NATURAL VIBRATION PERIOD EQUATION FROM MASS AND STIFNESS PARAMETERS


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Yiğit A., Erdil B., Akkaya İ.

6th International Conference on Earthquake Engineering and Seismology, Kocaeli, Türkiye, 13 - 15 Ekim 2021, cilt.1, ss.559-567

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1
  • Basıldığı Şehir: Kocaeli
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.559-567
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Natural period equation in earthquake codes of many countries is mostly given depending on the number of stories

or the height of the building. However, the calculation of the period considering only the height of the building,

or the number of stories may lead to faulty designs. It is well known that the period is related to mass and stiffness.

Mass can be considered equivalent to building weight. But the stiffness varies depending on the building

dimensions, dimensions and quantity of the vertical reinforced concrete elements, concrete material properties,

floor height, infill wall quantity and properties. In this study, natural vibration period equation including the factors

affecting the stiffness and mass of framed and/or shear walled buildings is developed. In the proposed equation,

height of the building, total vertical load carrying members including infill walls in the direction considered,

principal plan dimensions of the building and concrete compressive strength are taken into account. Predicted

natural vibration periods was firstly compared with the periods of the 23 buildings obtained from microtremor

measurements and RMS error was calculated as 0.045. Some of the microtremor measurements were recorded

from the strengthened buildings. It was found from the microtremor measurements that infill walls should be

considered in the dynamic analysis of the 3d models of the buildings. From this finding, additional 35 buildings

were considered and 3d modeled. Natural vibration periods were found after dynamic analysis, and they were

compared with the periods calculated from the proposed equations. The RMS error was found as 0.033. It was

realized that the proposed equation predicts natural vibration periods better than the available equations. Besides

it can predict periods of both principal directions of a typical building. As the equation considers the concrete

strength and the amount of the load carrying members in direction considered it can be utilized from frame

buildings to shear wall buildings.