127016 20241125101155.0 doi 10.1007/s11071-023-08520-9 sideral 134334 ART-2023-134334 eng Martínez, Pedro J. Universidad de Zaragoza (orcid)0000-0002-1625-2785 Ratchet universality in the directed motion of spheres by unbiased driving forces in viscous fluids 2023 Access copy available to the general public Unrestricted Directed motion of a sphere immersed in a viscous fluid and subjected solely to a nonlinear drag force and zero-average biharmonic forces is studied in the absence of any periodic substrate potential. We consider the case of two mutually perpendicular sinusoidal forces of periods T and T/2, respectively, which cannot yield any ratchet effect when acting separately, while inducing directed motion by acting simultaneously. Remarkably and unexpectedly, the dependence on the relative amplitude of the two sinusoidal forces of the average terminal velocity is theoretically explained from the theory of ratchet universality, while extensive numerical simulations confirmed its predictions in the adiabatic limit. Additionally, the dependence on the dimensionless driving frequency of the dimensionless average terminal velocity far from the adiabatic limit is qualitatively explained with the aid of the vibrational mechanics approach. info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOL info:eu-repo/grantAgreement/ES/MICINN/PID2020-113582GB-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 5.2 2023 MECHANICS 14 / 170 = 0.082 2023 Q1 T1 ENGINEERING, MECHANICAL 22 / 183 = 0.12 2023 Q1 T1 1.23 2023 Aerospace Engineering 2023 Q1 Applied Mathematics 2023 Q1 Ocean Engineering 2023 Q1 Control and Systems Engineering 2023 Q1 Mechanical Engineering 2023 Q1 Electrical and Electronic Engineering 2023 Q1 9.0 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Chacón, Ricardo 2002 385 Universidad de Zaragoza Dpto. Física Aplicada Área Física Aplicada 111, 14 (2023), 12973-12982 Nonlinear dyn. Nonlinear Dynamics 0924-090X 2597779 http://zaguan.unizar.es/record/127016/files/texto_completo.pdf Versión publicada 1723284 http://zaguan.unizar.es/record/127016/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:127016 articulos driver 2024-11-22-12:08:39 ARTICLE