On the simultaneous presence of unilateral and kinetic constraints in time-dependent impulsive mechanics

DOI10.1063/1.2234728zbMath1112.70014OpenAlexW2045025021MaRDI QIDQ3441999

Stefano Pasquero

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2234728

zbMATH Keywords

left jet-bundleright jet-bundlespace-time bundle

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items

Variational approach to impulsive differential equations, Ideal characterizations of multiple impacts: A frame–independent approach by means of jet–bundle geometry, Existence of solutions for a class of second-order Hamiltonian systems with impulsive effects, Determining the internal reactions due to permanent constraints acting on ideal impulsive systems, Invariant forms in hybrid and impact systems and a taming of Zeno, Applications of the Poincaré-Birkhoff theorem to impulsive Duffing equations at resonance, An application of variational method to a class of Dirichlet boundary value problems with impulsive effects, Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects, Multiplicity of solutions for a class of impulsive differential equations with Dirichlet boundary conditions via variant fountain theorems, A computer-assisted geometric approach to the analysis of the impact of billiard balls. I: Ideal impacts, Symmetric and asymmetric multiple impulsive constraints without friction and their characterization, Nonideal unilateral constraints in impulsive mechanics: A geometric approach, Variational approach to some damped Dirichlet problems with impulses

Cites Work

• Constraints in impulsive mechanics and Gauss's minimum principle
• New geometrical frameworks for classical impulsive mechanics
• Geometric formulation of Carnot's theorem
• Mechanical systems subjected to generalized non-holonomic constraints
• Geometric formulation of mechanical systems with one-sided constraints
• Ideality criterion for unilateral constraints in time-dependent impulsive mechanics
• Mechanical systems subjected to impulsive constraints
• Geometric formulation of mechanical systems subjected to time-dependent one-sided constraints