2017
DOI: 10.1002/zamm.201500276
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Quasistatic inflation processes within compliant tubes

Abstract: In former work , , and , a mechanical system was considered that models a segment of a live or artificial worm or a balloon for angioplasty that is placed within a cylindrical rigid or compliant tube (vein). Based on the Principle of Minimal Potential Energy and treated as an optimal control problem with state constraint the authors derived a system of differential equations that describes the statics of the inflation process including the shape of the inflated system and the contact forces between balloon and… Show more

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“…While there has been some research on mathematical models of soft environments. For example, literature Vogt et al (2017) describes a soft tube environment, in this study it was necessary to construct a new soft planar model that interacts with a moving robot in a dynamics simulator. We propose the modeling method for a soft floor.…”
Section: Introductionmentioning
confidence: 99%
“…While there has been some research on mathematical models of soft environments. For example, literature Vogt et al (2017) describes a soft tube environment, in this study it was necessary to construct a new soft planar model that interacts with a moving robot in a dynamics simulator. We propose the modeling method for a soft floor.…”
Section: Introductionmentioning
confidence: 99%