The development of the dynamic stiffness matrix for rectangular plate element undergoing in-plane vibration is presented in this paper. Gorman's superposition method is exploited to obtain the solution of the governing equations of motion. The dynamic stiffness matrix of completely free rectangular plate element is derived using the Projection method. Free vibration analysis of plate assemblies with arbitrary boundary conditions is carried out. The results obtained using the proposed method, are in very good agreement with the results obtained using exact solutions and finite element method. Modeling of plate assemblies using the spectral element method demonstrate high precision, accuracy and low memory cost in comparison with the finite element method.
Keywords:
In-plane vibration / Dynamic stiffness matrix / Spectral element method
Source:
Proceedings of the International Conference on Structural Dynamic , EURODYN, 2014, 3869-3874
TY - CONF
AU - Nefovska-Danilović, Marija
AU - Petronijević, Mira
PY - 2014
UR - https://grafar.grf.bg.ac.rs/handle/123456789/644
AB - The development of the dynamic stiffness matrix for rectangular plate element undergoing in-plane vibration is presented in this paper. Gorman's superposition method is exploited to obtain the solution of the governing equations of motion. The dynamic stiffness matrix of completely free rectangular plate element is derived using the Projection method. Free vibration analysis of plate assemblies with arbitrary boundary conditions is carried out. The results obtained using the proposed method, are in very good agreement with the results obtained using exact solutions and finite element method. Modeling of plate assemblies using the spectral element method demonstrate high precision, accuracy and low memory cost in comparison with the finite element method.
PB - European Association for Structural Dynamics
C3 - Proceedings of the International Conference on Structural Dynamic , EURODYN
T1 - Free in-plane vibration of rectangular plates using spectral element method
EP - 3874
SP - 3869
UR - https://hdl.handle.net/21.15107/rcub_grafar_644
ER -
@conference{
author = "Nefovska-Danilović, Marija and Petronijević, Mira",
year = "2014",
abstract = "The development of the dynamic stiffness matrix for rectangular plate element undergoing in-plane vibration is presented in this paper. Gorman's superposition method is exploited to obtain the solution of the governing equations of motion. The dynamic stiffness matrix of completely free rectangular plate element is derived using the Projection method. Free vibration analysis of plate assemblies with arbitrary boundary conditions is carried out. The results obtained using the proposed method, are in very good agreement with the results obtained using exact solutions and finite element method. Modeling of plate assemblies using the spectral element method demonstrate high precision, accuracy and low memory cost in comparison with the finite element method.",
publisher = "European Association for Structural Dynamics",
journal = "Proceedings of the International Conference on Structural Dynamic , EURODYN",
title = "Free in-plane vibration of rectangular plates using spectral element method",
pages = "3874-3869",
url = "https://hdl.handle.net/21.15107/rcub_grafar_644"
}
Nefovska-Danilović, M.,& Petronijević, M.. (2014). Free in-plane vibration of rectangular plates using spectral element method. in Proceedings of the International Conference on Structural Dynamic , EURODYN
European Association for Structural Dynamics., 3869-3874.
https://hdl.handle.net/21.15107/rcub_grafar_644
Nefovska-Danilović M, Petronijević M. Free in-plane vibration of rectangular plates using spectral element method. in Proceedings of the International Conference on Structural Dynamic , EURODYN. 2014;:3869-3874.
https://hdl.handle.net/21.15107/rcub_grafar_644 .
Nefovska-Danilović, Marija, Petronijević, Mira, "Free in-plane vibration of rectangular plates using spectral element method" in Proceedings of the International Conference on Structural Dynamic , EURODYN (2014):3869-3874,
https://hdl.handle.net/21.15107/rcub_grafar_644 .
