減衰係数

PDF Document:Free vibration with viscous damping,Damping Coefficient:h - x(i)/x(i+n),h≪1. h≒1/(2*π*n)*ln(x(i)/(x(i+n))



DateFile NameSize(KB)MD5 Hash
2011/12/0920111209-002.pdf766a2bde20990684664531dc6fce26909d7

Keyword

Free vibration with viscous damping,Damping Coefficient:h - x(i)/x(i+n),h≪1. h≒1/(2*π*n)*ln(x(i)/(x(i+n))

Reference

[1]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp437-443,1986

Remarks

・Free vibration with viscous damping
・m*(d2x/dt2)+c*(dx/dt)+k*x=0
・h=c/(2*(k*m)^0.5)
・h:Damping coefficient
・c:Viscous damping coefficient
・k:Spring constant
・m:Mass

PDF Document:Free vibration with viscous damping-Detailed version,Damping Coefficient:h - x(i)/x(i+n),h=(ln(x(i)/x(i+n))/(2*π*n))^2/(1+(ln(x(i)/x(i+n))/(2*π*n))^2)^0.5

DateFile NameSize(KB)MD5 Hash
2011/12/1220111212-005.pdf263971d8f9e8bd7e360ef8dadb87c74383a7

Keyword

Free vibration with viscous damping-Detailed version,Damping Coefficient:h - x(i)/x(i+n),h=(ln(x(i)/x(i+n))/(2*π*n))^2/(1+(ln(x(i)/x(i+n))/(2*π*n))^2)^0.5

Reference

[1]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp437-443,1986

Remarks

・Free vibration with viscous damping
・m*(d2x/dt2)+c*(dx/dt)+k*x=0
・h=c/(2*(k*m)^0.5)
・h:Damping coefficient
・c:Viscous damping coefficient
・k:Spring constant
・m:Mass

PDF Document:Damping Coefficient:h. Free vibration with viscous damping.x(i)/x(i+n):From 1 to 100 step 0.05,h=(ln(x(i)/x(i+n))/(2*π*n))^2/(1+(ln(x(i)/x(i+n))/(2*π*n))^2)^0.5



DateFile NameSize(KB)MD5 Hash
2011/12/1320111213-005.pdf1710d67ca7ae87767c742fd3f102ed21a521

Keyword

Damping Coefficient:h. Free vibration with viscous damping.x(i)/x(i+n):From 1 to 100 step 0.05,h=(ln(x(i)/x(i+n))/(2*π*n))^2/(1+(ln(x(i)/x(i+n))/(2*π*n))^2)^0.5

Reference

[1]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp437-443,1986

Remarks

・Free vibration with viscous damping
・m*(d2x/dt2)+c*(dx/dt)+k*x=0
・h=c/(2*(k*m)^0.5)
・h:Damping coefficient
・c:Viscous damping coefficient
・k:Spring constant
・m:Mass

PDF Document:Forced vibration with viscous damping,Md=((1-(ω/p)^2)^2+4*(h*ω/p)^2)^-0.5



DateFile NameSize(KB)MD5 Hash
2011/12/1420111214-001.pdf289556ba22c54330b73e7b7d2bc3a36795c

Keyword

Forced vibration with viscous damping,Md=((1-(ω/p)^2)^2+4*(h*ω/p)^2)^-0.5

Reference

[1]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp437-443,1986

Remarks

・Free vibration with viscous damping
・m*(d2x/dt2)+c*(dx/dt)+k*x=0
・h=c/(2*(k*m)^0.5)
・h:Damping coefficient
・c:Viscous damping coefficient
・k:Spring constant
・m:Mass
・p:Natural frequency
・P:External force.P=P0*cos(ω*t)

PDF Document:Forced vibration with viscous damping,Mv=Md*ω/p



DateFile NameSize(KB)MD5 Hash
2011/12/1420111214-002.pdf280d6f66ad4e1f812ec8861ba05be676558

Keyword

Forced vibration with viscous damping,Mv=Md*ω/p

Reference

[1]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp437-443,1986

Remarks

・Free vibration with viscous damping
・m*(d2x/dt2)+c*(dx/dt)+k*x=0
・h=c/(2*(k*m)^0.5)
・h:Damping coefficient
・c:Viscous damping coefficient
・k:Spring constant
・m:Mass
・p:Natural frequency
・P:External force.P=P0*cos(ω*t)

PDF Document:Forced vibration with viscous damping,Ma=Md*(ω/p)^2



DateFile NameSize(KB)MD5 Hash
2011/12/1420111214-003.pdf2762762599ad41bff33ab8e57804bc66991

Keyword

Forced vibration with viscous damping,Ma=Md*(ω/p)^2

Reference

[1]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp437-443,1986

Remarks

・Free vibration with viscous damping
・m*(d2x/dt2)+c*(dx/dt)+k*x=0
・h=c/(2*(k*m)^0.5)
・h:Damping coefficient
・c:Viscous damping coefficient
・k:Spring constant
・m:Mass
・p:Natural frequency
・P:External force.P=P0*cos(ω*t)

PDF Document:Phase angle under forced vibration with viscous damping,α=arctan(2*h*ω/p/(1-(ω/p)^2))


DateFile NameSize(KB)MD5 Hash
2011/12/2220111222-001.pdf5008c94030ccc20852526bee4778fef6ff2

Keyword

Phase angle under forced vibration with viscous damping,α=arctan(2*h*ω/p/(1-(ω/p)^2))

Reference

[1]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp437-443,1986

Remarks

・Free vibration with viscous damping
・m*(d2x/dt2)+c*(dx/dt)+k*x=0
・h=c/(2*(k*m)^0.5)
・h:Damping coefficient
・c:Viscous damping coefficient
・k:Spring constant
・m:Mass
・p:Natural frequency
・P:External force.P=P0*cos(ω*t)

PDF Document:Dimensionless amplification factor:Md. Forced vibration with viscous damping.ω/p:From 0.1 to 10 step 0.01,Md=((1-(ω/p)^2)^2+4*(h*ω/p)^2)^-0.5. h:From 0.01 to 0.09


DateFile NameSize(KB)MD5 Hash
2011/12/2220111222-002.pdf191c762d3f2701af0ae1d9721f8a2512b7e

Keyword

Dimensionless amplification factor:Md. Forced vibration with viscous damping.ω/p:From 0.1 to 10 step 0.01,Md=((1-(ω/p)^2)^2+4*(h*ω/p)^2)^-0.5. h:From 0.01 to 0.09

Reference

[1]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp437-443,1986

Remarks

・Free vibration with viscous damping
・m*(d2x/dt2)+c*(dx/dt)+k*x=0
・h=c/(2*(k*m)^0.5)
・h:Damping coefficient
・c:Viscous damping coefficient
・k:Spring constant
・m:Mass
・p:Natural frequency
・P:External force.P=P0*cos(ω*t)

PDF Document:Dimensionless amplification factor:Mv. Forced vibration with viscous damping.ω/p:From 0.1 to 10 step 0.01,Mv=Md*ω/p. h:From 0.01 to 0.09

DateFile NameSize(KB)MD5 Hash
2011/12/2220111222-003.pdf1968223702ddec01d9b4a462030877b1998

Keyword

Dimensionless amplification factor:Mv. Forced vibration with viscous damping.ω/p:From 0.1 to 10 step 0.01,Mv=Md*ω/p. h:From 0.01 to 0.09

Reference

[1]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp437-443,1986

Remarks

・Free vibration with viscous damping
・m*(d2x/dt2)+c*(dx/dt)+k*x=0
・h=c/(2*(k*m)^0.5)
・h:Damping coefficient
・c:Viscous damping coefficient
・k:Spring constant
・m:Mass
・p:Natural frequency
・P:External force.P=P0*cos(ω*t)

PDF Document:Dimensionless amplification factor:Ma. Forced vibration with viscous damping.ω/p:From 0.1 to 10 step 0.01,Ma=Md*(ω/p)^2. h:From 0.01 to 0.09

DateFile NameSize(KB)MD5 Hash
2011/12/2220111222-004.pdf2018fed862cfe9b2493f7eb0c6827cf4298

Keyword

Dimensionless amplification factor:Ma. Forced vibration with viscous damping.ω/p:From 0.1 to 10 step 0.01,Ma=Md*(ω/p)^2. h:From 0.01 to 0.09

Reference

[1]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp437-443,1986

Remarks

・Free vibration with viscous damping
・m*(d2x/dt2)+c*(dx/dt)+k*x=0
・h=c/(2*(k*m)^0.5)
・h:Damping coefficient
・c:Viscous damping coefficient
・k:Spring constant
・m:Mass
・p:Natural frequency
・P:External force.P=P0*cos(ω*t)

PDF Document:Phase angle under forced vibration with viscous dampingω/p:From 0.1 to 10 step 0.01,α(°)=arctan(2*h*ω/p/(1-(ω/p)^2)). h:From 0.01 to 0.09

DateFile NameSize(KB)MD5 Hash
2011/12/2220111222-005.pdf212b49deae7fdd1079ad6abaa363965a510

Keyword

Phase angle under forced vibration with viscous dampingω/p:From 0.1 to 10 step 0.01,α(°)=arctan(2*h*ω/p/(1-(ω/p)^2)). h:From 0.01 to 0.09

Reference

[1]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp437-443,1986

Remarks

・Free vibration with viscous damping
・m*(d2x/dt2)+c*(dx/dt)+k*x=0
・h=c/(2*(k*m)^0.5)
・h:Damping coefficient
・c:Viscous damping coefficient
・k:Spring constant
・m:Mass
・p:Natural frequency
・P:External force.P=P0*cos(ω*t)