Irina Pavlenko

Raschet Plastin Chislenno-analiticheskim Metodom Granichnykh Elementov: Ortotropnye I Rebristye Plastiny Irina Pavlenko Russian edition

Privodyatsya obshchie svedeniya o novom metode rascheta konstruktsiy - chislenno-analiticheskom metode granichnykh elementov. Privlekatel'nost' metoda obuslovlena ryadom prichin. Diskretizatsiya tol'ko granitsy oblasti, zanimaemoy ob"ektom, rezko umen'shaet poryadok sistemy razreshayushchikh uravneniy; est' vozmozhnost' snizheniya mernosti reshaemoy zadachi. Metod strogo obosnovan matematicheski, t.k. ispol'zuet fundamental'nye resheniya differentsial'nykh uravneniy, a, znachit, v ramkakh prinimaemykh gipotez pozvolyaet poluchit' tochnye znacheniya parametrov zadachi (usiliy, peremeshcheniy, napryazheniy, tokov, chastot sobstvennykh kolebaniy, kriticheskikh sil poteri ustoychivosti i t.d.) vnutri oblasti. Sleduet otmetit' takzhe prostotu logiki algoritma, khoroshuyu skhodimost' resheniya, vysokuyu ustoychivost' i maloe nakoplenie pogreshnostey pri chislennykh operatsiyakh. Sushchnost' metoda sostoit v pervonachal'noy diskretizatsii lineynoy sistemy na prosteyshie moduli. Posle analiza sostoyaniya vsekh moduley sistemy vypolnyaetsya ikh sintez i obratnyy perekhod k rassmatrivaemoy sisteme. V knige na osnove ukazannogo metoda resheny zadachi ob izgibe ortotropnykh i rebristykh plastin.