Theoretical model and probability-based method for assessing fundamental periods of framed SPSW buildings


Advances in construction techniques have enabled the use of steel frames filled with steel plates that improve the lateral stiffness and foundation capacity; particularly for seismic design of middle and high-rise buildings. To be precise, steel plate shear walls (SPSW) have in recent years become the primary lateral force resisting system (LFRS) credit to their advantages; i.e. high initial stiffness, good ductility, strong seismic resistance and simple connection. Generally, the SPSW presents a light weight system (reduced gravity load) that can effectively cater for adequate seismic design at reduced foundation cost. To date, numerous numerical and experimental studies have been carried out on several types of SPSW. Regardless, the structural damage and collapse of steel frames under the action of earthquake are gradually revealed. More so, the observed behavior of steel frames is quite different from the prediction of code design. This can be attributed to the fact that even though most of steel frame structures conform to the conceptual seismic design guidelines, there are variabilities in engineering design due to simplified processing and subjective decision making in the design procedure. Consequently, systematic evaluation of steel frame structures, comprehension of structural performance characteristics, and prediction of structural seismic performance at different hazard levels still require significant effort.

Recent research has revealed that fundamental period is an important parameter for determining the spectral acceleration of building structures, which can be used for determining the seismic response modification factor. As such, empirical methods and theoretical methods of fundamental period prediction based on the basic theory of engineering mechanics have been developed. Unfortunately, the applicability of such methods in engineering design has not been demonstrated. To this note, researchers from the Central South University, China: Rui Jiang, Professor. Liqiang Jiang, Dr. Yi Hu and Professor Lizhong Jiang, together with Professor Jihong Ye at the China University of Mining and Technology developed a simplified method for the period prediction of SPSW structures based on the basic theory of engineering mechanics. Their work is currently published in the research journal, The Structural Design of Tall and Special Buildings.

In their approach, the theoretical model of SPSW structure was developed based on an acknowledged methodology on steel frames and braced steel frames. The research team incorporated the shear-flexure deformation characteristic of the SPSWs and structural configuration into their model. The periods predicted by the theoretical method were compared with the FEM results in literatures, and a correction factor was proposed via fitting analyses. Lastly, the team evaluated the effectiveness and practicability of the proposed method by comparisons with several existing methods for SPSW structural period prediction.

The authors reported that the proposed approach had several advantages: i.e. first, it could be calculated by hand. Second, the finite element (FE) model and the vibration analysis were not necessary, thus it is good for engineering practice in comparison to other FE methods. Third, it considered the configurations of the steel frame as well as the SPSWs, thus the results were more accurate in comparison with the simple calculations proposed in the standards.

In summary, the study presented a simplified theoretical method for predicting the fundamental period of SPSW structures. The presented methodology considered not only the stiffness and configuration of the steel frame, but also the shear-flexure behavior of the SPSWs. Further, the effects of the amount of SPSWs, the bay length, and the stiffness of beams, columns and the SPSWs were captured by some parameters in the proposed method. In a statement to Advances in Engineering, Professor Liqiang Jiang, the corresponding author highlighted that a confidence interval estimation could be determined via their approach according to the demand of structural design.

Theoretical model and probability-based method for assessing fundamental periods of framed SPSW buildings - Advances in Engineering Theoretical model and probability-based method for assessing fundamental periods of framed SPSW buildings - Advances in Engineering

About the author

Liqiang Jiang is currently an associate professor of civil engineering in Central South University, China. He received his Ph.D. from Southeast University. He is also the member of the 8th International Conference on Seismology and Earthquake Engineering (SEE8) of International Institute of Earthquake Engineering and Seismology (IIEES), the associate member of the American Society of Civil Engineering (A.M.ASCE), the member of the Institution of Structural Engineers (ISE). He has co-drafted the Chinese standard Technical specification for cold-formed steel framed shear wall buildings. He is invited to serve as the reviewer for many journals such as Engineering Structures, Thin-Walled Structures, Journal of Constructional Steel Research, Journal of Building Structures and so on.

Dr. Jiang is mainly committed to the research and development of prefabricated structural systems, the stability and seismic resistance of steel structures and composite structures, the safety assessment of engineering structures. In recent years, he has undertaken 5 scientific research projects, published nearly 30 academic papers in many international journals and authorized 3 national patents of invention.

About the author

Lizhong Jiang is a professor in the field of seismic engineering of Central South University, China. He received his Ph.D. from Shanghai Jiaotong University. He is a professor selected into the “Cheung Kong Scholars Programme” and “Leading Talents of National High-level Talent Special Support Program”. Currently he serves as the dean of the Graduate School of Central South University, and the executive deputy director of the Chinese National Engineering Laboratory for Construction Technology of High Speed Railway.

Prof. Jiang has directed a National High-Tech Research and Development Program (863 Program), 4 National Natural Science Foundation Projects of China, a New Century Excellent Talents in University of the Ministry of Education, and undertaken more than 80 other scientific research projects. He has won the first prize of the the Scientific and Technological Progress Award in Hunan Province five times, the second prize of the National Scientific and Technological Progress Award two times, and the second prize of the National Award for Technological Invention. He won the Mao Yisheng Youth Scientific Research Award in 2005 and the Zhan Tianyou Youth Research Achievement Award in 2007. He was named the Leading Talents of Technology in Hunan Province. In 2017, he won the special prize of the China Railway Society.

Prof.Jiang has been engaged in the teaching and scientific research of structural engineering and engineering mechanics. He has drafted 1 book, been authorized over 30 invention patents, published more than 160 papers in international journals.

About the author

Jihong Ye is the dean of the School of Mechanics and Civil Engineering of China University of Mining and Technology, and she is also a distinguished professor of Jiangsu Province in China.

She received her Ph.D. from Tongji University. She is currently a member of the Space Structure Committee and the Wind Engineering Committee of the China Civil Engineering Society, a member of the Structural Anti-collapse Professional Committee of the Architectural Society of China, the deputy chairman of the Jiangsu Earthquake Engineering Society, and an editorial member of many important journals.

Prof. Ye is mainly engaged in the research of seismic performance, wind resistance and fire resistance of large-span space structures and cold-formed steel structures. In recent years, she has undertaken over more than 10 research projects including The National Science Fund for Distinguished Young Scholars, Key Program of National Natural Science Foundation of China, the Major Research plan of the National Natural Science Foundation of China. She won the second prize of Science and Technology Progress Award of the Ministry of Education in China. She’s also the Recipient of the National Outstanding Youth Fund, New Century Excellent Talents of Ministry of Education of China.

Prof. Ye has published more than 100 scientific papers in international well-known journals, published 1 monograph, crafted the Chinese standard Technical specification for cold-formed steel framed shear wall buildings, and co-crafted the national standard Technical Standard for Inspection and Appraisal of High-Rising and Complex Steel Structures.


Rui Jiang, Liqiang Jiang, Yi Hu, Lizhong Jiang, Jihong Ye. A simplified method for fundamental period prediction of steel frames with steel plate shear walls. The Structural Design of Tall and Special Buildings. 2020; volume 29: e1718.

Go To The Structural Design of Tall and Special Buildings

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