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CES 6108 : Structural Dynamics
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Overview |
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Overview |
| The purpose of this course is to provide the student with an understanding of the response of structural systems to time-varying dynamic loads and displacements. The student will study the response of single degree-of-freedom (DOF) and multi-DOF systems to harmonic and general loading conditions so that the theoretical bases of earthquake, blast, impact, etc. structural loading specifications are understood. Solution methods for free vibration and forced vibration of single and multi-DOF systems will be studied. Response spectrum analysis for support excitation (earthquake motions) will be studied. |
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General Information |
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Course |
Syllabus
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Notes |
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01 Introduction |
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02 Dynamic loading conditions |
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03 Unit sets |
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04 SDOF concepts |
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05 Qualitative analysis of SDOFs |
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06 SDOF example calculations |
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07 Effective stiffness |
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08 Rotational DOF, energy method, gravity, collisions |
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09 SDOF undamped free vibration |
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10 SDOF damped free vibration |
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11 Logarithmic decrement |
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12 SDOF response to harmonic load |
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13 Response factors and damping at resonance |
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14 Transmissibility |
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15 Block loading |
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16 Duhamel's integral |
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17 Earthquake loading |
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18 Blast loading introduction |
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19 Linear acceleration method |
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20 Central difference method (CDM) |
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21 Implicit vs. explicit time-integration |
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22 SDOF seismic response spectra |
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23 Nonlinear (elasto-plastic) SDOF CDM analysis |
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24 Introduction to MDOF systems and MDOF CDM direct integration |
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25 MDOF eigen problem |
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26 Model reduction via flexibility inversion |
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27 Orthogonality of eigenvectors |
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28 Mode superposition method |
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29 Earthquake analysis |
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30 Seismic RSA design spectrum |
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31 Seismic RSA base shear, modal loads, and SRSS/CQC combination |
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32 Seismic RSA comprehensive example |
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33 Rayleigh damping |
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34 Periodic functions and Fourier series |
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35 Filtering using fast Fourier transforms (FFTs) |
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Assignments |
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Distributed by email |
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Supporting Documents |
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Earthquake ground acceleration records : Zip file |
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NEHRP 2003 PDF file, ISO image of CDROM from FEMA, FEMA website (Note: Table 4.3-1 is cropped in the online version of FEMA 450), |
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Recommended USGS ground motion parameter calculator: Java version (requires a network connection to access spectral acceleration map data) |
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Alternative USGS ground motion parameter calculator: Stand-alone version of SeismicDesign 4.0 software (does not require a network connection) |
Updated: 16 Apr 2012 G. Consolazio (grc@ce.ufl.edu)