dc.contributor.author | Peng, Yongbo | |
dc.contributor.author | ICASP14 | |
dc.contributor.author | Han, Renjie | |
dc.contributor.author | Kong, Fan | |
dc.date.accessioned | 2023-08-03T11:02:12Z | |
dc.date.available | 2023-08-03T11:02:12Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Renjie Han, Fan Kong, Yongbo Peng, A closed-form non-stationary solution of fractional systems with order 1/2 subjected to stochastic excitation, 14th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP14), Dublin, Ireland, 2023. | |
dc.identifier.uri | http://hdl.handle.net/2262/103255 | |
dc.description | PUBLISHED | |
dc.description.abstract | Abstract: This paper develops a novel method for determining a closed-form non-stationary stochastic response of linear systems with fractional derivative order 1/2 and subjected to stationary stochastic excitation. This is achieved by relying on the Laplace transform-based method for the linear fractional system, where the closed-form solution of the pulse response function is obtained by the eigenvector expansion of the state-space equation of the linear system with fractional derivative order 1/2. Pertinent Monte Carlo simulations demonstrate the applicability and accuracy of the proposed method.
keywords: Fractional derivative, eigenvector expansion, Laplace domain, non-stationary response, Pole and residue | |
dc.language.iso | en | |
dc.relation.ispartofseries | 14th International Conference on Applications of Statistics and Probability in Civil Engineering(ICASP14) | |
dc.rights | Y | |
dc.title | A closed-form non-stationary solution of fractional systems with order 1/2 subjected to stochastic excitation | |
dc.title.alternative | 14th International Conference on Applications of Statistics and Probability in Civil Engineering(ICASP14) | |
dc.type | Conference Paper | |
dc.type.supercollection | scholarly_publications | |
dc.type.supercollection | refereed_publications | |
dc.rights.ecaccessrights | openAccess | |