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Minimum‐weight design of high‐rise structures subjected to flexural vibration at a desired natural frequency
Author(s) -
Alavi Arsalan,
Rahgozar Peyman,
Rahgozar Reza
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.1515
Subject(s) - natural frequency , vibration , parametric statistics , structural engineering , fundamental frequency , displacement (psychology) , stiffness , simple (philosophy) , flexural strength , bending , minimum weight , mathematics , mathematical optimization , computer science , mathematical analysis , engineering , physics , acoustics , psychology , philosophy , statistics , epistemology , psychotherapist
Summary In this paper, a parametric approach for design of high‐rise structures subjected to flexural vibration is proposed. The optimization problem is formed based on a preselected value for the fundamental natural frequency, and it is formulated for minimum structural weight. In a two‐step approach, first, an alternative formulation aimed at maximizing structural stiffness that in turn maximizes structure's fundamental frequency is introduced. Then, optimized results are used in obtaining a closed‐form solution of the actual problem. Because the resulting equations are rather complicated, approximate forms are developed in order to simplify the design process. In all relations, contributions from shear forces to lateral displacement are assumed to be negligible; hence, bending resistance is the only design variable, and its optimal value is computable using simple relations. Two numerical examples are presented in order to illustrate the efficiency of this method in practice.