We develop a numerical scheme to determine which planar snake motions are optimal for locomotory efficiency, across a wide range of frictional parameter space. For a large coefficient of transverse friction, we show that retrograde traveling waves are optimal. We give an asymptotic analysis showing that the optimal wave amplitude decays as the -1/4 power of the coefficient of transverse frictio...

Protein translocation in cells has been modelled by Brownian ratchets. In such models, the protein diffuses through the nanopore by thermal fluctuations. On one side of the pore ratcheting molecules bind to the protein and hinder it to diffuse out of the pore. We study a simple Brownian ratchet by means of a reflected Brownian motion (Xt)t≥0 with a changing reflection point (Rt)t≥0. The rate of...

Thermally induced ratcheting of a thermo-active pile is the accumulation net and irreversible head displacement upon heating–cooling cycles. Although this kind phenomenon has been observed in vertically loaded piles sand, it unknown whether exists laterally cases, also what underlying mechanisms occur under thermomechanical flexural soil–pile interaction. This study presents series centrifuge t...

Cold dwell fatigue is a well-known problem in the titanium components of aircraft engines. The high temperature and low stress in-service conditions have been reported to give rise resistance through thermal-mechanical alleviation process. Here, tests at room component operating were performed on IMI834 alloy assess microstructural effects cold while eliminating effect chemical composition. rat...

We develop and analyze a minimal hydrodynamic model to understand why a drop climbs a smooth homogeneous incline that is harmonically vibrated at an angle different from the substrate normal [P. Brunet, J. Eggers, and R. D. Deegan, Phys. Rev. Lett. 99, 144501 (2007)]. We find that the vibration component orthogonal to the substrate induces a nonlinear (anharmonic) response in the drop shape. Th...