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Winkler Model을 적용한 얕은 기초 다자유도 구조물의 지진응답

Seismic Response of MDOF Structure with Shallow Foundation Using Winkler Model

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초록

This study investigated the impact of soil-structure interaction on multi-degree-of-freedom structures using the shallow-foundation Winkler model, known as the BNWF model. The model’s period was determined through eigenvalue analysis and compared to results obtained from FEMA’s formula. Results indicated that considering the soil, the structure’s period increased by up to 8.7% compared to the fixed-base model, aligning with FEMA’s calculations. Furthermore, with adequate ground acceleration, roof displacement increased by 3.4% to 3.8%, while base shear decreased by 4% to 10%. However, roof displacement and base shear increased in some earthquake scenarios due to spectral shape effects in regions with extended structural periods. Foundation damping effects, determined through the foundation’s moment-rotation history, grew with higher ground acceleration. This suggests that accounting for period elongation and foundation damping can enhance the seismic design of multi-degree-of-freedom structures.

Abstract

This study investigated the impact of soil-structure interaction on multi-degree-of-freedom structures using the shallow-foundation Winkler model, known as the BNWF model. The model’s period was determined through eigenvalue analysis and compared to results obtained from FEMA’s formula. Results indicated that considering the soil, the structure’s period increased by up to 8.7% compared to the fixed-base model, aligning with FEMA’s calculations. Furthermore, with adequate ground acceleration, roof displacement increased by 3.4% to 3.8%, while base shear decreased by 4% to 10%. However, roof displacement and base shear increased in some earthquake scenarios due to spectral shape effects in regions with extended structural periods. Foundation damping effects, determined through the foundation’s moment-rotation history, grew with higher ground acceleration. This suggests that accounting for period elongation and foundation damping can enhance the seismic design of multi-degree-of-freedom structures.

참고문헌 (9)

  1. Improvement of Nonlinear Static Seismic Analysis Procedures. FEMA 440, "Federal Emergency Management Agency", 390~ (2005)
  2. Prestandard and commentary for the seismic rehabelitation of Buildings. FEMA 356, "Federal Emergency Management Agency", 1036~ (2000)
  3. McClelland B, "Soil modulus for laterally load piles", Trans. Am Soc Civ Eng, 123(1), pp.1049~1086 (1958)
  4. Numerical Models for Analysis and Performance-Based Design of Shallow Foundations Subjected to Seismic Loading, "Sivapalan G", Pacific Earthquake Engineering Research Center, 166~ (2008)
  5. Jenifer Priyanka RM, "Studies on Soil Structure Interaction of Multi Storeyed Buildings with Rigid and Flexible Foundation", International Journal of Emerging Technology and Advanced Engineering, 2(12), pp.111~118 (2012)
  6. Mitropoulou C, "Influence of soil–structure interaction on fragility assessment of building structures", Structures, 6, pp.85~98 (2016)
  7. Meyerhof GG, "The ultimate bearing capacity of foundations", Geotechnique, 2(4), pp.301~332 (1963)
  8. Seismic evaluation and retrofit of concrete buildings, , Applied Technology Council (ATC), ~ (1996)
  9. Gazetas, "Formulas and charts for impedances of surface and embedded foundations", Journal of geotechnical engineering, 117(9), pp.1363~1381 (1991)

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