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A new method for frequency constrained structural optimization of tall buildings under wind loads
Author(s) -
Fu JiYang,
Wu BenGang,
Xu An,
Wu JiuRong,
Pi YongLin
Publication year - 2018
Publication title -
the structural design of tall and special buildings
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.895
H-Index - 43
eISSN - 1541-7808
pISSN - 1541-7794
DOI - 10.1002/tal.1549
Subject(s) - constraint (computer aided design) , lagrange multiplier , mathematical optimization , sensitivity (control systems) , sequential quadratic programming , optimal design , eigenvalues and eigenvectors , constrained optimization , quadratic programming , mathematics , quadratic equation , computer science , engineering , geometry , statistics , physics , quantum mechanics , electronic engineering
Summary Tall buildings are usually sensitive to wind loads, and effective and accurate methods for the wind‐resistant structural optimal design of tall buildings have become a widely concerned problem. Conventionally, the frequency constraint for the structural optimal design of a tall building is formulated through the strain energy method, and with the objective functions and constraint functions being established, the structural optimization problem is mathematically modeled, and the corresponding solution is solved using the optimal criteria (OC) method. This procedure has two disadvantages. First, the strain energy usually does not consider the gradient of the structural internal forces to the design variables, and so the computed sensitivity of the frequency constraint is inaccurate. Second, in the OC method, the Lagrangian multipliers are computed by solving a set of linear equations using the Gauss–Seidel method, which may lead to inaccurate results. To overcome these disadvantages, a new method is proposed by using an eigenvalue approach for computing the sensitivity of the frequency constraint and a quadratic programming approach for computing the Lagrangian multipliers. It is shown that the proposed new method can perform accurate wind‐resistant structural optimal design for tall buildings and make the iterations of the optimal design converge faster and more stable.