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An Investigation of the Fundamental Period of Vibration of Irregular Steel Structures

Young, Kelly Christine

Abstract Details

2011, Master of Science, Ohio State University, Civil Engineering.
The determination of the fundamental period of vibration of a structure is essential to earthquake design. Current code equations (ASCE, 2010) provide formulas for the approximate period of earthquake-resistant building systems, which are dependent only on the height of the structure or number of stories. Such a formulation is overly conservative and unable to account for structures with geometric irregularities. This study investigated the fundamental periods of three different types of steel earthquake-resistant building structures: moment resisting frames (MRF), concentrically braced frames (CBF), and eccentrically braced frames (EBF) with varying geometric irregularities. A total of 24 MRFs, 12 CBFs, and 12 EBFs are designed and analyzed with ETABS v.9.7.2. The fundamental periods based on vibration theory for each example were compared with empirical equations, including current code equations as well as equations proposed in recent literature. Based on the results obtained from vibration theory (Rayleigh equation), equations for the approximate fundamental periods are put forth for MRFs, CBFs, and EBFs which take into account vertical and horizontal irregularities. Through statistical comparison, it was found that a 3-variable power model which is able to account for irregularities resulted in a better fit to the Rayleigh data than equations which were dependent on height only. The proposed equations were validated through a comparison of available measured period data. For braced frames, the proposed equations were also compared with a database of examples from literature. These proposed equations will allow design engineers to quickly and accurately estimate the fundamental period of MRF, CBF, and EBF structures by taking into account irregularities.
Hojjat Adeli, PhD (Advisor)
Shive Chaturvedi, PhD (Committee Member)
K.V. Balasubramanyam, PhD (Committee Member)
177 p.

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Citations

  • Young, K. C. (2011). An Investigation of the Fundamental Period of Vibration of Irregular Steel Structures [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1316473829

    APA Style (7th edition)

  • Young, Kelly. An Investigation of the Fundamental Period of Vibration of Irregular Steel Structures. 2011. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1316473829.

    MLA Style (8th edition)

  • Young, Kelly. "An Investigation of the Fundamental Period of Vibration of Irregular Steel Structures." Master's thesis, Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1316473829

    Chicago Manual of Style (17th edition)