2019/05/20 by Soheil Fatehiboroujeni, Fatehiboroujeni, Soheil, Arvind Gopinath +3
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Advanced Materials and Mechanics #Biological Physics (physics.bio-ph) #Cellular Mechanics and Interactions #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Micro and Nano Robotics #Microtubule and mitosis dynamics
paper · pdf · doi:10.48550/arxiv.1905.08421
openalex publication_date 2019/05/20 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28
Elastically driven filaments subjected to animating compressive follower\nforces provide a synthetic way to mimic the oscillatory beating of active\nbiological filaments such as eukaryotic cilia. The dynamics of such active\nfilaments can, under favorable conditions, exhibit stable time-periodic\nresponses that result due to the interplay of elastic buckling instabilities,\ngeometric constraints, boundary conditions, and dissipation due to fluid drag.\nIn this paper, we use a continuum elastic rod model to estimate the critical\nfollower force required for the onset of the stable time-periodic flapping\noscillations in pre-stressed rods subjected to fluid drag. The pre-stress is\ngenerated by imposing either clamped-clamped or clamped-pinned boundary\nconstraints and the results are compared with those of clamped-free case, which\nis without pre-stress. We find that the critical value increases with the\ninitial slack--that quantifies the pre-stress, and strongly depends on the type\nof the constraints at the boundaries. The frequency of oscillations far from\nthe onset, however, depends primarily on the magnitude of the follower force,\nnot on the boundary constraints. Interestingly, oscillations for the\nclamped-pinned case are observed only when the follower forces are directed\ntowards the clamped end. This finding can be exploited to design a mechanical\nswitch to initiate or quench the oscillations by reversing the direction of the\nfollower force or altering the boundary conditions.\n