Earthquakes and Structures

  • 제2권1호
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  • Pages.89-107
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  • 2011
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  • 2092-7614(pISSN)
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  • 2092-7622(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Free vibration analysis of tall buildings with outrigger-belt truss system

  • 투고 : 2010.06.29
  • 심사 : 2010.10.22
  • 발행 : 2011.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper a simple mathematical model is presented for estimating the natural frequencies and corresponding mode shapes of a tall building with outrigger-belt truss system. For this purposes an equivalent continuum system is analyzed in which a tall building structure is replaced by an idealized cantilever continuum beam representing the structural characteristics. The equivalent system is comprised of a cantilever shear beam in parallel to a cantilever flexural beam that is constrained by a rotational spring at outrigger-belt truss location. The mathematical modeling and the derivation of the equation of motion are given for the cantilevers with identically paralleled and rotational spring. The equation of motion and the associated boundary conditions are analytically obtained by using Hamilton's variational principle. After obtaining non-trivial solution of the eigensystem, the resulting is used to determine the natural frequencies and associated mode shapes of free vibration analysis. A numerical example for a 40 story tall building has been solved with proposed method and finite element method. The results of the proposed mathematical model have good adaptation with those obtained from finite element analysis. Proposed model is practically suitable for quick evaluations during the preliminary design stages.

키워드

참고문헌

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피인용 문헌

  1. Approximating Frequencies of Tall Buildings vol.139, pp.2, 2013, https://doi.org/10.1061/(ASCE)ST.1943-541X.0000656
  2. Dynamic analysis of combined system of framed tube and shear walls by Galerkin method using B-spline functions vol.24, pp.8, 2015, https://doi.org/10.1002/tal.1201
  3. Free vibration analysis of combined system with variable cross section in tall buildings vol.42, pp.5, 2012, https://doi.org/10.12989/sem.2012.42.5.715
  4. Generalized finite element analysis of high-rise wall-frame structural systems vol.34, pp.1, 2017, https://doi.org/10.1108/EC-07-2016-0266
  5. A continuous–discrete approach for evaluation of natural frequencies and mode shapes of high-rise buildings vol.8, pp.3, 2016, https://doi.org/10.1007/s40091-016-0129-6
  6. A simple mathematical model for static analysis of tall buildings with two outrigger-belt truss systems vol.40, pp.1, 2011, https://doi.org/10.12989/sem.2011.40.1.065
  7. Free vibration analysis of asymmetric shear wall-frame buildings using modified finite element-transfer matrix method vol.46, pp.1, 2011, https://doi.org/10.12989/sem.2013.46.1.001
  8. Experimental studies into a new type of hybrid outrigger system with metal dampers vol.64, pp.2, 2017, https://doi.org/10.12989/sem.2017.64.2.183
  9. Studies on damped hybrid outrigger systems of composite walls and steel bracings vol.172, pp.7, 2011, https://doi.org/10.1680/jstbu.17.00047
  10. Outrigger and Belt-Truss System Design for High-Rise Buildings: A Comprehensive Review Part II-Guideline for Optimum Topology and Size Design vol.2020, pp.None, 2020, https://doi.org/10.1155/2020/2589735