Free Vibration of Tall Buildings using Energy Method and Hamilton’s Principle
Author(s): |
Peyman Rahgozar
|
---|---|
Medium: | journal article |
Language(s): | English |
Published in: | Civil Engineering Journal, 1 May 2020, n. 5, v. 6 |
Page(s): | 945-953 |
DOI: | 10.28991/cej-2020-03091519 |
Abstract: |
In a framed-tube tall building, shear wall systems are the most efficient structural systems for increasing the lateral load resistance. A novel and simple mathematical model is developed herein which calculates the natural frequencies of such tall buildings. The analyses are based on a continuous model, in which a tall building structure is replaced by an idealized cantilever beam that embodies all relevant structural characteristics. Governing equations and the corresponding eigen-problem are derived based on the energy method and Hamilton’s principle. Solutions are obtained for three examples; using the separation of variables technique implemented in MATLAB. The results are compared to SAP2000 full model analysis; and they indicate reasonable accuracy. The computed natural frequencies for structures 50, 60 and 70 storey buildings were over-estimate 7, 11 and 14 percent respectively. The computed errors indicate that the proposed method has acceptable accuracy; and can be used during the initial stages of designing of tall buildings; it is fast and low cost computational process. |
Copyright: | © 2020 Peyman Rahgozar, |
License: | This creative work has been published under the Creative Commons Attribution 4.0 International (CC-BY 4.0) license which allows copying, and redistribution as well as adaptation of the original work provided appropriate credit is given to the original author and the conditions of the license are met. |
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10421457 - Published on:
06/05/2020 - Last updated on:
02/06/2021