Simulacija linearnih mehaničkih oscilatora na GPU
Simulation of the linear mechanical oscillator on GPU
Апстракт
U ovom kratkom radu mi smo opisali neke metode za rešavanje stohastičkih diferencijalnih jednačina koje se javljaju u mehanici. Pre svega nas zanimaju mehaničke oscilacije koje nastaju slučajnom pobudom. Slučajna pobuda u obliku belog šuma se najčešće koristi za teorijska i praktična razmatranja, zato i mi biramo pobudu u obliku belog šuma. Standardni oblik jednačine mehaničkog oscilatora je zapisan u obliku koji je pogodan za numeričko rešavanje. Na kraju dajemo neke elemente pisanja programa na GPU.
In this short paper we are describing some methods for solving stochastic differential equations which appears in mechanics. We are concerned with solutions of mechanical oscillators which are subject to random excitation. We are primarly interested in solving stochastic differential equations excited with white noise. We rewrite the random mechanical oscillator equation in the form suitable for applying numerical procedures for solving it. Finally, we give some design notes on the methods used to implement numerical simulation of the graphical processing units.
Кључне речи:
Linear Mechanical Oscillator / Graphics Processing UnitИзвор:
FME Transactions, 2014, 42, 4, 317-322Издавач:
- Univerzitet u Beogradu - Mašinski fakultet, Beograd
Финансирање / пројекти:
- Projekat Ministarstva nauke Republike Srbije, br. 2-14: Chinese-Serbian Science & Technology Cooperation
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Cvetković, Aleksandar AU - Trišović, Nataša AU - Wei, Li PY - 2014 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1987 AB - U ovom kratkom radu mi smo opisali neke metode za rešavanje stohastičkih diferencijalnih jednačina koje se javljaju u mehanici. Pre svega nas zanimaju mehaničke oscilacije koje nastaju slučajnom pobudom. Slučajna pobuda u obliku belog šuma se najčešće koristi za teorijska i praktična razmatranja, zato i mi biramo pobudu u obliku belog šuma. Standardni oblik jednačine mehaničkog oscilatora je zapisan u obliku koji je pogodan za numeričko rešavanje. Na kraju dajemo neke elemente pisanja programa na GPU. AB - In this short paper we are describing some methods for solving stochastic differential equations which appears in mechanics. We are concerned with solutions of mechanical oscillators which are subject to random excitation. We are primarly interested in solving stochastic differential equations excited with white noise. We rewrite the random mechanical oscillator equation in the form suitable for applying numerical procedures for solving it. Finally, we give some design notes on the methods used to implement numerical simulation of the graphical processing units. PB - Univerzitet u Beogradu - Mašinski fakultet, Beograd T2 - FME Transactions T1 - Simulacija linearnih mehaničkih oscilatora na GPU T1 - Simulation of the linear mechanical oscillator on GPU EP - 322 IS - 4 SP - 317 VL - 42 DO - 10.5937/fmet1404317C ER -
@article{ author = "Cvetković, Aleksandar and Trišović, Nataša and Wei, Li", year = "2014", abstract = "U ovom kratkom radu mi smo opisali neke metode za rešavanje stohastičkih diferencijalnih jednačina koje se javljaju u mehanici. Pre svega nas zanimaju mehaničke oscilacije koje nastaju slučajnom pobudom. Slučajna pobuda u obliku belog šuma se najčešće koristi za teorijska i praktična razmatranja, zato i mi biramo pobudu u obliku belog šuma. Standardni oblik jednačine mehaničkog oscilatora je zapisan u obliku koji je pogodan za numeričko rešavanje. Na kraju dajemo neke elemente pisanja programa na GPU., In this short paper we are describing some methods for solving stochastic differential equations which appears in mechanics. We are concerned with solutions of mechanical oscillators which are subject to random excitation. We are primarly interested in solving stochastic differential equations excited with white noise. We rewrite the random mechanical oscillator equation in the form suitable for applying numerical procedures for solving it. Finally, we give some design notes on the methods used to implement numerical simulation of the graphical processing units.", publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd", journal = "FME Transactions", title = "Simulacija linearnih mehaničkih oscilatora na GPU, Simulation of the linear mechanical oscillator on GPU", pages = "322-317", number = "4", volume = "42", doi = "10.5937/fmet1404317C" }
Cvetković, A., Trišović, N.,& Wei, L.. (2014). Simulacija linearnih mehaničkih oscilatora na GPU. in FME Transactions Univerzitet u Beogradu - Mašinski fakultet, Beograd., 42(4), 317-322. https://doi.org/10.5937/fmet1404317C
Cvetković A, Trišović N, Wei L. Simulacija linearnih mehaničkih oscilatora na GPU. in FME Transactions. 2014;42(4):317-322. doi:10.5937/fmet1404317C .
Cvetković, Aleksandar, Trišović, Nataša, Wei, Li, "Simulacija linearnih mehaničkih oscilatora na GPU" in FME Transactions, 42, no. 4 (2014):317-322, https://doi.org/10.5937/fmet1404317C . .