A Simple Mathematical Method for Optimal Preliminary Design of Tall Buildings with Peak Lateral Deflection Constraint

The classic methods of structural design based on trial-and-error are generally highly iterative and computationally intensive, especially in a tall building consisting of thousands of structural members. This paper presents a closed-form solution for a minimum weight design problem which may be used at the early-stage design of a high-rise and slender structure. Before considering the weight-based problem, an intervening optimization formulation is introduced in advance which for a fixed amount of material presents an optimal pattern for its distribution. The obtained pattern is then used in the main problem, in which the total weight is considered as the objective function while satisfying the peak lateral deflection constraint and some practical requirements. The flexural stiffness in its general form is selected here as the design variable, so the proposed method is not restricted to a particular system, and any structural system may be addressed. A braced-tube 61-storey building example is presented to be designed based on the proposed technique to illustrate the effectiveness and practicality of the method.

[1]  C. C. Pouangare,et al.  Simple Model for Design of Framed‐Tube Structures , 1991 .

[2]  Reza Rahgozar,et al.  Dynamic analysis of combined system of framed tube and shear walls by Galerkin method using B‐spline functions , 2015 .

[3]  Hojjat Adeli,et al.  Advances in optimization of highrise building structures , 2014 .

[4]  Kaiqiang Ma,et al.  Calculation model of the lateral stiffness of high‐rise diagrid tube structures based on the modular method , 2017 .

[5]  Kenny C. S Kwok,et al.  Integrated wind load analysis and stiffness optimization of tall buildings with 3D modes , 2010 .

[6]  Reza Rahgozar,et al.  A simple analytic method for computing the natural frequencies and mode shapes of tall buildings , 2012 .

[7]  A. R. Ahmadi,et al.  Parametric stress distribution and displacement functions for tall buildings under lateral loads , 2014 .

[8]  A. R. Ahmadi,et al.  A simple mathematical model for approximate analysis of tall buildings , 2010 .

[9]  Jerome J. Connor,et al.  Diagrid structural systems for tall buildings: characteristics and methodology for preliminary design , 2007 .

[10]  Glaucio H. Paulino,et al.  Application of layout and topology optimization using pattern gradation for the conceptual design of buildings , 2011 .

[11]  Giuseppe Brandonisio,et al.  Design criteria for diagrid tall buildings: Stiffness versus strength , 2014 .

[12]  Akh Kwan.  Simple Method for Approximate Analysis of Framed Tube Structures , 1994 .

[13]  Anders Klarbring,et al.  An Introduction to Structural Optimization , 2008 .

[14]  P. Torkzadeh,et al.  Optimal design of high-rise buildings with respect to fundamental eigenfrequency , 2017 .

[15]  Kyoung Sun Moon,et al.  Stiffness-based design methodology for steel braced tube structures: A sustainable approach , 2010 .

[16]  Reza Rahgozar,et al.  A continuous–discrete approach for evaluation of natural frequencies and mode shapes of high-rise buildings , 2016 .

[17]  Reza Rahgozar,et al.  An analytical model for dynamic response analysis of tubular tall buildings , 2014 .