Transient Response of Cross-Ply Laminated Composite Plates
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This paper describes the transient response of cross-ply laminated composite plates. Possibility of achieving the transient response of cross-ply composites by the use of Reddy’s generalized laminated plate theory (GLPT) is evaluated in this work. Layerwise linear variation of displacements components, as well as linear kinematic relations and Hook’s law are assumed. Navier solution is applied for expansion of generalized displacements in double trigonometric series. The governing partial differential equations are reduced to a set of ordinary differential equations in time. The equations of motion are solved using Newmark’s integration schemes. Transient response is calculated with an example of simply supported (0/90) laminate. Different number of layers and variants of stacking sequences are taken into consideration by parametric study. Transient response is investigated using different schemes of dynamic loading (forcing functions). For all loading types, results taking into accoun...t the influence of time step are presented. Results are compared with those of other theories existing from the literature. Variety of new results is presented.
U ovom radu opisan je dinamički odgovor cross-ply laminatnih kompozitnih ploča. Razmatrana je mogućnost određivanja dinamičkog odgovora cross-ply kompozita korišćenjem Reddy-eve Opšte laminatne teorije ploča (GLPT). Pretpostavljena je slojevita linearna varijacija komponenata pomeranja, kao i linearne kinematičke relacije i Hook-ov zakon. Navier-ovo rešenje je primenjeno za razvoj generalisanih pomeranja u dvostruke trigonometrijske redove. Uslovne parcijalne diferencijalne jednačine su redukovane na sistem običnih diferencijalnih jednačina po vremenu. Jednačine kretanja su rešene primenom Newmark-ovih integracionih šema. Dinamički odgovor je sračunat na primeru slobodno oslonjene cross-ply (0/90) laminatne ploče. U parametarskoj analizi su razmatrani uticaji broja slojeva u laminatu, kao i različite varijante šema laminacije. Dinamički odgovor je sračunat za različite šeme dinamičkog opterećenja (forcing functions). Za sve tipove opterećenja prezentovani su rezultati koji uzimaju u ob...zir uticaj vremenskog inkrementa. Rezultati su upoređeni sa nekim rezultatima po drugim teorijama koji postoje u literaturi. Prikazano je i mnoštvo novih rezultata.
Ključne reči:
kompozitna ploča / dinamička analiza / laminatna teorija / Navier-ovo rešenje / composite plate / dynamic analysis / layerwise theory / Navier solutionIzvor:
International Symposium for Students of Doctoral Studies in the fields of Civil Engineering, Architecture and Environmental Protection - PhIDAC 2012, 2012, 345-352Izdavač:
- Faculty of Civil Engineering and Architecture (Niš)
Finansiranje / projekti:
- Istraživanje stanja i metoda unapređenja građevinskih konstrukcija sa aspekta upotrebljivosti, nosivosti, ekonomičnosti i održavanja (RS-MESTD-Technological Development (TD or TR)-36048)
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GraFarTY - CONF AU - Marjanović, Miroslav AU - Vuksanović, Djordje PY - 2012 UR - https://grafar.grf.bg.ac.rs/handle/123456789/1743 AB - This paper describes the transient response of cross-ply laminated composite plates. Possibility of achieving the transient response of cross-ply composites by the use of Reddy’s generalized laminated plate theory (GLPT) is evaluated in this work. Layerwise linear variation of displacements components, as well as linear kinematic relations and Hook’s law are assumed. Navier solution is applied for expansion of generalized displacements in double trigonometric series. The governing partial differential equations are reduced to a set of ordinary differential equations in time. The equations of motion are solved using Newmark’s integration schemes. Transient response is calculated with an example of simply supported (0/90) laminate. Different number of layers and variants of stacking sequences are taken into consideration by parametric study. Transient response is investigated using different schemes of dynamic loading (forcing functions). For all loading types, results taking into account the influence of time step are presented. Results are compared with those of other theories existing from the literature. Variety of new results is presented. AB - U ovom radu opisan je dinamički odgovor cross-ply laminatnih kompozitnih ploča. Razmatrana je mogućnost određivanja dinamičkog odgovora cross-ply kompozita korišćenjem Reddy-eve Opšte laminatne teorije ploča (GLPT). Pretpostavljena je slojevita linearna varijacija komponenata pomeranja, kao i linearne kinematičke relacije i Hook-ov zakon. Navier-ovo rešenje je primenjeno za razvoj generalisanih pomeranja u dvostruke trigonometrijske redove. Uslovne parcijalne diferencijalne jednačine su redukovane na sistem običnih diferencijalnih jednačina po vremenu. Jednačine kretanja su rešene primenom Newmark-ovih integracionih šema. Dinamički odgovor je sračunat na primeru slobodno oslonjene cross-ply (0/90) laminatne ploče. U parametarskoj analizi su razmatrani uticaji broja slojeva u laminatu, kao i različite varijante šema laminacije. Dinamički odgovor je sračunat za različite šeme dinamičkog opterećenja (forcing functions). Za sve tipove opterećenja prezentovani su rezultati koji uzimaju u obzir uticaj vremenskog inkrementa. Rezultati su upoređeni sa nekim rezultatima po drugim teorijama koji postoje u literaturi. Prikazano je i mnoštvo novih rezultata. PB - Faculty of Civil Engineering and Architecture (Niš) C3 - International Symposium for Students of Doctoral Studies in the fields of Civil Engineering, Architecture and Environmental Protection - PhIDAC 2012 T1 - Transient Response of Cross-Ply Laminated Composite Plates EP - 352 SP - 345 UR - https://hdl.handle.net/21.15107/rcub_grafar_1743 ER -
@conference{ author = "Marjanović, Miroslav and Vuksanović, Djordje", year = "2012", abstract = "This paper describes the transient response of cross-ply laminated composite plates. Possibility of achieving the transient response of cross-ply composites by the use of Reddy’s generalized laminated plate theory (GLPT) is evaluated in this work. Layerwise linear variation of displacements components, as well as linear kinematic relations and Hook’s law are assumed. Navier solution is applied for expansion of generalized displacements in double trigonometric series. The governing partial differential equations are reduced to a set of ordinary differential equations in time. The equations of motion are solved using Newmark’s integration schemes. Transient response is calculated with an example of simply supported (0/90) laminate. Different number of layers and variants of stacking sequences are taken into consideration by parametric study. Transient response is investigated using different schemes of dynamic loading (forcing functions). For all loading types, results taking into account the influence of time step are presented. Results are compared with those of other theories existing from the literature. Variety of new results is presented., U ovom radu opisan je dinamički odgovor cross-ply laminatnih kompozitnih ploča. Razmatrana je mogućnost određivanja dinamičkog odgovora cross-ply kompozita korišćenjem Reddy-eve Opšte laminatne teorije ploča (GLPT). Pretpostavljena je slojevita linearna varijacija komponenata pomeranja, kao i linearne kinematičke relacije i Hook-ov zakon. Navier-ovo rešenje je primenjeno za razvoj generalisanih pomeranja u dvostruke trigonometrijske redove. Uslovne parcijalne diferencijalne jednačine su redukovane na sistem običnih diferencijalnih jednačina po vremenu. Jednačine kretanja su rešene primenom Newmark-ovih integracionih šema. Dinamički odgovor je sračunat na primeru slobodno oslonjene cross-ply (0/90) laminatne ploče. U parametarskoj analizi su razmatrani uticaji broja slojeva u laminatu, kao i različite varijante šema laminacije. Dinamički odgovor je sračunat za različite šeme dinamičkog opterećenja (forcing functions). Za sve tipove opterećenja prezentovani su rezultati koji uzimaju u obzir uticaj vremenskog inkrementa. Rezultati su upoređeni sa nekim rezultatima po drugim teorijama koji postoje u literaturi. Prikazano je i mnoštvo novih rezultata.", publisher = "Faculty of Civil Engineering and Architecture (Niš)", journal = "International Symposium for Students of Doctoral Studies in the fields of Civil Engineering, Architecture and Environmental Protection - PhIDAC 2012", title = "Transient Response of Cross-Ply Laminated Composite Plates", pages = "352-345", url = "https://hdl.handle.net/21.15107/rcub_grafar_1743" }
Marjanović, M.,& Vuksanović, D.. (2012). Transient Response of Cross-Ply Laminated Composite Plates. in International Symposium for Students of Doctoral Studies in the fields of Civil Engineering, Architecture and Environmental Protection - PhIDAC 2012 Faculty of Civil Engineering and Architecture (Niš)., 345-352. https://hdl.handle.net/21.15107/rcub_grafar_1743
Marjanović M, Vuksanović D. Transient Response of Cross-Ply Laminated Composite Plates. in International Symposium for Students of Doctoral Studies in the fields of Civil Engineering, Architecture and Environmental Protection - PhIDAC 2012. 2012;:345-352. https://hdl.handle.net/21.15107/rcub_grafar_1743 .
Marjanović, Miroslav, Vuksanović, Djordje, "Transient Response of Cross-Ply Laminated Composite Plates" in International Symposium for Students of Doctoral Studies in the fields of Civil Engineering, Architecture and Environmental Protection - PhIDAC 2012 (2012):345-352, https://hdl.handle.net/21.15107/rcub_grafar_1743 .