Reliability-Based Ductility Seismic Spectra of Structures with Tilting
A reliability-based methodology which uses structural demand hazard curves to consider the increment of the ductility demands of structures with tilting is proposed. The approach considers the effect of two orthogonal components of the ground motions as well as the influence of soil-structure interaction. The approach involves the calculation of ductility demand hazard curves for symmetric systems and, alternatively, for systems with different degrees of asymmetry. To get this objective, demand hazard curves corresponding to different global ductility demands of the systems are calculated. Next, Uniform Exceedance Rate Spectra (UERS) are developed for a specific mean annual rate of exceedance value. Ratios between UERS corresponding to asymmetric and to symmetric systems located in soft soil of the valley of Mexico are obtained. Results indicate that the ductility demands corresponding to tilted structures may be several times higher than those corresponding to symmetric structures, depending on several factors such as tilting angle and vibration period of structure and soil.
[1] Mexico City Building Code, “Complementary Technical Norms for
Earthquake Resistant Design”, Mexico City, 1987.
[2] Ruiz, S.E., Rosenblueth, E. and Diederich R., “The Mexico Earthquake
of September 19, 1985 – Seismic response of asymmetrically yielding
structures”, Earthquake Spectra, 5 (1), pp. 103-111, 1989.
[3] Ruiz, S.E., “Influence of intensity of motion on the seismic response of
structures with asymmetric force-deformation curves”, Earthquake
Engineering and Structural Dynamics, 20 (1), pp. 1-9, 1991.
[4] Terán-Gilmore, A., Juarez, H. and Frausto, M., “On the dynamic
response of regular structures exhibiting tilt”, Earthquake Engineering
and Structural Dynamics, 29 (9), pp. 1343-1374, 2000.
[5] Terán-Gilmore, A. and Arroyo-Espinoza, D., “Planteamiento de factores
de amplificación de resistencia para estructuras con asimetría en fluencia
(Approach about resistance amplification factors for structures with
asymmetric yielding)”, Revista de Ingeniería Sísmica, 72, pp. 81-106,
2005 (in Spanish).
[6] Ruiz, S.E., “Evaluating seismic reliability of building structures”,
Chapter of the book Earthquake Engineering, Honoring Luis Esteva,
ISBN: 970-32-3699-5. Ed.: J. J. Pérez Gavilán. Instituto de Ingeniería,
UNAM, 555-574, 2006.
[7] Rosenblueth, E., “Code specification of safety and serviceability”,
Conference Preprints Reports, International Conference on Planning and
Design of Tall Buildings, Technical committee 10, Lehigh University,
Bethlehem, Pennsylvania, 23-51, 1972.
[8] Cornell, C.A., “A probability-based structural code”, ACI Journal, 66
(12), 974-985, 1969.
[9] Galambos, T.V. and Ravindra, M.K., “Tentative load and resistance
factor design criteria for steel buildings”, Research Report 18, Structural
Division, Washington University, St. Louis, 1973.
[10] Cornell, C.A., “Calculating building seismic performance reliability: a
basis for multilevel design norms”, Proceedings, 11th World Conference
on Earthquake Engineering, Paper 2122, 5707-5712, 1996.
[11] Cornell, C.A., Jalayer, F., Hamburger, R.O. and Foutch, D.A., “The
probabilistic basis for the 2000 SAC/FEMA steel moment frame
guidelines”, Journal of Structural Engineering, ASCE, 128 (4), 526-533,
2002.
[12] Frangopol, D.M., “Structural optimization using reliability concepts”,
Journal of Sructural Engineering, ASCE, 111 (11), 2288-2301, 1985.
[13] Esteva, L., “Design general”, Chapter 3, “Design of earthquake resistant
structures”, ed. by E. Rosenblueth, Pentech Press, 1980.
[14] Esteva, L., “Bases para la formulación de decisiones de diseño sísmico
(Basis for decision-making for seismic design)”, PhD. Thesis, Facultad
de Ingeniería, Universidad Nacional Autónoma de México, 1968 (in
Spanish).
[15] Mexico City Building Code, “Complementary Technical Norms for
Earthquake Resistant Design”, Mexico City, 2004.
[1] Mexico City Building Code, “Complementary Technical Norms for
Earthquake Resistant Design”, Mexico City, 1987.
[2] Ruiz, S.E., Rosenblueth, E. and Diederich R., “The Mexico Earthquake
of September 19, 1985 – Seismic response of asymmetrically yielding
structures”, Earthquake Spectra, 5 (1), pp. 103-111, 1989.
[3] Ruiz, S.E., “Influence of intensity of motion on the seismic response of
structures with asymmetric force-deformation curves”, Earthquake
Engineering and Structural Dynamics, 20 (1), pp. 1-9, 1991.
[4] Terán-Gilmore, A., Juarez, H. and Frausto, M., “On the dynamic
response of regular structures exhibiting tilt”, Earthquake Engineering
and Structural Dynamics, 29 (9), pp. 1343-1374, 2000.
[5] Terán-Gilmore, A. and Arroyo-Espinoza, D., “Planteamiento de factores
de amplificación de resistencia para estructuras con asimetría en fluencia
(Approach about resistance amplification factors for structures with
asymmetric yielding)”, Revista de Ingeniería Sísmica, 72, pp. 81-106,
2005 (in Spanish).
[6] Ruiz, S.E., “Evaluating seismic reliability of building structures”,
Chapter of the book Earthquake Engineering, Honoring Luis Esteva,
ISBN: 970-32-3699-5. Ed.: J. J. Pérez Gavilán. Instituto de Ingeniería,
UNAM, 555-574, 2006.
[7] Rosenblueth, E., “Code specification of safety and serviceability”,
Conference Preprints Reports, International Conference on Planning and
Design of Tall Buildings, Technical committee 10, Lehigh University,
Bethlehem, Pennsylvania, 23-51, 1972.
[8] Cornell, C.A., “A probability-based structural code”, ACI Journal, 66
(12), 974-985, 1969.
[9] Galambos, T.V. and Ravindra, M.K., “Tentative load and resistance
factor design criteria for steel buildings”, Research Report 18, Structural
Division, Washington University, St. Louis, 1973.
[10] Cornell, C.A., “Calculating building seismic performance reliability: a
basis for multilevel design norms”, Proceedings, 11th World Conference
on Earthquake Engineering, Paper 2122, 5707-5712, 1996.
[11] Cornell, C.A., Jalayer, F., Hamburger, R.O. and Foutch, D.A., “The
probabilistic basis for the 2000 SAC/FEMA steel moment frame
guidelines”, Journal of Structural Engineering, ASCE, 128 (4), 526-533,
2002.
[12] Frangopol, D.M., “Structural optimization using reliability concepts”,
Journal of Sructural Engineering, ASCE, 111 (11), 2288-2301, 1985.
[13] Esteva, L., “Design general”, Chapter 3, “Design of earthquake resistant
structures”, ed. by E. Rosenblueth, Pentech Press, 1980.
[14] Esteva, L., “Bases para la formulación de decisiones de diseño sísmico
(Basis for decision-making for seismic design)”, PhD. Thesis, Facultad
de Ingeniería, Universidad Nacional Autónoma de México, 1968 (in
Spanish).
[15] Mexico City Building Code, “Complementary Technical Norms for
Earthquake Resistant Design”, Mexico City, 2004.
@article{"International Journal of Architectural, Civil and Construction Sciences:69820", author = "Federico Valenzuela-Beltran and Sonia E. Ruiz and Alfredo Reyes-Salazar and Juan Bojorquez", title = "Reliability-Based Ductility Seismic Spectra of Structures with Tilting", abstract = "A reliability-based methodology which uses structural demand hazard curves to consider the increment of the ductility demands of structures with tilting is proposed. The approach considers the effect of two orthogonal components of the ground motions as well as the influence of soil-structure interaction. The approach involves the calculation of ductility demand hazard curves for symmetric systems and, alternatively, for systems with different degrees of asymmetry. To get this objective, demand hazard curves corresponding to different global ductility demands of the systems are calculated. Next, Uniform Exceedance Rate Spectra (UERS) are developed for a specific mean annual rate of exceedance value. Ratios between UERS corresponding to asymmetric and to symmetric systems located in soft soil of the valley of Mexico are obtained. Results indicate that the ductility demands corresponding to tilted structures may be several times higher than those corresponding to symmetric structures, depending on several factors such as tilting angle and vibration period of structure and soil.
", keywords = "Asymmetric yielding, tilted structures, seismic
performance, structural reliability", volume = "9", number = "6", pages = "664-6", }
