TY - JOUR
T1 - Nonlinear dynamic investigation of plates
T2 - Considering seismic loads, strain rate, material, and geometrical nonlinearities
AU - Mohammadzadeh, Behzad
AU - Kang, Young Jong
AU - Kim, Seungjun
AU - Cabral-Pinto, Marina MS
AU - Nejad, Zahra Derakhshan
N1 - Funding Information:
This research was supported by the National Research Foundation of Korea, BK21 FOUR R&E Center for Civil, Environmental, and Architectural Engineering having the grant number of T2023802.
Publisher Copyright:
© 2021 Institution of Structural Engineers
PY - 2021/10
Y1 - 2021/10
N2 - This study presented a nonlinear dynamic approach to investigate dynamic responses of the plated structures taking into account the strain rate, material, and geometrical nonlinearities. The higher-order shear deformation theory was employed together with Hamilton's principle to obtain governing equations of motion. The inclusion of material and geometrical nonlinearities as well as considering the effects of strain rate resulted in a very strong and accurate approach for analyzing the plated structures, especially, under severe dynamic loads such as seismic load. This approach was designed such that it can be employed for all types of rectangular plates such as isotropic, sandwich, composite, and functionally graded material (FGM) plates. The set of equations of motion were reduced in the form of nonlinear dynamic equations to enable solving them, which was carried out using the Runge-Kutta method through the mathematical model Maple. Besides, the governing equations of stress along with the plate thickness were derived, and the calculated stresses were plotted concerning the variation of thickness. The validity of the method was evaluated through two types of analysis: static and dynamic such that the results obtained from the presented method were compared with those of literature and those obtained from a numerical model employing ABAQUS. The small discrepancy among the results proved the accuracy and validity of the method of this study. Thereafter, to examine the application of the presented method of this study two example problems were defined: one dealing with a sandwich plate with FGM faces and a steel core and the other considering a composite laminate of four layers. The aim was to investigate dynamic responses of the plates and stress distribution through the plate thickness, subject to a real seismic load resulted from a Vrancea earthquake that occurred in Romania.
AB - This study presented a nonlinear dynamic approach to investigate dynamic responses of the plated structures taking into account the strain rate, material, and geometrical nonlinearities. The higher-order shear deformation theory was employed together with Hamilton's principle to obtain governing equations of motion. The inclusion of material and geometrical nonlinearities as well as considering the effects of strain rate resulted in a very strong and accurate approach for analyzing the plated structures, especially, under severe dynamic loads such as seismic load. This approach was designed such that it can be employed for all types of rectangular plates such as isotropic, sandwich, composite, and functionally graded material (FGM) plates. The set of equations of motion were reduced in the form of nonlinear dynamic equations to enable solving them, which was carried out using the Runge-Kutta method through the mathematical model Maple. Besides, the governing equations of stress along with the plate thickness were derived, and the calculated stresses were plotted concerning the variation of thickness. The validity of the method was evaluated through two types of analysis: static and dynamic such that the results obtained from the presented method were compared with those of literature and those obtained from a numerical model employing ABAQUS. The small discrepancy among the results proved the accuracy and validity of the method of this study. Thereafter, to examine the application of the presented method of this study two example problems were defined: one dealing with a sandwich plate with FGM faces and a steel core and the other considering a composite laminate of four layers. The aim was to investigate dynamic responses of the plates and stress distribution through the plate thickness, subject to a real seismic load resulted from a Vrancea earthquake that occurred in Romania.
KW - Composites
KW - FGM
KW - HSDT
KW - Laminates
KW - Nonlinear dynamics
KW - Plates
KW - Seismic load
KW - Strain rate
UR - http://www.scopus.com/inward/record.url?scp=85107630594&partnerID=8YFLogxK
U2 - 10.1016/j.istruc.2021.04.069
DO - 10.1016/j.istruc.2021.04.069
M3 - Article
AN - SCOPUS:85107630594
VL - 33
SP - 1967
EP - 1986
JO - Structures
JF - Structures
SN - 2352-0124
ER -