IJE TRANSACTIONS B: Applications Vol. 30, No. 11 (November 2017) 1664-1672   

downloaded Downloaded: 107   viewed Viewed: 1618

R. Rahgozar, A. Alavi and P. Torkzadeh
( Received: April 09, 2017 – Accepted in Revised Form: September 08, 2017 )

Abstract    A parametric formulation for preliminary design of tubed-system tall buildings is presented in which some optimality criteria and practical constraints are considered. Here, a minimum compliance optimization formulation, developed by other researchers, is applied to a framed-tube structure. The tube behavior is modeled as a cantilevered box beam. Independent variable in this problem is thickness of the box, and a formulation for its optimal value is proposed. The challenge in this research was treatment of the lower bound constraint on thickness in an analytical manner. To deal with this constraint, a critical height parameter is introduced, and the design domain is divided into two zones of constant thickness and constant curvature. This definition allows for computation of optimal thickness distribution along the structure through an analytic dimensionless equation. Most of the previously published papers in the field of tall structures are suitable for abstract analyses but not for design. In addition, most of them are computer-based. Considering these limitations, the current research presents a hand-calculation method for preliminary design, suitable for sensitivity analyses and parametric studies. As the presented formulations are dimensionless, they are applicable in any dimensional system. Different static loading patterns are considered; including the concentrated, uniform, triangular and quadratic forms. A numerical example is presented to demonstrate the ease of the proposed method in application, and the analysis results are presented by charts to validate the efficiency of it.


Keywords    Structural Optimization, Tall Building, Tube System, Stiffness Distribution, Preliminary Design


چکیده    یک فرمولبندی پارامتریک جهت طراحی سیستمهای لوله‌ای در سازه‌های بلند، با در نظر گرفتن بعضی‌ معیارهای بهینه‌سازی و قیود کاربردی، ارائه شده است. مساله مینیمم‌سازی نرمی، که قبلاً توسط بعضی‌ محققین ارائه شده است، بر یک سیستم لوله‌ای اعمال می‌شود. رفتار سازه به صورت یک کنسول با مقطع قوطی مدل خواهد شد. متغییر مستقل در این فرمولبندی ضخامت قوطی معادل انتخاب شده است و مقدار بهینه آن‌ ارائه خواهد شد. چالش پیش‌رو در این تحقیق حل مساله مقید به قید حداقل ضخامت، با یک رویکرد تحلیلی، بوده است. در برخورد با این قید، پارامتری به نام ارتفاع بحرانی معرفی شده است که محدوده طراحی را به دو ناحیه‌‌ ضخامت یکنواخت و انحنا یکنواخت تقسیم می‌کند. استفاده از این پارامترها امکان محاسبه ضخامت بهینه در ارتفاع سازه را در قالب یک فرمولبندی تحلیلی و بی‌بعد فراهم خواهد کرد. بیشتر مقالات گذشته در زمینه سازه‌های بلند برای تحلیل مناسب هستند نه طراحی. به علاوه بیشتر آنها مبنای کامپیوتری دارند. با در نظر گرفتن این محدودیت‌ها در این تحقیق یک روش دستی جهت طراحی اولیه ارایه می‌گردد که تحلیل حساسیت و مطالعه پارامتریک را نیز میسر می‌کند. از آنجا که فرمول‌های ارایه شده بی‌بعد هستند، استفاده از آنها در هر سیستم ابعادی امکان‌پذیر است. الگوهای بارگذاری استاتیکی مختلفی‌ شامل بارگذاری متمرکز، یکنواخت، مثلثی و درجه دو مدنظر قرار گرفته‌اند. جهت نشان دادن سادگی‌ روش پیشنهاد شده، یک مثال عددی ارائه شده است و برای صحت سنجی روش، نتایج تحلیل توسط چند نمودار ارائه خواهد شد.


1.      Sarkisian, M., "Designing tall buildings: Structure as architecture, Routledge,  (2016).

2.      Aldwaik, M. and Adeli, H., "Advances in optimization of highrise building structures", Structural and Multidisciplinary Optimization,  Vol. 50, No. 6, (2014), 899-919.

3.      Jayachandran, P., "Design of tall buildings preliminary design and optimization", in National Workshop on High-rise and Tall buildings, University of Hyderabad, India., (2009).

4.      Kwan, A., "Simple method for approximate analysis of framed tube structures", Journal of Structural Engineering,  Vol. 120, No. 4, (1994), 1221-1239.

5.      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, No. 2, (2008), 401-418.

6.      Rahgozar, R., Ahmadi, A.R. and Sharifi, Y., "A simple mathematical model for approximate analysis of tall buildings", Applied Mathematical Modelling,  Vol. 34, No. 9, (2010), 2437-2451.

7.      Rahgozar, R., Ahmadi, A.R., Hosseini, O. and Malekinejad, M., "A simple mathematical model for static analysis of tall buildings with two outrigger-belt truss systems", Structural Engineering and Mechanics,  Vol. 40, No. 1, (2011), 65-84.

8.      Malekinejad, M. and Rahgozar, R., "A closed form solution for free vibration analysis of tube-in-tube systems in tall buildings", International Journal of Engineering-Transactions A: Basics,  Vol. 25, No. 2, (2011), 107-115.

9.      Malekinejad, M. and Rahgozar, R., "A simple analytic method for computing the natural frequencies and mode shapes of tall buildings", Applied Mathematical Modelling,  Vol. 36, No. 8, (2012), 3419-3432.

10.    Jahanshahi, M., Rahgozar, R. and Malekinejad, M., "A simple approach to static analysis of tall buildings with a combined tube-in-tube and outrigger-belt truss system subjected to lateral loading", International Journal of Engineering,  Vol. 25, No. 3, (2012), 289-299.

11.    Jahanshahi, M. and Rahgozar, R., "Optimum location of outrigger-belt truss in tall buildings based on maximization of the belt truss strain energy", International Journal of Applied Sciences, Engineering and Management, IJE Transactions A: Basics,  Vol. 26, No. 7, (2013), 693-700.

12.    Connor, J. and Pouangare, C., "Simple model for design of framed-tube structures", Journal of Structural Engineering,  Vol. 117, No. 12, (1991), 3623-3644.

13.    Moon, K.S., Connor, J.J. and Fernandez, J.E., "Diagrid structural systems for tall buildings: Characteristics and methodology for preliminary design", The Structural Design of Tall and Special Buildings,  Vol. 16, No. 2, (2007), 205-230.

14.    Moon, K.S., "Optimal configuration of structural systems for tall buildings",   in   20th   Analysis   and    Computation   Specialty

Conference., (2012), 300-309.

15.    Connor, J. and Laflamme, S., "Structural motion engineering, Springer,  (2014).

16.    Chan, C.M., Huang, M. and Kwok, K.C., "Integrated wind load analysis and stiffness optimization of tall buildings with 3d modes", Engineering structures,  Vol. 32, No. 5, (2010), 1252-1261.

17.    Stromberg, L.L., Beghini, A., Baker, W.F. and Paulino, G.H., "Application of layout and topology optimization using pattern gradation for the conceptual design of buildings", Structural and Multidisciplinary Optimization,  Vol. 43, No. 2, (2011), 165-180.

18.    Lee, S., Bobby, S., Spence, S., Tovar, A. and Kareem, A., "Shape and topology sculpting of tall buildings under aerodynamic loads", in 20th Analysis and Computation Specialty Conference., (2012), 323-334.

19.    Smith, B.S., Coull, A. and Stafford-Smith, B.S., "Tall building structures: Analysis and design, Wiley New York,  Vol. 5,  (1991).

20.    Khan, A. and Smith, B.S., "A simple method of analysis for deflection and stresses in wall-frame structures", Building and Environment,  Vol. 11, No. 1, (1976), 69-78.

21.    Bazant, Z.P. and Christensen, M., "Discussion of simplified analysis of framed-tube structures by alexander coull and bishwanath bose", Journal of the Structural Division,  Vol. 102, No. 61285-1285.

22.    Coull, A. and Ahmed, A.K., "Deflections of framed-tube structures", Journal of the Structural Division,  Vol. 104, No. 5, (1978), 857-862.

23.    Christensen, P.W. and Klarbring, A., "An introduction to structural optimization, Springer Science & Business Media,  Vol. 153,  (2008).

24.    Omidvari, A. and Hematiyan, M., "Approximate closed-form formulae for buckling analysis of rectangular tubes under torsion", International Journal of Engineering-Transactions B: Applications,  Vol. 28, No. 8, (2015), 1226-1232.

25.             nonlinear Version, E., "9.1. 6, extended 3d analysis of the building systems", Computer and Structures.

International Journal of Engineering
E-mail: office@ije.ir
Web Site: http://www.ije.ir