Shear deformable dynamic stiffness elements for a free vibration analysis of composite plate assemblies - Part I: Theory
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2017
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A procedure for developing the dynamic stiffness matrix of a completely free laminated composite plate based on the first-order (FSDT) and higher-order shear deformation theory (HSDT) is presented. The proposed method allows the computational analysis of free transverse vibrations of the individual rectangular laminated composite plates, as well as the composite plate assemblies, without any restrictions regarding the boundary conditions or frequency limitations. The general solution of the governing differential equations of the HSDT and FSDT is established using the superposition method. Continuous boundary conditions are discretized by using the projection method. The dynamic stiffness matrices of plate elements are then formulated from the assembly of the four dynamic stiffness matrices (four symmetry contributions). The validation of the theory and its application are provided in the Part II of this two-part paper.
Ključne reči:
Dynamic stiffness method / HSDT / FSDT / Laminated composite plate / Free vibrationsIzvor:
Composite Structures, 2017, 159, 728-744Izdavač:
- Elsevier Ltd
Finansiranje / projekti:
- Istraživanje uticaja vibracija od saobraćaja na zgrade i ljude u cilju održivog razvoja gradova (RS-MESTD-Technological Development (TD or TR)-36046)
- Istraživanje stanja i metoda unapređenja građevinskih konstrukcija sa aspekta upotrebljivosti, nosivosti, ekonomičnosti i održavanja (RS-MESTD-Technological Development (TD or TR)-36048)
DOI: 10.1016/j.compstruct.2016.09.022
ISSN: 0263-8223
WoS: 000386759100068
Scopus: 2-s2.0-84991786879
Kolekcije
Institucija/grupa
GraFarTY - JOUR AU - Nefovska-Danilović, Marija AU - Kolarević, Nevenka AU - Marjanović, Miroslav AU - Petronijević, Mira PY - 2017 UR - https://grafar.grf.bg.ac.rs/handle/123456789/883 AB - A procedure for developing the dynamic stiffness matrix of a completely free laminated composite plate based on the first-order (FSDT) and higher-order shear deformation theory (HSDT) is presented. The proposed method allows the computational analysis of free transverse vibrations of the individual rectangular laminated composite plates, as well as the composite plate assemblies, without any restrictions regarding the boundary conditions or frequency limitations. The general solution of the governing differential equations of the HSDT and FSDT is established using the superposition method. Continuous boundary conditions are discretized by using the projection method. The dynamic stiffness matrices of plate elements are then formulated from the assembly of the four dynamic stiffness matrices (four symmetry contributions). The validation of the theory and its application are provided in the Part II of this two-part paper. PB - Elsevier Ltd T2 - Composite Structures T1 - Shear deformable dynamic stiffness elements for a free vibration analysis of composite plate assemblies - Part I: Theory EP - 744 SP - 728 VL - 159 DO - 10.1016/j.compstruct.2016.09.022 ER -
@article{ author = "Nefovska-Danilović, Marija and Kolarević, Nevenka and Marjanović, Miroslav and Petronijević, Mira", year = "2017", abstract = "A procedure for developing the dynamic stiffness matrix of a completely free laminated composite plate based on the first-order (FSDT) and higher-order shear deformation theory (HSDT) is presented. The proposed method allows the computational analysis of free transverse vibrations of the individual rectangular laminated composite plates, as well as the composite plate assemblies, without any restrictions regarding the boundary conditions or frequency limitations. The general solution of the governing differential equations of the HSDT and FSDT is established using the superposition method. Continuous boundary conditions are discretized by using the projection method. The dynamic stiffness matrices of plate elements are then formulated from the assembly of the four dynamic stiffness matrices (four symmetry contributions). The validation of the theory and its application are provided in the Part II of this two-part paper.", publisher = "Elsevier Ltd", journal = "Composite Structures", title = "Shear deformable dynamic stiffness elements for a free vibration analysis of composite plate assemblies - Part I: Theory", pages = "744-728", volume = "159", doi = "10.1016/j.compstruct.2016.09.022" }
Nefovska-Danilović, M., Kolarević, N., Marjanović, M.,& Petronijević, M.. (2017). Shear deformable dynamic stiffness elements for a free vibration analysis of composite plate assemblies - Part I: Theory. in Composite Structures Elsevier Ltd., 159, 728-744. https://doi.org/10.1016/j.compstruct.2016.09.022
Nefovska-Danilović M, Kolarević N, Marjanović M, Petronijević M. Shear deformable dynamic stiffness elements for a free vibration analysis of composite plate assemblies - Part I: Theory. in Composite Structures. 2017;159:728-744. doi:10.1016/j.compstruct.2016.09.022 .
Nefovska-Danilović, Marija, Kolarević, Nevenka, Marjanović, Miroslav, Petronijević, Mira, "Shear deformable dynamic stiffness elements for a free vibration analysis of composite plate assemblies - Part I: Theory" in Composite Structures, 159 (2017):728-744, https://doi.org/10.1016/j.compstruct.2016.09.022 . .