This paper presents a finite element formulation for the seismic response of damped structural systems. Damping is obtained using a viscoelastic material, which is characterized by a constitutive law with fractional derivatives. The weighted residue method is applied resulting in a fractional motion equation, which is numerically integrated through an implicit scheme in combination with the constant acceleration Newmark method. An example of application is presented, in which the response of a cantilever beam with free layer damping is analyzed. The material properties are identified from the material experimental characterization, where the parameters of the fractional model were identified by curve fitting. The results of the simulation are compared with the experimental ones, concluding that the tendencies observed in the measurements are reproduced.
Finite Element Analysis of the Seismic Response of Damped Structural Systems Including Fractional Derivative Models
Contributed by the Technical Committee on Vibration and Sound Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 17, 2013; final manuscript received April 11, 2014; published online July 25, 2014. Assoc. Editor: Thomas J. Royston.
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Cortés, F., and Jesús Elejabarrieta, M. (July 25, 2014). "Finite Element Analysis of the Seismic Response of Damped Structural Systems Including Fractional Derivative Models." ASME. J. Vib. Acoust. October 2014; 136(5): 050901. https://doi.org/10.1115/1.4027457
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