Single Degree of Freedom System (Sdof)
32
SINGLE DEGREE OF FREEDOM SYSTEM (SDOF) Prof.Dr.Ir.Bambang Budiono, M.E.
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Transcript of Single Degree of Freedom System (Sdof)
SINGLE DEGREE OF FREEDOM SYSTEM (SDOF)
Prof.Dr.Ir.Bambang Budiono, M.E.
SDOF
SDOF
SDOF
Due to no external force p(t)= 0
STIFFNESS AND FUNDAMENTAL PERIOD
STIFFNESS AND FUNDAMENTAL PERIOD
= angular velocity [radial/second]m= mass of structure [Weight/gravity]k = stiffness [Spring Force/displacement]f = frequency (Hertz)T = fundamental period (second)
UNDAMPED (FREE) VIBRATION
UNDAMPED (FREE) VIBRATION
EXAMPLE
EXAMPLE
EXAMPLE
EXAMPLE
DAMPED VIBRATION
Amplitude of motion (p)
DAMPED VIBRATION
Order of fraction of critical damping for structures = 3 % to 5%, then d can be considered as
RESPONSE OF SDOF USING STEP BY STEP INTEGRATION METHOD
RESPONSE OF SDOF USING STEP BY STEP INTEGRATION METHOD
RESPONSE OF SDOF USING STEP BY STEP INTEGRATION METHOD
RESPONSE OF SDOF USING STEP BY STEP INTEGRATION METHOD
RESPONSE OF SDOF USING STEP BY STEP INTEGRATION METHOD
RESPONSE OF SDOF USING STEP BY STEP INTEGRATION METHOD
RESPONSE OF SDOF USING STEP BY STEP INTEGRATION METHOD
Response Spectra
Maximum Displacement is Sd (spectral displacement)
Response Spectra
Response Spectra
Maximum Pseudo Velocity is Sv
(pseudo spectral velocity)
Maximum Pseudo Acceleration is Sa
(spectral displacement)-see Eq.4-37
Tripartite Log Response Spectra
Design Response Spectra
Design Response Spectra
Design Response Spectra
Design Response Spectra
Design Response Spectra
Design Response Spectra
Koefisien Gempa C = Sa/g (UBC 1997-SNI 2002)
21 Agustus, 2008 Jakarta, HAKI08 32
