Nonlinear passive tremor control of human arm

Abstract

An academic model for passive vibration control of human arm suffering from essential tremors is proposed. The nonlinear uncontrolled system equations are linearised around arbitrary postural positions showing variations of linear natural frequencies as functions of postural positions. The coupled system, i.e. the model of the arm with the attached nonlinear absorber, is treated via a time multiple scale method leading to detection of fast and slow systems dynamics. These dynamics provide design tools for tuning parameters of the nonlinear absorber.

Soluções alternativas para redução dos tremores patológicos da doença de Parkinson: Uma revisão do estado da arte

“…Zhang et al, 2011D. Zhang et al, , 2011, atuador mecânico (Abbasi & Afsharfard, 2018;Arnold et al, 1993;Dantas de sá et al, 2019;Herrnstadt & Menon, 2016;Pledgie et al, 2000;Rocon et al, 2007;Taheri et al, 2014Taheri et al, , 2015Zahedi et al, 2021;Zamanian & Richer, 2019;Zhou et al, 2017), sistemas amortecidos (Buki et al, 2018;Case et al, 2013;Fromme et al, 2020;Kotovsky & Rosen, 1998;Ture Savadkoohi et al, 2021) e materiais inteligentes (Abbasi & Afsharfard, 2018;Kelley & Kauffman, 2020).…”

“…O estudo de (Ture Savadkoohi et al, 2021) apresenta um modelo matemático para o desenvolvimento e determinação de parâmetros de absorvedores dinâmicos de vibrações de natureza não linear para aplicação na redução de tremores patológicos.…”

“…Dentre os trabalhos de sistemas amortecidos (Buki et al, 2018;Fromme et al, 2020) tem resultados experimentais com bancadas que simulam tremores e há aqueles que não apresentaram resultados na redução do tremor (Case et al, 2013;Kotovsky & Rosen, 1998;Ture Savadkoohi et al, 2021).…”

A Review of Techniques Used to Suppress Tremor

“…The nonlinear absorber's properties can be tuned using these dynamics as design tools. The proposed absorber may be seen to be capable of controlling (mathematically) diverging arm responses [76].…”

Nonlinear passive control of a pendulum submitted to base excitations

“…There are some works which are investigated on behaviors of double pendulums with different applications, such as biomechanics. As an example, we can mention, modeling locomotion of human arm [38] and its passive control due to some diseases [39]. Some works are devoted to study triple pendulums which can have applications in lots to mechanical components and systems such as piston-connecting rod system [40][41][42].…”