Analiza izazvanog dinamičkog ponašanja funkcionalno stepenovanih greda pod harmoničnim pokretnim opterećenjem na elastičnoj osnovi pomoću metode konačnih elemenata

  • Amine Zemri Univerzitet u Relizanu, Odeljenje za građevinarstvo i javne radove, Relizane, Narodna Demokratska Republika Alžir; Univerzitet Sidi Bel Abes, Laboratorija za građevinarstvo i zaštitu životne sredine, Sidi Bel Abes, Narodna Demokratska Republika Alžir https://orcid.org/0000-0001-7995-6248
  • Ismail Mechab Univerzitet Sidi Bel Abes, Odeljenje za građevinarstvo i javne radove, Laboratorija za statistiku i slučajne procese, Sidi Bel Abes, Narodna Demokratska Republika Alžir https://orcid.org/0009-0004-4922-6980
DOI: https://doi.org/10.5937/vojtehg72-50200
Ključne reči: teorija deformacije smicanjem višeg reda, funkcionalno stepenovan materijal, metoda konačnih elemenata, pokretno opterećenje, Njumarkova beta-metoda

Sažetak


Uvod/cilj: U radu je predstavljeno numeričko ispitivanje izazvanog dinamičkog ponašanja funkcionalno stepenovane grede podvrgnute harmonično promenljivoj i transferzalno koncentrisanoj pokretnoj sili uz korišćenje teorije deformacije smicanjem višeg reda.

Metode: Najvažnije jednačine izvedene su pomoću Hamiltonovog principa, a zatim transformisane u slabi oblik pomoću metode Galerkina. Problem je rešen korišćenjem metode konačnih elemenata putem razvijanja konačnog elementa sa tri čvora od kojih svaki ima četiri stepena slobode. Za  integraciju u vremenu izabrana je Njumarkova beta-metoda, a za integraciju u prostoru Gausova metoda.

Rezultati: Ispitan je uticaj nekoliko parametara, uključujući  vitkost, indeks materijala i krutost, kao i brzinu i frekvenciju pokretnog opterećenja. Uočeno je dobro slaganje sa rezultatima iz literature.

Zaključak: Ovo ispitivanje ilustruje značaj korišćenja teorije višeg reda u slučaju kratkih greda i jasno ukazuje na promenu u ponašanju funkcionalno stepenovane grede zavisno od različitih parametara.

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Objavljeno
2024/09/28
Broj časopisa
Vol. 72 Br. 3 (2024): jul-septembar
Rubrika
Originalni naučni radovi

Sva prava zadržana (c) 2024 Amine Zemri, Ismail Mechab

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