The undulatory motion of a chain of particles in a resistive medium

DOI10.1002/zamm.201000112zbMath1251.70015OpenAlexW2018414650MaRDI QIDQ5392923

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Publication date: 15 April 2011

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201000112

zbMATH Keywords

dry frictionmobile systemsviscous frictionkinematic excitationresistive mediaundulatory excitation

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Problems involving a system of particles with friction (70F40) Discontinuous ordinary differential equations (34A36) Dynamics of multibody systems (70E55) Averaging of perturbations for nonlinear problems in mechanics (70K65)

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The advantage of mucus for adhesive locomotion in gastropods ⋮ Optimal control of vibrationally excited locomotion systems ⋮ Dynamics of a three-module vibration-driven system with non-symmetric Coulomb's dry friction ⋮ The motion of a two-body limbless locomotor along a straight line in a resistive medium ⋮ On the motion of lumped‐mass and distributed‐mass self‐propelling systems in a linear resistive environment ⋮ Dynamics of two interconnected mass points in a resistive medium ⋮ Periodic gaits of a locomotion system of interacting bodies ⋮ Controllabilty of a two-body crawling system on an inclined plane ⋮ Periodic locomotion of a two‐body crawling system along a straight line on a rough inclined plane ⋮ Nonreversible motion of a system of interacting bodies along a rough horizontal straight line ⋮ On the optimal control of rate-independent soft crawlers ⋮ A comprehensive study on the locomotion characteristics of a metameric earthworm-like robot. Part A: Modeling and gait generation ⋮ Optimal control of system of material points in a straight line with dry friction ⋮ The undulatory motion of a chain of particles in a resistive medium in the case of a smooth excitation mode ⋮ Crawling scallop: friction-based locomotion with one degree of freedom

Cites Work

• The influence of friction forces on the dynamics of a two-link mobile robot
• Quasi-static motion of a two-link system along a horizontal plane
• Dynamics of a two-module vibration-driven system moving along a rough horizontal plane
• Dynamics of controlled motion of vibration-driven systems
• Experimental investigation of snakelike motions of a three-link mechanism
• Optimal motion control for a system of two bodies on a straight line
• Motion of a mechanism along a rough inclined plane using the motion of internal oscillating masses
• Control of a three-link robot moving on the plane with friction
• On the Optimal Motion of a Body with an Internal Mass in a Resistive Medium

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