Layerwise Model for Soft Core Sandwich Plates
Slojeviti model sendvič ploče sa mekim jezgrom
Apstrakt
In this paper free vibrations of soft-core sandwich plates, using layerwise plate model are analyzed [4]. The proposed model assumes displacement, and thereby deformation and stress fields at the layer level, being able to realistically describes the plate anisotropic behavior. Governing differential equations are derived applying Hamilton’s principle, by using assumed displacement field, linear strain displacement relations and 3D plate constitutive equations. The analytical solutions for plate free vibrations are obtained following the Navier’s technique and solving the eigen value problem. Numerical results are found using original program, made in MATLAB programming language, and are verified with those from the literature. Some new results for soft-core sandwich plates, using proposed layerwise model, are shown.
U ovom radu analizirane su sopstvene vibracije sendvič ploča sa mekim jezgrom primenom slojevitog modela ploče [4]. Predloženi model polje pomeranja, a time i deformacija i napona, pretpostavlja na nivou sloja, čime je u stanju da realno opiše anizotropno ponašanje ploče. Osnovne dinamičke jednačine problema izvedene su primenom Hamilton-ovog principa, koristeći pretpostavljeno polje pomeranja, linearne veze deformacija i pomeranja i 3D konstitutivne jednačine ploče. Analitička rešenja sopstvenih vibracija ploče su nađena Navier-ovim postupkom i rešavanjem problema svojstvenih vrednosti. Numerički primeri su urađeni korišćenjem sopstvenog programa, napisanog u MATLAB programskom jeziku, i potvrđeni su sa rešenjima iz literature. U radu su prikazana i neki novi rezultati, za slojeviti model sendvič ploče sa mekim jezgrom.
Ključne reči:
Sandwich plate / Layerwise model / Free vibrations / Analytical solution / MATLAB programIzvor:
Proceedings / International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2008., 2008, 15-20Izdavač:
- University of Montenegro, Faculty of Civil Engineering
Finansiranje / projekti:
- Experimental and Theoretical Research of Engineering Structures in Civil Engineering at usability aspect/ TP16027//
Kolekcije
Institucija/grupa
GraFarTY - CONF AU - Ćetković, Marina AU - Vuksanović, Đorđe PY - 2008 UR - https://grafar.grf.bg.ac.rs/handle/123456789/1882 AB - In this paper free vibrations of soft-core sandwich plates, using layerwise plate model are analyzed [4]. The proposed model assumes displacement, and thereby deformation and stress fields at the layer level, being able to realistically describes the plate anisotropic behavior. Governing differential equations are derived applying Hamilton’s principle, by using assumed displacement field, linear strain displacement relations and 3D plate constitutive equations. The analytical solutions for plate free vibrations are obtained following the Navier’s technique and solving the eigen value problem. Numerical results are found using original program, made in MATLAB programming language, and are verified with those from the literature. Some new results for soft-core sandwich plates, using proposed layerwise model, are shown. AB - U ovom radu analizirane su sopstvene vibracije sendvič ploča sa mekim jezgrom primenom slojevitog modela ploče [4]. Predloženi model polje pomeranja, a time i deformacija i napona, pretpostavlja na nivou sloja, čime je u stanju da realno opiše anizotropno ponašanje ploče. Osnovne dinamičke jednačine problema izvedene su primenom Hamilton-ovog principa, koristeći pretpostavljeno polje pomeranja, linearne veze deformacija i pomeranja i 3D konstitutivne jednačine ploče. Analitička rešenja sopstvenih vibracija ploče su nađena Navier-ovim postupkom i rešavanjem problema svojstvenih vrednosti. Numerički primeri su urađeni korišćenjem sopstvenog programa, napisanog u MATLAB programskom jeziku, i potvrđeni su sa rešenjima iz literature. U radu su prikazana i neki novi rezultati, za slojeviti model sendvič ploče sa mekim jezgrom. PB - University of Montenegro, Faculty of Civil Engineering C3 - Proceedings / International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2008. T1 - Layerwise Model for Soft Core Sandwich Plates T1 - Slojeviti model sendvič ploče sa mekim jezgrom EP - 20 SP - 15 UR - https://hdl.handle.net/21.15107/rcub_grafar_1882 ER -
@conference{ author = "Ćetković, Marina and Vuksanović, Đorđe", year = "2008", abstract = "In this paper free vibrations of soft-core sandwich plates, using layerwise plate model are analyzed [4]. The proposed model assumes displacement, and thereby deformation and stress fields at the layer level, being able to realistically describes the plate anisotropic behavior. Governing differential equations are derived applying Hamilton’s principle, by using assumed displacement field, linear strain displacement relations and 3D plate constitutive equations. The analytical solutions for plate free vibrations are obtained following the Navier’s technique and solving the eigen value problem. Numerical results are found using original program, made in MATLAB programming language, and are verified with those from the literature. Some new results for soft-core sandwich plates, using proposed layerwise model, are shown., U ovom radu analizirane su sopstvene vibracije sendvič ploča sa mekim jezgrom primenom slojevitog modela ploče [4]. Predloženi model polje pomeranja, a time i deformacija i napona, pretpostavlja na nivou sloja, čime je u stanju da realno opiše anizotropno ponašanje ploče. Osnovne dinamičke jednačine problema izvedene su primenom Hamilton-ovog principa, koristeći pretpostavljeno polje pomeranja, linearne veze deformacija i pomeranja i 3D konstitutivne jednačine ploče. Analitička rešenja sopstvenih vibracija ploče su nađena Navier-ovim postupkom i rešavanjem problema svojstvenih vrednosti. Numerički primeri su urađeni korišćenjem sopstvenog programa, napisanog u MATLAB programskom jeziku, i potvrđeni su sa rešenjima iz literature. U radu su prikazana i neki novi rezultati, za slojeviti model sendvič ploče sa mekim jezgrom.", publisher = "University of Montenegro, Faculty of Civil Engineering", journal = "Proceedings / International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2008.", title = "Layerwise Model for Soft Core Sandwich Plates, Slojeviti model sendvič ploče sa mekim jezgrom", pages = "20-15", url = "https://hdl.handle.net/21.15107/rcub_grafar_1882" }
Ćetković, M.,& Vuksanović, Đ.. (2008). Layerwise Model for Soft Core Sandwich Plates. in Proceedings / International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2008. University of Montenegro, Faculty of Civil Engineering., 15-20. https://hdl.handle.net/21.15107/rcub_grafar_1882
Ćetković M, Vuksanović Đ. Layerwise Model for Soft Core Sandwich Plates. in Proceedings / International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2008.. 2008;:15-20. https://hdl.handle.net/21.15107/rcub_grafar_1882 .
Ćetković, Marina, Vuksanović, Đorđe, "Layerwise Model for Soft Core Sandwich Plates" in Proceedings / International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2008. (2008):15-20, https://hdl.handle.net/21.15107/rcub_grafar_1882 .