Free vibration analysis of plate assemblies using dynamic stiffness method
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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.
Ključne reči:
Dynamics Stiffness Method / Plate Assemblies / Free vibrationIzvor:
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, 2015Izdavač:
- Springer International Publishing, Cham
Finansiranje / projekti:
- Istraživanje uticaja vibracija od saobraćaja na zgrade i ljude u cilju održivog razvoja gradova (RS-MESTD-Technological Development (TD or TR)-36046)
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GraFarTY - CONF AU - Jočković, Miloš AU - Nefovska-Danilović, Marija AU - Petronijević, Mira PY - 2015 UR - https://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 UR - https://hdl.handle.net/21.15107/rcub_grafar_1297 ER -
@conference{ author = "Jočković, Miloš and Nefovska-Danilović, Marija and Petronijević, Mira", year = "2015", 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", url = "https://hdl.handle.net/21.15107/rcub_grafar_1297" }
Jočković, M., Nefovska-Danilović, M.,& Petronijević, M.. (2015). Free vibration analysis of plate assemblies using dynamic stiffness method. in 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.. https://hdl.handle.net/21.15107/rcub_grafar_1297
Jočković M, Nefovska-Danilović M, Petronijević M. Free vibration analysis of plate assemblies using dynamic stiffness method. in 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;. https://hdl.handle.net/21.15107/rcub_grafar_1297 .
Jočković, Miloš, Nefovska-Danilović, Marija, Petronijević, Mira, "Free vibration analysis of plate assemblies using dynamic stiffness method" in 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), https://hdl.handle.net/21.15107/rcub_grafar_1297 .