FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2897568306> ?p ?o ?g. }

• W2897568306 endingPage "729" @default.
• W2897568306 startingPage "719" @default.
• W2897568306 abstract "Abstract Over the past three decades, fractional calculus has been of increasingly interest to geotechnical researchers for studying time-dependent problems such as those that arise in Rheology. From previous investigations on Rheology (i.e., [1,2]) it has been shown that the accuracy requirements and the merits of hereditary phenomena with long memory make the fractional calculus an attractive mathematical tool for developing constitutive models. Although the advantages of this mathematical tool were mainly brought out by applying it to rheological problems, the authors are certain that fractional calculus can be used as alternative to integer models for evaluating design response spectra to carry out aseismic structural designs. Accordingly, this paper presents an alternative to generating response spectra of recorded or synthetic time histories using fractional differential equations (FDEs). As it is well known an acceleration response spectrum is the locus of the absolute value of maxima response accelerations of a single degree of freedom system (SDFS) for different natural periods and at a constant damping. A loci of response spectra is developed repeating the above mentioned computations for a set of different damping values. As broadly known, the equation of motion of the simple oscillator is obtained from the equilibrium of inertia, damping, elastic forces and dynamic excitation. This force equilibrium equation yields to a second order differential equation. In this paper only the first order derivative (velocity) of the second order differential equation of motion for the single degree of freedom system is considered fractional. Varying the order of the first order derivative (velocity) influences directly the damping capacity and tangentially the stiffness of the simple oscillator. Accordingly, its natural frequency and spectral ordinates of its response will be modified. As will be shown in the paper these modifications lead to more severe seismic conditions raising the question on the appropriateness of current design spectra specified in construction building codes and used in practice. Pondering this issue, the authors considered that it would be of great interest to use a fractional differential equation to model the simple damped oscillator and develop an alternative way to compute response spectra, particularly if these are more critical than those computed by currently used procedures. Thus, in this work a fractional differential equation (FDE) is used to generate response spectra of a number of recorded acceleration time histories. Furthermore, it is shown that the exponent α of the velocity term (dx/dt into dαx/dtα) of the FDE can be expressed in terms of the SDFS stiffness and damping parameters providing the exponent α physical meaning. Also, it is shown that the SDFS damping ratio is frequency dependent." @default.
• W2897568306 created "2018-10-26" @default.
• W2897568306 creator A5007487849 @default.
• W2897568306 creator A5024683968 @default.
• W2897568306 creator A5037594231 @default.
• W2897568306 date "2018-12-01" @default.
• W2897568306 modified "2023-09-25" @default.
• W2897568306 title "Response spectra generation using a fractional differential model" @default.
• W2897568306 cites W1773569059 @default.
• W2897568306 cites W1993445800 @default.
• W2897568306 cites W2000800833 @default.
• W2897568306 cites W2013318136 @default.
• W2897568306 cites W2037272529 @default.
• W2897568306 cites W2057735566 @default.
• W2897568306 cites W2058920739 @default.
• W2897568306 cites W2063390326 @default.
• W2897568306 cites W2069929445 @default.
• W2897568306 cites W2070312330 @default.
• W2897568306 cites W2078344011 @default.
• W2897568306 cites W2079645392 @default.
• W2897568306 cites W2080520637 @default.
• W2897568306 cites W2083010625 @default.
• W2897568306 cites W2093056734 @default.
• W2897568306 cites W2148181725 @default.
• W2897568306 cites W2166107932 @default.
• W2897568306 cites W2276274171 @default.
• W2897568306 doi "https://doi.org/10.1016/j.soildyn.2018.09.006" @default.
• W2897568306 hasPublicationYear "2018" @default.
• W2897568306 type Work @default.
• W2897568306 sameAs 2897568306 @default.
• W2897568306 citedByCount "2" @default.
• W2897568306 countsByYear W28975683062019 @default.
• W2897568306 countsByYear W28975683062020 @default.
• W2897568306 crossrefType "journal-article" @default.
• W2897568306 hasAuthorship W2897568306A5007487849 @default.
• W2897568306 hasAuthorship W2897568306A5024683968 @default.
• W2897568306 hasAuthorship W2897568306A5037594231 @default.
• W2897568306 hasConcept C110407247 @default.
• W2897568306 hasConcept C117896860 @default.
• W2897568306 hasConcept C121332964 @default.
• W2897568306 hasConcept C134306372 @default.
• W2897568306 hasConcept C14037181 @default.
• W2897568306 hasConcept C154249771 @default.
• W2897568306 hasConcept C199343813 @default.
• W2897568306 hasConcept C2777686260 @default.
• W2897568306 hasConcept C2779728712 @default.
• W2897568306 hasConcept C28826006 @default.
• W2897568306 hasConcept C33923547 @default.
• W2897568306 hasConcept C71924100 @default.
• W2897568306 hasConcept C74650414 @default.
• W2897568306 hasConcept C78045399 @default.
• W2897568306 hasConceptScore W2897568306C110407247 @default.
• W2897568306 hasConceptScore W2897568306C117896860 @default.
• W2897568306 hasConceptScore W2897568306C121332964 @default.
• W2897568306 hasConceptScore W2897568306C134306372 @default.
• W2897568306 hasConceptScore W2897568306C14037181 @default.
• W2897568306 hasConceptScore W2897568306C154249771 @default.
• W2897568306 hasConceptScore W2897568306C199343813 @default.
• W2897568306 hasConceptScore W2897568306C2777686260 @default.
• W2897568306 hasConceptScore W2897568306C2779728712 @default.
• W2897568306 hasConceptScore W2897568306C28826006 @default.
• W2897568306 hasConceptScore W2897568306C33923547 @default.
• W2897568306 hasConceptScore W2897568306C71924100 @default.
• W2897568306 hasConceptScore W2897568306C74650414 @default.
• W2897568306 hasConceptScore W2897568306C78045399 @default.
• W2897568306 hasLocation W28975683061 @default.
• W2897568306 hasOpenAccess W2897568306 @default.
• W2897568306 hasPrimaryLocation W28975683061 @default.
• W2897568306 hasRelatedWork W1964993949 @default.
• W2897568306 hasRelatedWork W2024596432 @default.
• W2897568306 hasRelatedWork W2028073958 @default.
• W2897568306 hasRelatedWork W2032009332 @default.
• W2897568306 hasRelatedWork W2067675714 @default.
• W2897568306 hasRelatedWork W2092722651 @default.
• W2897568306 hasRelatedWork W2158751517 @default.
• W2897568306 hasRelatedWork W218196061 @default.
• W2897568306 hasRelatedWork W2907596335 @default.
• W2897568306 hasRelatedWork W3200474426 @default.
• W2897568306 hasVolume "115" @default.
• W2897568306 isParatext "false" @default.
• W2897568306 isRetracted "false" @default.
• W2897568306 magId "2897568306" @default.
• W2897568306 workType "article" @default.