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http://hdl.handle.net/2440/299
Mon, 18 Dec 2017 16:27:28 GMT2017-12-18T16:27:28ZModelling the floating ladder track response to a moving load by an infinite Bernoulli-Euler beam on periodic flexible supports
http://hdl.handle.net/2440/109994
Title: Modelling the floating ladder track response to a moving load by an infinite Bernoulli-Euler beam on periodic flexible supports
Author: Hosking, R.; Milinazzo, F.
Abstract: An infinite Bernoulli-Euler beam (representing the “combined rail” consisting of the rail and longitudinal sleeper) mounted on periodic flexible point supports (representing the railpads) has already proven to be a suitable mathematical model for the floating ladder track (FLT), to define its natural vibrations and its forced response due to a moving load. Adopting deliberately conservative parameters for the existing FLT design, we present further results for the response to a steadily (uniformly) moving load when the periodic supports are assumed to be elastic, and then introduce the mass and viscous damping of the periodic supports. Typical support damping significantly moderates the resulting steady deflexion at any load speed, and in particular substantially reduces the magnitude of the resonant response at the critical speed. The linear mathematical analysis is then extended to include the inertia of the load that otherwise moves uniformly along the beam, generating overstability at supercritical speeds - i.e. at load speeds notably above the critical speed predicted for the resonant response when the load inertia is neglected. Neither the resonance nor the overstability should prevent the safe implementation of the FLT design in modern high speed rail systems.Sun, 01 Jan 2012 00:00:00 GMThttp://hdl.handle.net/2440/1099942012-01-01T00:00:00ZFu-Kane-Mele monopoles in semimetals
http://hdl.handle.net/2440/109903
Title: Fu-Kane-Mele monopoles in semimetals
Author: Thiang, G.; Sato, K.; Gomi, K.
Abstract: Abstract not availableSun, 01 Jan 2017 00:00:00 GMThttp://hdl.handle.net/2440/1099032017-01-01T00:00:00ZSome dynamical properties of pseudo-automorphisms in dimension 3
http://hdl.handle.net/2440/109784
Title: Some dynamical properties of pseudo-automorphisms in dimension 3
Author: Truong, T.
Abstract: Let X be a compact Kähler manifold of dimension 3 and let f : X → X be a pseudo-automorphism. Under the mild condition that λ1(f)2 > λ2(f), we prove the existence of invariant positive closed (1, 1) and (2, 2) currents, and we also discuss the (still open) problem of intersection of such currents. We prove a weak equi-distribution result for Green (1, 1) currents of meromorphic selfmaps, not necessarily algebraic 1-stable, of a compact Kähler manifold of arbitrary dimension and discuss how a stronger equidistribution result may be proved for pseudo-automorphisms in dimension 3. As a byproduct, we show that the intersection of some dynamically related currents is well-defined with respect to our definition here, even though not obviously to be seen so using the usual criteria.Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/2440/1097842016-01-01T00:00:00ZGeometric properties of upper level sets of Lelong numbers on projective spaces
http://hdl.handle.net/2440/109779
Title: Geometric properties of upper level sets of Lelong numbers on projective spaces
Author: Coman, D.; Truong, T.
Abstract: Let T be a positive closed current of unit mass on the complex projective space Pn. For certain valuesα < 1, we prove geometric properties of the set of points in Pn where the Lelong number of T exceeds α.We also consider the case of positive closed currents of bidimension (1,1) on multiprojective spaces.Thu, 01 Jan 2015 00:00:00 GMThttp://hdl.handle.net/2440/1097792015-01-01T00:00:00Z