Dynamic Response Analysis of Tall Buildings under Axial Force Effects

مهندسی عمران فردوسی

Article 3, Volume 31, Issue 2 - Serial Number 22, May 2018, Pages 41-56   

Document Type: پژوهشی

DOI: 10.22067/civil.v31i2.56550

Authors

mehrdad mohammadnejad^{* 1}; hasan haji kazemi²

¹-

²ferdowsi university of mashhad

Abstract

In this paper, weak form integral equations is presented for dynamic response analysis of tall structures with variable stiffness and mass along the height under axial force. Through repetitive integration, the governing differential equation is converted into its weak form integral equation. The tall structure is modeled by a non-prismatic cantilever beam. By approximation of the mode shape function by a power series, the integral equation is converted into a system of linear algebraic equations. The natural frequencies of tall structure are calculated by determination of a non-trivial solution for system of equations. The analysis results are compared by those obtained from SAP-2000 software and other available references.

Keywords

Tall Structure; Shear-Bending beam; Weak form integral equation; Axial force; Natural Frequency

Supplementary Files

3-hajikazemi-Edited.pdf

References

Kazaz, İ. and Gülkan P., "An Alternative Frame-shear Wall Model: Continuum Formulation", Struct. Design Tall Spec. Build., Vol. 21, pp. 524–542, (2012).

2. Park, YK, Kim, HS. and Lee, DG., "Efficient Structural Analysis of Wall–frame Structures", Struct. Design Tall Spec. Build., Vol. 23, pp. 740–759, (2014).

3. Rahgozar, R., Mahmoudzadeh, Z. and Malekinejad, M., "Dynamic Analysis of Combined System of Framed Tube and Shear Walls by Galerkin Method Using B-spline Functions", The Structural Design of Tall and Special Buildings, DOI: 10.1002/tal.1201. (2014).

4. Kamgar, R. and Saadatpour, MM., "A Simple Mathematical Model for Free Vibration Analysis of Combined System Consisting of Framed Tube, Shear Core, Belt Truss and Outrigger System with Geometrical Discontinuities", Journal of Applied Mathematical Modeling, Vol. 36, pp. 4918–30, (2012).

5. Malekinejad, M. and Rahgozar, R., "A Simple Analytic Method for Computing the Natural Frequencies and Mode Shapes of Tall Buildings", Journal of Applied Mathematical Modeling, Vol. 36, pp. 3419–32, (2012).

6. Malekinejad, M. and Rahgozar, R., "An Analytical Model for Dynamic Response Analysis of Tubular Tall Buildings", The Structural Design of Tall and Special Buildings, Vol. 23, pp. 67-80, (2014).

7. Zalka, KA., "Torsional Analysis of Multi-storey Building Structures under Horizontal Load", Struct. Design Tall Spec. Build., Vol. 22, pp. 126–43, (2013).

8. Mohammadnejad, M., "A New Analytical Approach for Determination of Flexural, Axial and Torsional Natural Frequencies of Beams", Structural Engineering and Mechanics an International Journal, Vol. 55, pp. 655-674, (2015).

9. Mohammadnejad, M., Saffari, H. and Bagheripour, MH., "An Analytical Approach to Vibration Analysis of Beams with Variable Properties", Arabian Journal for Science and Engineering, Vol. 39, pp. 2561-2572, (2014).

10. Saffari, H. and Mohammadnejad, M., "On the application of weak form integral equations to free vibration analysis of tall structures", Asian Journal of Civil Engineering (BHRC), Vol. 16, pp. 977-999, (2015).

11. Saffari, H., Mohammadnejad, M. and Bagheripour, MH., "Free vibration analysis of non-prismatic beams under variable axial forces", Structural Engineering and Mechanics An International Journal, Vol. 43, pp. 561-82, (2012).

12. Lee, WH., "Free vibration analysis for tube-in-tube tall buildings", J. Sound Vib., Vol. 303, pp. 287–304, (2007).

13. Kaviani, P., Rahgozar, R. and Saffari, H., "Approximate analysis of tall buildings using sandwich beam models with variable cross section", The Structural Design of Tall and Special Buildings, Vol. 17, pp. 401-418, (2008).

14. Tarjan, G. and Kollar, LP., "Approximate analysis of building structures with identical stories subjected to earthquakes", International Journal of Solids and Structures, Vol. 41, pp. 1411–1433, (2004).

15. Potzta, G. and Kollar, LP., "Analysis of building structures by replacement sandwich beams", International journal of solid and structures, Vol. 40, pp. 535-553, (2003).

16. Li, QS., Fang, JQ. And Jeary, AP., "Free vibration analysis of cantilevered tall structures under various axial loads", Journal of Engineering Structures, Vol. 22, pp. 525-534, (2000).

17. Lee, J., Bang, M. and Kim, JY., "An analytical model for high-rise wall-frame structures with outriggers", The Structural Design of Tall and Special Buildings., Vol. 17, pp. 839–851, (2008).

18. Kwan, AKH., "Simple method for approximate analysis of framed tube structures", Journal of Structural Engineering., Vol. 120, pp. 1221–1239, (1994).

19. Stafford Smith, B. and Coull, A., "Tall Building Structures: Analysis and Design", Wiley, New York, (1991).

20. Taranath, BS., "Structural Analysis and Design of Tall Buildings", McGraw-Hill, New York, (1988).

21. Bozdogan, KB., "An approximate method for static and dynamic analysis of symmetric wall-frame buildings", The Structural Design of Tall and Special Buildings, Vol. 18, pp. 279–290, (2009).

22. Li, QS., "A new exact approach for determining natural frequencies and mode shapes of non-uniform shear beams with arbitrary distribution of mass or stiffness", International Journal of Solids and Structures, Vol. 37, pp. 5123-41, (2000).

23. Kamgar, R. and Rahgozar, R. "A simple approximate method for free vibration analysis of framed tube structures", The Structural Design of Tall and Special Buildings, Vol. 22, pp. 217-234, doi:10.1002/tal.680, (2013).

24. Clough, RW. and Penzien, J., "Dynamics of Structures", McGraw-Hill Book Company, New York, (1975).

25. Chopra, AK., "Dynamics of Structures Theory and Application to Earthquake Engineering", Prentice Hall, New Jersey, (1995).