I.J. Intelligent Systems and Applications, 2019, 10, 42-53
Published Online October 2019 in MECS (http://www.mecs-press.org/)
DOI: 10.5815/ijisa.2019.10.05
Copyright © 2019 MECS I.J. Intelligent Systems and Applications, 2019, 10, 42-53
Prediction of Performance Point of Semi-Rigid
Steel Frames Using Artificial Neural Networks
Zahra Bahmani
a
a
Department of Computer Engineering, Behbahan Khatam Alanbia University of Technology, Behbahan, Iran
E-mail: zahra.bahmani2009@gmail.com
Mohammad R. Ghasemi
b
b
Department of Civil Engineering, University of Sistan and Baluchestan, Zahedan, Iran
E-mail: mrghasemi@eng.usb.ac.ir.
Seyed S. Mousaviamjad
c
c
Department of Civil Engineering, Yazd University, Yazd, Iran
E-mail: sajad.mousavi.amjad@gmail.com
Sadjad Gharehbaghi
d
d
Department of Civil Engineering, Behbahan Khatam Alanbia University of Technology, Behbahan, Iran
E-mail: sgharehbaghi@bkatu.ac.ir
Received: 19 April 2019; Accepted: 07 June 2019; Published: 08 October 2019
Abstract—One of the main steps in the performance
based seismic analysis and design of structures is
determination of performance point where the nonlinear
static analysis approach is used. The aim of this paper is
to predict the performance point of semi-rigid steel
frames using Artificial Neural Networks. As such, to
generate data required for the prediction, several semi-
rigid steel frames were modeled and their performance
point was determined then. Ten input variables including
number of bays, number of stories, bays width, moment
of inertia of beams, cross sectional area of columns, cross
sectional area of braces, rigidity degree of connections
and soft story (existence or nonexistence) were
considered in the prediction. In addition, the actual results
were obtained at the presence of different earthquake
intensity levels and soil types. Back Propagation with
eleven different algorithms and Radial Basis Function
Artificial Neural Networks were used in the prediction.
The prediction process was carried out in two steps. In
the first step, all samples were used for the prediction and
the performance metrics were computed. In the second
step, three of the best networks were selected, and the
optimum number of samples was found considering a
very slight reduction in the accuracy of the networks used.
Finally, it was shown that, despite using rather limited
number of samples, the generated Artificial Neural
Networks accurately predict the performance point of
semi-rigid steel frames.
Index Terms—Artificial neural networks, prediction,
semi-rigid connection, steel structures, performance point.
I. INTRODUCTION
Past destructive earthquakes (e.g. 1989 Loma Prieta;
1990 Manjil-Rudbar; 1994 Northridge) have left their
signature below the documents of the economical and life
losses reported then. In accordance with the seismic
design codes, some degree of damage is expected for
ordinary buildings subjected to design basis earthquakes.
Although preventing the natural earthquake occurrence is
beyond the human control, the ways of mitigating such
losses have been the enforced interest of researchers and
engineering communities. The inappropriate performance
of structures under the past destructive earthquakes
caused the communities to eliminate the unexpected
losses then. One of the modern methodologies gaining
significant attention is the performance-based seismic
design (PBSD) [1]. Over the last 30 years, the conceptual
framework of PBSD was developed by the various
guidelines published by the well-known engineering
associations such as Structural Engineers Association of
California [2], Applied Technology Council [3], and
Federal Emergency Manage Agency [4].
Conceptually, it is expected to have different seismic
performance levels of structures due to various structural
seismic behaviors and hazard levels. Because of this, the
abovementioned guidelines have introduced different
seismic performance levels (or objectives) corresponding
to the different hazard levels and thus, each structure of
interest should be evaluated based on its relevant
performances and hazard levels. Based on the studies so