y));
envelop(1)=y(1);
guess = [1,0.01,1,0.01,0];%δ֪²ÎÊýµÄ³õÖµ
guess_f = [0.1663,0.1862];%ÒÑÖªµÄÁ½Ä£Ì¬µÄƵÂÊHz
myFun = @(a,x) a(1).*exp(-a(2).*x)+a(3).*exp(-a(4).*x)+a(5);%a(1)¡¢a(3)±íʾ·ùÖµ£¬a(2)¡¢a(4)±íʾ×èÄáÓëÆµÂʵij˻ý
[coeff,R1,J1,CovB1,MSE1] = nlinfit(t1,envelop,myFun,guess);%t±íʾ×Ô±äÁ¿£¬y ±íʾÒò±äÁ¿£¬myfun¸ø¶¨µÄº¬ÓÐδ֪²ÎÊýµÄº¯Êý½á¹¹£¬guessδ֪²ÎÊýµÄ³õÖµ
zeta1 = abs(coeff(2)./guess_f(1));
zeta2 = abs(coeff(4)./guess_f(2));

²Î¿¼ÎÄÏ×

[1] TAMURA Y, ZHANG L, YOSHIDA A, et al. Ambient vibration tests and modal identification of structures by FDD and 2DOF-RD technique[J]. The Proceedings of the Symposium on the Motion and Vibration Control, 2002,2003.8.

[2] TAMURA Y, YOSHIDA A. Amplitude Dependency of Damping in Buildings[C]//, 2008: 1-10.

[3] ZHOU K, LI Q, LI X. Eliminating Beating Effects in Damping Estimation of High-Rise Buildings[J]. Journal of Engineering Mechanics, 2019,145(12): 4019102.
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