FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313478672> ?p ?o ?g. }

• W4313478672 endingPage "103410" @default.
• W4313478672 startingPage "103410" @default.
• W4313478672 abstract "A technique based on the concept of Wiener path integral (WPI) is developed for determining approximately the joint response probability density function (PDF) of nonlinear oscillators endowed with fractional derivative elements. Specifically, first, the dependence of the state of the system on its history due to the fractional derivative terms is accounted for, alternatively, by augmenting the response vector and by considering additional auxiliary state variables and equations. In this regard, the original single-degree-of-freedom (SDOF) nonlinear system with fractional derivative terms is cast, equivalently, into a multi-degree-of-freedom (MDOF) nonlinear system involving integer-order derivatives only. From a mathematics perspective, the equations of motion referring to the latter can be interpreted as constrained. Second, to circumvent the challenge of increased dimensionality of the problem due to the augmentation of the response vector, a WPI formulation with mixed fixed/free boundary conditions is developed for determining directly any lower-dimensional joint PDF corresponding to a subset only of the response vector components. This can be construed as an approximation-free dimension reduction approach that renders the associated computational cost independent of the total number of stochastic dimensions of the problem. Thus, the original SDOF oscillator joint PDF corresponding to the response displacement and velocity is determined efficiently, while circumventing the computationally challenging task of treating directly equations of motion involving fractional derivatives. Two illustrative numerical examples are considered for demonstrating the reliability of the developed technique. These pertain to a nonlinear Duffing and a nonlinear vibro-impact oscillators with fractional derivative elements subjected to combined stochastic and deterministic periodic loading. Note that alternative standard approximate techniques, such as statistical linearization, need to be significantly modified and extended to account for such cases of combined loading. Remarkably, it is shown herein that the WPI technique exhibits the additional advantage of treating such types of excitation in a straightforward manner without the need for any ad hoc modifications. Comparisons with pertinent Monte Carlo simulation data are included as well." @default.
• W4313478672 created "2023-01-06" @default.
• W4313478672 creator A5003397248 @default.
• W4313478672 creator A5052728154 @default.
• W4313478672 creator A5065925052 @default.
• W4313478672 date "2023-01-01" @default.
• W4313478672 modified "2023-10-12" @default.
• W4313478672 title "A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries" @default.
• W4313478672 cites W1634824914 @default.
• W4313478672 cites W1970142545 @default.
• W4313478672 cites W1978235180 @default.
• W4313478672 cites W1992516344 @default.
• W4313478672 cites W2014446594 @default.
• W4313478672 cites W2024914221 @default.
• W4313478672 cites W2025279325 @default.
• W4313478672 cites W2041183314 @default.
• W4313478672 cites W2051988367 @default.
• W4313478672 cites W2060649740 @default.
• W4313478672 cites W2079929453 @default.
• W4313478672 cites W2080296395 @default.
• W4313478672 cites W2080520637 @default.
• W4313478672 cites W2081194914 @default.
• W4313478672 cites W2083898980 @default.
• W4313478672 cites W2231239123 @default.
• W4313478672 cites W2795950781 @default.
• W4313478672 cites W2809954265 @default.
• W4313478672 cites W2883855945 @default.
• W4313478672 cites W2954090525 @default.
• W4313478672 cites W2958845028 @default.
• W4313478672 cites W3004844625 @default.
• W4313478672 cites W3005416511 @default.
• W4313478672 cites W3006339943 @default.
• W4313478672 cites W3037761057 @default.
• W4313478672 cites W3114833583 @default.
• W4313478672 cites W4210767976 @default.
• W4313478672 doi "https://doi.org/10.1016/j.probengmech.2022.103410" @default.
• W4313478672 hasPublicationYear "2023" @default.
• W4313478672 type Work @default.
• W4313478672 citedByCount "4" @default.
• W4313478672 countsByYear W43134786722023 @default.
• W4313478672 crossrefType "journal-article" @default.
• W4313478672 hasAuthorship W4313478672A5003397248 @default.
• W4313478672 hasAuthorship W4313478672A5052728154 @default.
• W4313478672 hasAuthorship W4313478672A5065925052 @default.
• W4313478672 hasConcept C121332964 @default.
• W4313478672 hasConcept C134306372 @default.
• W4313478672 hasConcept C154018700 @default.
• W4313478672 hasConcept C154249771 @default.
• W4313478672 hasConcept C158622935 @default.
• W4313478672 hasConcept C28826006 @default.
• W4313478672 hasConcept C33923547 @default.
• W4313478672 hasConcept C62520636 @default.
• W4313478672 hasConcept C84114770 @default.
• W4313478672 hasConceptScore W4313478672C121332964 @default.
• W4313478672 hasConceptScore W4313478672C134306372 @default.
• W4313478672 hasConceptScore W4313478672C154018700 @default.
• W4313478672 hasConceptScore W4313478672C154249771 @default.
• W4313478672 hasConceptScore W4313478672C158622935 @default.
• W4313478672 hasConceptScore W4313478672C28826006 @default.
• W4313478672 hasConceptScore W4313478672C33923547 @default.
• W4313478672 hasConceptScore W4313478672C62520636 @default.
• W4313478672 hasConceptScore W4313478672C84114770 @default.
• W4313478672 hasFunder F4320306076 @default.
• W4313478672 hasFunder F4320321001 @default.
• W4313478672 hasFunder F4320322186 @default.
• W4313478672 hasFunder F4320337391 @default.
• W4313478672 hasLocation W43134786721 @default.
• W4313478672 hasOpenAccess W4313478672 @default.
• W4313478672 hasPrimaryLocation W43134786721 @default.
• W4313478672 hasRelatedWork W1497853864 @default.
• W4313478672 hasRelatedWork W1859674131 @default.
• W4313478672 hasRelatedWork W2065284654 @default.
• W4313478672 hasRelatedWork W2082446734 @default.
• W4313478672 hasRelatedWork W2253351617 @default.
• W4313478672 hasRelatedWork W2494568668 @default.
• W4313478672 hasRelatedWork W2783417900 @default.
• W4313478672 hasRelatedWork W3127842299 @default.
• W4313478672 hasRelatedWork W4254377558 @default.
• W4313478672 hasRelatedWork W4313560640 @default.
• W4313478672 hasVolume "71" @default.
• W4313478672 isParatext "false" @default.
• W4313478672 isRetracted "false" @default.
• W4313478672 workType "article" @default.