Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963527178> ?p ?o ?g. }
- W2963527178 endingPage "393" @default.
- W2963527178 startingPage "363" @default.
- W2963527178 abstract "Lyapunov stability of a mechanical system means that the dynamic response stays bounded in an arbitrarily small neighborhood of a static equilibrium configuration under small perturbations in positions and velocities. This type of stability is highly desired in robotic applications that involve multiple unilateral contacts. Nevertheless, Lyapunov stability analysis of such systems is extremely difficult, because even small perturbations may result in hybrid dynamics where the solution involves many non-smooth transitions between different contact states. This paper concerns Lyapunov stability analysis of a planar rigid body with two frictional unilateral contacts under inelastic impacts, for a general class of equilibrium configurations under a constant external load. The hybrid dynamics of the system under contact transitions and impacts is formulated, and a Poincare map at two-contact states is introduced. Using invariance relations, this Poincare map is reduced into two semi-analytic scalar functions that entirely encode the dynamic behavior of solutions under any small initial perturbation. These two functions enable determination of Lyapunov stability or instability for almost any equilibrium state. The results are demonstrated via simulation examples and by plotting stability and instability regions in two-dimensional parameter spaces that describe the contact geometry and external load." @default.
- W2963527178 created "2019-07-30" @default.
- W2963527178 creator A5016659631 @default.
- W2963527178 creator A5068527808 @default.
- W2963527178 date "2017-01-19" @default.
- W2963527178 modified "2023-10-18" @default.
- W2963527178 title "Lyapunov stability of a rigid body with two frictional contacts" @default.
- W2963527178 cites W1504362584 @default.
- W2963527178 cites W1514487078 @default.
- W2963527178 cites W1550227333 @default.
- W2963527178 cites W1965961478 @default.
- W2963527178 cites W1969195402 @default.
- W2963527178 cites W1974314122 @default.
- W2963527178 cites W1977001952 @default.
- W2963527178 cites W1988837728 @default.
- W2963527178 cites W1993229498 @default.
- W2963527178 cites W1995977818 @default.
- W2963527178 cites W1997148003 @default.
- W2963527178 cites W2001760752 @default.
- W2963527178 cites W2008902109 @default.
- W2963527178 cites W2009821296 @default.
- W2963527178 cites W2018932766 @default.
- W2963527178 cites W2020977579 @default.
- W2963527178 cites W2029294123 @default.
- W2963527178 cites W2037049066 @default.
- W2963527178 cites W2051890856 @default.
- W2963527178 cites W2062063134 @default.
- W2963527178 cites W2062174770 @default.
- W2963527178 cites W2071649964 @default.
- W2963527178 cites W2074034420 @default.
- W2963527178 cites W2075273574 @default.
- W2963527178 cites W2080595168 @default.
- W2963527178 cites W2088983946 @default.
- W2963527178 cites W2093801937 @default.
- W2963527178 cites W2094018894 @default.
- W2963527178 cites W2099308299 @default.
- W2963527178 cites W2103907684 @default.
- W2963527178 cites W2105763741 @default.
- W2963527178 cites W2105793964 @default.
- W2963527178 cites W2111788778 @default.
- W2963527178 cites W2120666720 @default.
- W2963527178 cites W2120719361 @default.
- W2963527178 cites W2124889948 @default.
- W2963527178 cites W2128786364 @default.
- W2963527178 cites W2129275525 @default.
- W2963527178 cites W2130980192 @default.
- W2963527178 cites W2131307165 @default.
- W2963527178 cites W2136253904 @default.
- W2963527178 cites W2146227737 @default.
- W2963527178 cites W2156018100 @default.
- W2963527178 cites W2157924809 @default.
- W2963527178 cites W2158276044 @default.
- W2963527178 cites W2159324075 @default.
- W2963527178 cites W2163862895 @default.
- W2963527178 cites W2173894963 @default.
- W2963527178 cites W2240883112 @default.
- W2963527178 cites W2401840706 @default.
- W2963527178 cites W2964153186 @default.
- W2963527178 cites W3105249619 @default.
- W2963527178 cites W4238307931 @default.
- W2963527178 cites W4293078920 @default.
- W2963527178 cites W3101948819 @default.
- W2963527178 doi "https://doi.org/10.1007/s11071-016-3247-6" @default.
- W2963527178 hasPublicationYear "2017" @default.
- W2963527178 type Work @default.
- W2963527178 sameAs 2963527178 @default.
- W2963527178 citedByCount "9" @default.
- W2963527178 countsByYear W29635271782016 @default.
- W2963527178 countsByYear W29635271782018 @default.
- W2963527178 countsByYear W29635271782019 @default.
- W2963527178 countsByYear W29635271782020 @default.
- W2963527178 countsByYear W29635271782021 @default.
- W2963527178 countsByYear W29635271782023 @default.
- W2963527178 crossrefType "journal-article" @default.
- W2963527178 hasAuthorship W2963527178A5016659631 @default.
- W2963527178 hasAuthorship W2963527178A5068527808 @default.
- W2963527178 hasBestOaLocation W29635271782 @default.
- W2963527178 hasConcept C112972136 @default.
- W2963527178 hasConcept C119857082 @default.
- W2963527178 hasConcept C121332964 @default.
- W2963527178 hasConcept C145980571 @default.
- W2963527178 hasConcept C154945302 @default.
- W2963527178 hasConcept C158622935 @default.
- W2963527178 hasConcept C2775924081 @default.
- W2963527178 hasConcept C33923547 @default.
- W2963527178 hasConcept C41008148 @default.
- W2963527178 hasConcept C47446073 @default.
- W2963527178 hasConcept C57879066 @default.
- W2963527178 hasConcept C60640748 @default.
- W2963527178 hasConcept C62520636 @default.
- W2963527178 hasConcept C74650414 @default.
- W2963527178 hasConceptScore W2963527178C112972136 @default.
- W2963527178 hasConceptScore W2963527178C119857082 @default.
- W2963527178 hasConceptScore W2963527178C121332964 @default.
- W2963527178 hasConceptScore W2963527178C145980571 @default.
- W2963527178 hasConceptScore W2963527178C154945302 @default.
- W2963527178 hasConceptScore W2963527178C158622935 @default.
- W2963527178 hasConceptScore W2963527178C2775924081 @default.