20.500.12556/RUL-149389 Nihanje zgradbe zaradi potresa delo diplomskega seminarja Vibration of a building due to earthquake V delu diplomskega seminarja problem nihanja zgradbe zaradi potresa modeliramo s sistemom diferencialnih enačb 2. reda. Spremenljivke sistema so masna in togostna matrika ter matrika dušenja. Potres opišemo s funkcijo. V sklopu reševanja modela vpeljemo posplošeni problem lastnih vrednosti (GEP) ter Cholesky QR algoritem kot način reševanja slednjega. Podrobneje si ogledamo tudi kvadratni problem lastnih vrednosti (QEP) in reševanje z linearizacijo. Predstavimo pojav resonance ter nihanje zgradbe pokažemo na primeru. In this thesis we model the problem of vibration of a building due to earthquake with a system of second order differential equations. The variables of the system are a mass, stiffness and damping matrix. The earthquake is described with a function. Within solving the model, we introduce generalized eigenvalue problem (GEP) and Cholesky QR algorithm as a way to solve the latter. We also look into quadratic eigenvalue problem (QEP) and solving with linearization. We introduce the phenomenon of resonance and show an example of vibration of a building. kvadratni problem lastnih vrednosti nihanje posplošeni problem lastnih vrednosti potres resonanca sistem diferencialnih enačb quadratic eigenvalue problem vibration generalized eigenvalue problem earthquake resonance system of differential equations true false false Slovenski jezik Angleški jezik Delo diplomskega seminarja/zaključno seminarsko delo/naloga 2023-09-07 08:15:06 2023-09-07 08:15:08 2024-05-29 10:42:40 0000-00-00 00:00:00 2023 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.6 135409 163657731 9527.pdf 9527.pdf 1 34EBF5E7B1A504E1891EE8DFD26B4089 93f2d089dee881b97cfc209f11d0654d91bc9d479446e3f29cfcece85913ee00 e4071ad5-4d45-11ee-9934-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=173830 Fakulteta za matematiko in fiziko 0 0 0