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๐Ÿค™๐ŸผEarthquake Engineering Unit 3 Review

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3.1 Time history and response spectra representations

๐Ÿค™๐ŸผEarthquake Engineering
Unit 3 Review

3.1 Time history and response spectra representations

Written by the Fiveable Content Team โ€ข Last updated September 2025
Written by the Fiveable Content Team โ€ข Last updated September 2025
๐Ÿค™๐ŸผEarthquake Engineering
Unit & Topic Study Guides

Earthquake ground motions are complex, but time history records help us visualize them. These records show acceleration, velocity, and displacement over time, revealing key info about earthquake intensity and potential damage.

Response spectra simplify this data, showing how structures might react to shaking. They're crucial for designing earthquake-resistant buildings and assessing seismic hazards. Understanding both tools is key for effective earthquake engineering.

Time History Records and Response Spectra in Earthquake Engineering

Interpretation of earthquake ground motions

  • Time history records graphically represent ground motion over time including acceleration, velocity, and displacement components (seismographs)
  • Key characteristics encompass PGA, PGV, PGD, duration of strong motion, and frequency content reveal earthquake intensity and potential damage
  • Interpretation techniques identify arrival times of P-waves and S-waves, recognize site amplification effects, assess energy content through Arias Intensity
  • Influencing factors include earthquake magnitude, source-to-site distance, local site conditions (soil vs rock), fault mechanism (strike-slip, normal, reverse)

Concept of response spectra

  • Response spectrum graphs maximum response of SDOF systems against natural period or frequency for given ground motion
  • Types include displacement, velocity, and acceleration response spectra provide different insights into structural behavior
  • Applications span structural design, seismic hazard assessment, performance-based engineering inform building codes and retrofit strategies
  • Construction involves using time history records as input, calculating response for multiple SDOF systems, plotting maximum responses across periods

Elastic vs inelastic response spectra

  • Elastic spectra assume linear elastic behavior used for structures remaining in elastic range directly relate to forces and displacements
  • Inelastic spectra account for nonlinear behavior and energy dissipation used for structures expected to yield incorporate ductility and strength reduction factors
  • Key differences include shape and amplitude variations, influence of damping on spectral ordinates, applicability to different structural systems (steel vs concrete)
  • Inelastic response affected by hysteretic behavior of materials, ductility demand, strength reduction factor (R) determine building performance during strong shaking

Time history records vs response spectra

  • Connection links time domain (time history) to frequency domain (response spectra) compact representation of earthquake effects
  • Time history characteristics influence spectra PGA relates to spectral acceleration, duration affects spectral shape, frequency content determines spectral peaks
  • Limitations of spectra include loss of phase information, inability to capture duration effects important for liquefaction analysis
  • Methods generate time histories from spectra using spectral matching techniques, artificial time history generation for dynamic structural analysis
  • Combined analysis applications predict structural response, select ground motions for analysis, develop seismic codes and standards (ASCE 7, Eurocode 8)