An Optimized Method for Calculating the Linear and Nonlinear Response of SDOF System Subjected to an Arbitrary Base Excitation
Finding the linear and nonlinear responses of a typical single-degree-of-freedom system (SDOF) is always being regarded as a time-consuming process. This study attempts to provide modifications in the renowned Newmark method in order to make it more time efficient than it used to be and make it more accurate by modifying the system in its own non-linear state. The efficacy of the presented method is demonstrated by assigning three base excitations such as Tabas 1978, El Centro 1940, and MEXICO CITY/SCT 1985 earthquakes to a SDOF system, that is, SDOF, to compute the strength reduction factor, yield pseudo acceleration, and ductility factor.
[1] K. Chopra, Dynamics of Structures, 4th ed., vol. 1. Prentice Hall, 2012.
[2] Yaghmaei-Sabegh, Saman, and Jorge Ruiz-García. "Nonlinear response analysis of SDOF systems subjected to doublet earthquake ground motions: A case study on 2012 Varzaghan–Ahar events." Engineering Structures 110 (2016): 281-292.
[3] Andreaus, Ugo, and Maurizio De Angelis. "Nonlinear dynamic response of a base-excited SDOF oscillator with double-side unilateral constraints." Nonlinear Dynamics 84.3 (2016): 1447-1467.
[4] Miranda, Eduardo, and Vitelmo V. Bertero. "Evaluation of strength reduction factors for earthquake-resistant design." Earthquake spectra 10.2 (1994): 357-379.
[5] Biot, M. "Theory of elastic systems vibrating under transient impulse with an application to earthquake-proof buildings." Proceedings of the National Academy of Sciences 19, no. 2 (1933): 262-268.
[6] Kabir, Hossein. "Numerical Methods of Computing the Nonlinear Response of a Single-Degree-of-Freedom System Subjected to Earthquake Excitation", 2016.
[7] Pritchard, Philip J., and Robert Pritchard. MathCAD: A Tool for Engineering Problem Solving (BEST Series). McGraw-Hill Higher Education, 1998.
[8] Veletsos, A. S., and Nathan M. Newmark. "Effect of inelastic behavior on the response of simple systems to earthquake motions." In Proceedings of the 2nd world conference on earthquake engineering, vol. 2, pp. 895-912. 1960.
[9] Kabir, H., Sadeghi, M. (2017). 'Unconfined Strength of Nano Reactive Silica Sand Powder Concrete'. World Academy of Science, Engineering and Technology, International Science Index 123, International Journal of Civil, Environmental, Structural, Construction and Architectural Engineering, 11(3), 356 - 360.
[10] Kabir, H., Bakhshi, N., Bagheri, A. R., “An Experimental Investigation of Ultra-Fine Aggregate High Strength Concrete (UFAHSC)”, International Conference on Architecture, Structure and Civil Engineering (ICASCE'15), (2015): 8-13
[1] K. Chopra, Dynamics of Structures, 4th ed., vol. 1. Prentice Hall, 2012.
[2] Yaghmaei-Sabegh, Saman, and Jorge Ruiz-García. "Nonlinear response analysis of SDOF systems subjected to doublet earthquake ground motions: A case study on 2012 Varzaghan–Ahar events." Engineering Structures 110 (2016): 281-292.
[3] Andreaus, Ugo, and Maurizio De Angelis. "Nonlinear dynamic response of a base-excited SDOF oscillator with double-side unilateral constraints." Nonlinear Dynamics 84.3 (2016): 1447-1467.
[4] Miranda, Eduardo, and Vitelmo V. Bertero. "Evaluation of strength reduction factors for earthquake-resistant design." Earthquake spectra 10.2 (1994): 357-379.
[5] Biot, M. "Theory of elastic systems vibrating under transient impulse with an application to earthquake-proof buildings." Proceedings of the National Academy of Sciences 19, no. 2 (1933): 262-268.
[6] Kabir, Hossein. "Numerical Methods of Computing the Nonlinear Response of a Single-Degree-of-Freedom System Subjected to Earthquake Excitation", 2016.
[7] Pritchard, Philip J., and Robert Pritchard. MathCAD: A Tool for Engineering Problem Solving (BEST Series). McGraw-Hill Higher Education, 1998.
[8] Veletsos, A. S., and Nathan M. Newmark. "Effect of inelastic behavior on the response of simple systems to earthquake motions." In Proceedings of the 2nd world conference on earthquake engineering, vol. 2, pp. 895-912. 1960.
[9] Kabir, H., Sadeghi, M. (2017). 'Unconfined Strength of Nano Reactive Silica Sand Powder Concrete'. World Academy of Science, Engineering and Technology, International Science Index 123, International Journal of Civil, Environmental, Structural, Construction and Architectural Engineering, 11(3), 356 - 360.
[10] Kabir, H., Bakhshi, N., Bagheri, A. R., “An Experimental Investigation of Ultra-Fine Aggregate High Strength Concrete (UFAHSC)”, International Conference on Architecture, Structure and Civil Engineering (ICASCE'15), (2015): 8-13
@article{"International Journal of Architectural, Civil and Construction Sciences:75422", author = "Hossein Kabir and Mojtaba Sadeghi", title = "An Optimized Method for Calculating the Linear and Nonlinear Response of SDOF System Subjected to an Arbitrary Base Excitation", abstract = "Finding the linear and nonlinear responses of a typical single-degree-of-freedom system (SDOF) is always being regarded as a time-consuming process. This study attempts to provide modifications in the renowned Newmark method in order to make it more time efficient than it used to be and make it more accurate by modifying the system in its own non-linear state. The efficacy of the presented method is demonstrated by assigning three base excitations such as Tabas 1978, El Centro 1940, and MEXICO CITY/SCT 1985 earthquakes to a SDOF system, that is, SDOF, to compute the strength reduction factor, yield pseudo acceleration, and ductility factor.
", keywords = "Single-degree-of-freedom system, linear acceleration method, nonlinear excited system, equivalent displacement method.", volume = "11", number = "3", pages = "380-6", }
