Modeling Dynamic Systems

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# Modeling Dynamic Systems - PowerPoint PPT Presentation

Modeling Dynamic Systems. Basic Quantities From Earthquake Records Fourier Transform, Frequency Domain Single Degree of Freedom Systems (SDOF) Elastic Response Spectra Multi-Degree of Freedom Systems, (MDOF) Modal Analysis Dynamic Analysis by Modal Methods Method of Complex Response.

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## PowerPoint Slideshow about 'Modeling Dynamic Systems' - sai

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Presentation Transcript
Modeling Dynamic Systems
• Basic Quantities From Earthquake Records
• Fourier Transform, Frequency Domain
• Single Degree of Freedom Systems (SDOF) Elastic Response Spectra
• Multi-Degree of Freedom Systems, (MDOF) Modal Analysis
• Dynamic Analysis by Modal Methods
• Method of Complex Response

xt

x

m

m

x

c

c

k/2

k/2

k/2

k/2

xg

(a)

(b)

Earthquake Elastic Response Spectra

x3

m3

c3

k3/2

k3 /2

x2

m2

c2

k2/2

k2/2

x1

m1

y3

y2

c1

y4

k1/2

k1/2

y1

y5

θ3

θ2

θ5

θ4

θ1

(a)

(b)

Multi-Degree of Freedom

Finite Elements

u1

u7

G1,ρ1,ν1

u2

u8

Method of Complex Response
• Given earthquake acceleration vs. time, ü(t)
• FFT => ω1, ω 2 , ω 3...ωn ; {p}1 ,{p}2 ,{p}3,{p}n
• Recall that
• Solve
• FFT-1 => ü (t)

Circular boundary to reduce reflections

Zoom 1

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