Vasileios Fragkoulis


30167 Hannover


RESEARCH
- applied mathematics
- computational stochastic mechanics
- nonlinear stochastic dynamics
- uncertainty quantification methodologies
- fractional calculus modeling
BIOGRAPHY
Dr. Vasileios Fragkoulis is a Research Fellow in the Institute for Risk and Reliability at the Leibniz University of Hanover. He received his Ph.D. from the Department of Mathematical Sciences at the University of Liverpool. He also holds a M.Sc. degree and a 5-year Diploma from the School of Applied Mathematical and Physical Sciences at the National Technical University of Athens, both in the area of Applied Mathematical Sciences. Dr. Fragkoulis’ research interests focus on the general area of Applied Mathematics and Uncertainty Quantification and primarily, on mathematical modeling and analysis of (stochastic) dynamical systems with diverse applications in civil/mechanical engineering as well as theoretical and applied mechanics. Specifically, the development of analytical/numerical mathematical techniques in the fields of nonlinear stochastic dynamics constitutes one of his main research themes. In particular, part of his Ph.D. research focused on developing efficient solution methodologies for determining the response statistics of nonlinear and complex systems. The complexity relates to the governing (stochastic) equations of motion that include hysteretic operators, fractional derivatives, as well as singular matrices. Such unconventional and challenging modeling is associated with developing transformative technologies and devices, such as robotic systems, energy harvesters, and nano-materials.
LEHRVERANSTALTUNGEN
JOURNAL-ARTIKEL
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(2020): Harmonic wavelets based response evolutionary power spectrum determination of linear and nonlinear structural systems with singular matrices, Mechanical Systems and Signal Processing, 149, Article 107203 | Datei |
DOI: 10.1016/j.ymssp.2020.107203 -
(2019): Non-stationary response statistics of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitation, Nonlinear Dynamics, 7, 1–13, doi 10.1007/s11071-019-05124-0
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(2017): Random vibration of linear and nonlinear structural systems with singular matrices: A frequency domain approach, Journal of Sound and Vibration, 404:84-101
DOI: 10.1016/j.jsv.2017.05.038 -
(2016): Statistical linearization of nonlinear structural systems with singular matrices, ASCE Journal of Engineering Mechanics, 142(9):04016063-11
DOI: 10.1061/(ASCE)EM.1943-7889.0001119 -
(2015): Linear random vibration of structural systems with singular matrices, ASCE Journal of Engineering Mechanics, 142(2):04015081-11
DOI: 10.1061/(ASCE)EM.1943-7889.0001000