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A system of inverted nonsmooth pendula: modelling an elderly person stepping over an obstacle
journal contribution
posted on 2023-06-09, 17:48 authored by Pascal Stiefenhofer, Peter GieslPeter Giesl, Heiko WagnerWe derive a mechanical model of human motion where an elderly person decides to step over an obstacle rather than avoiding it. Such a decision may be deliberate or forced due to a sudden appearing obstacle in his/her way. The model is represented by a nonautonomous system of ordinary differential equations with discontinuous right hand side. We provide a notion of lateral stability. It is shown that increasing the angle between legs increases stability linearly. This implies that an individual reduces the risk of falling due to stepping over an obstacle by increasing the angle between legs.
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Publication status
- Published
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- Published version
Journal
Nonlinear Analysis and Differential EquationsISSN
2367-4814Publisher
HikariExternal DOI
Issue
1Volume
7Page range
17-32Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Analysis and Partial Differential Equations Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2019-05-17First Open Access (FOA) Date
2019-05-17First Compliant Deposit (FCD) Date
2019-05-16Usage metrics
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