In this paper, the Dynamics Stiffness Method, which yields “exact” results for a certain class of plate structures, is applied to analyze free vibration of rectangular plates perpendicularly assembled. In order to obtain necessary results, the transformation matrices have been developed for three characteristic positions of rectangular plates. Numerical example is conducted for so-called L plate, consisting of two plates perpendicularly connected. In addition, numerical example is also conducted for so-called box, consisting of six rectangular plates perpendicularly connected. All plates have the same geometrical and mechanical properties. The accuracy of the results obtained by the Dynamics Stiffness Method is verified by comparing them with the solutions obtained by conventional Finite Element Method. The convergence of the computed natural frequencies is found to be rapid and excellent.
Stability, Vibration, and Control of Machines and Structures : Keynote and invited Lectures of the International Symposium on Stability, Vibration, and Control of Machines and Structures Belgrade, July 3-5,2014, 2015
TY - CONF
AU - Jočković, Miloš
AU - Nefovska-Danilović, Marija
AU - Petronijević, Mira
PY - 2015
UR - http://grafar.grf.bg.ac.rs/handle/123456789/1297
AB - In this paper, the Dynamics Stiffness Method, which yields “exact” results for a certain class of plate structures, is applied to analyze free vibration of rectangular plates perpendicularly assembled. In order to obtain necessary results, the transformation matrices have been developed for three characteristic positions of rectangular plates. Numerical example is conducted for so-called L plate, consisting of two plates perpendicularly connected. In addition, numerical example is also conducted for so-called box, consisting of six rectangular plates perpendicularly connected. All plates have the same geometrical and mechanical properties. The accuracy of the results obtained by the Dynamics Stiffness Method is verified by comparing them with the solutions obtained by conventional Finite Element Method. The convergence of the computed natural frequencies is found to be rapid and excellent.
PB - Springer International Publishing, Cham
C3 - Stability, Vibration, and Control of Machines and Structures : Keynote and invited Lectures of the International Symposium on Stability, Vibration, and Control of Machines and Structures Belgrade, July 3-5,2014
T1 - Free vibration analysis of plate assemblies using dynamic stiffness method
ER -
@conference{
author = "Jočković, Miloš and Nefovska-Danilović, Marija and Petronijević, Mira",
year = "2015",
url = "http://grafar.grf.bg.ac.rs/handle/123456789/1297",
abstract = "In this paper, the Dynamics Stiffness Method, which yields “exact” results for a certain class of plate structures, is applied to analyze free vibration of rectangular plates perpendicularly assembled. In order to obtain necessary results, the transformation matrices have been developed for three characteristic positions of rectangular plates. Numerical example is conducted for so-called L plate, consisting of two plates perpendicularly connected. In addition, numerical example is also conducted for so-called box, consisting of six rectangular plates perpendicularly connected. All plates have the same geometrical and mechanical properties. The accuracy of the results obtained by the Dynamics Stiffness Method is verified by comparing them with the solutions obtained by conventional Finite Element Method. The convergence of the computed natural frequencies is found to be rapid and excellent.",
publisher = "Springer International Publishing, Cham",
journal = "Stability, Vibration, and Control of Machines and Structures : Keynote and invited Lectures of the International Symposium on Stability, Vibration, and Control of Machines and Structures Belgrade, July 3-5,2014",
title = "Free vibration analysis of plate assemblies using dynamic stiffness method"
}
Jočković, M., Nefovska-Danilović, M.,& Petronijević, M. (2015). Free vibration analysis of plate assemblies using dynamic stiffness method.
Stability, Vibration, and Control of Machines and Structures : Keynote and invited Lectures of the International Symposium on Stability, Vibration, and Control of Machines and Structures Belgrade, July 3-5,2014
Springer International Publishing, Cham..
Jočković M, Nefovska-Danilović M, Petronijević M. Free vibration analysis of plate assemblies using dynamic stiffness method. Stability, Vibration, and Control of Machines and Structures : Keynote and invited Lectures of the International Symposium on Stability, Vibration, and Control of Machines and Structures Belgrade, July 3-5,2014. 2015;
Jočković Miloš, Nefovska-Danilović Marija, Petronijević Mira, "Free vibration analysis of plate assemblies using dynamic stiffness method" Stability, Vibration, and Control of Machines and Structures : Keynote and invited Lectures of the International Symposium on Stability, Vibration, and Control of Machines and Structures Belgrade, July 3-5,2014 (2015)
