Analytical dynamics of discrete systems
From MaRDI portal
Publication:754674
zbMath0416.70001MaRDI QIDQ754674
Publication date: 1977
Published in: Mathematical Concepts and Methods in Science and Engineering (Search for Journal in Brave)
Lagrangian mechanicsLegendre transformationanalytical dynamicsLiapunov and Poincare stabilityLure's dissipation functionnon holonomic constraintsNovoselov's constant speed drivespinning shell problem
Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrange's equations (70H03) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)
Related Items
Conservation of `moving' energy in nonholonomic systems with affine constraints and integrability of spheres on rotating surfaces ⋮ Analysis of exclusively kinetic two-link underactuated mechanical systems ⋮ Hamiltonian theory of constrained impulsive motion ⋮ Nonholonomic mechanical systems with symmetry ⋮ Hamiltonian systems with constraints and their meaning in mechanics ⋮ Constrained motion revisited ⋮ On the constraint problems of sleigh ⋮ Mechanical systems with nonlinear constraints ⋮ Application of Newton's law of motion to constrained mechanical systems possessing configuration manifolds with time-dependent geometric properties ⋮ Geometry of nonholonomic constraints ⋮ Examples of gauge conservation laws in nonholonomic systems ⋮ Global properties of linear constraints in state space and motion planning ⋮ Dynamics analysis of linear elastic planar mechanisms ⋮ Impulsive motion of multibody systems ⋮ Tackling mismatched uncertainty in robust constraint-following control of underactuated systems ⋮ Adaptive robust control of artificial swarm systems ⋮ A Nonlinear Finite Element Framework for Flexible Multibody Dynamics: Rotationless Formulation and Energy-Momentum Conserving Discretization ⋮ Dynamics modeling and stability of robotic systems with discrete-time force control ⋮ A general efficient approach to dynamic analysis of interconnected mechanical systems using the theory of connections ⋮ Energy-momentum conserving integration of multibody dynamics ⋮ Non-linear spatial Timoshenko beam element with curvature interpolation ⋮ Configuring tasks as constraints for coordinated mechanical systems: a Udwadia-Kalaba theory based adaptive robust control ⋮ Dynamic modeling and optimal robust approximate constraint-following control of constrained mechanical systems under uncertainty: A fuzzy approach ⋮ A jet bundle approach to the variational structure of nonholonomic mechanical systems ⋮ Udwadia-Kalaba constraint-based tracking control for artificial swarm mechanical systems: dynamic approach ⋮ Cooperative game-oriented optimal design in constraint-following control of mechanical systems ⋮ On a time-dependent nonholonomic oscillator ⋮ Dirac structures, nonholonomic systems and reduction ⋮ Wave front behavior of traveling wave solutions for a PDE having square-root dynamics ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3789129 Zur numerischen Behandlung von elastischen St�\en in Mehrk�rpersystemen] ⋮ An overview and recent advances in vector and scalar formalisms: space/time discretizations in computational dynamics -- a unified approach ⋮ Robust trajectory tracking control for uncertain mechanical systems: servo constraint-following and adaptation mechanism ⋮ Adaptive robust approximate constraint-following control for mechanical systems ⋮ Vector and tensor based bond graphs for physical systems modeling ⋮ A novel adaptive robust control approach for underactuated mobile robot ⋮ Rocking instability of a pulled suitcase with two wheels ⋮ Four dipole problem stability of equilibrium points ⋮ A geometric approach to the transpositional relations in dynamics of nonholonomic mechanical systems ⋮ Two forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systems ⋮ On the validity of the vakonomic model and the Chetaev model for constraint dynamical systems ⋮ GEOMETRIC HAMILTON–JACOBI THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS ⋮ The inverse problem for Lagrangian systems with certain non-conservative forces ⋮ Variational development of the semi-symplectic geometry of nonholonomic mechanics ⋮ The motion of whips and chains ⋮ Control of nonlinear systems that are subjected to kinematic inequalities. ⋮ Pars' acceleration paradox ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3343478 Mechanische Systeme mit unstetigen �berg�ngen] ⋮ Hamiltonization of nonholonomic systems and the inverse problem of the calculus of variations ⋮ A note on the conservation of energy and volume in the setting of nonholonomic mechanical systems ⋮ Time-integral theorems for nonholonomic systems ⋮ Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode ⋮ Two degree of freedom gyroscopic systems with linear integrals ⋮ Adaptive robust control methodology for active roll control system with uncertainty ⋮ A constraint-following control for uncertain mechanical systems: given force coupled with constraint force ⋮ On the rectilinear motion of an inextensible string ⋮ Rolling heavy ball over the sphere in \(\mathbb{R}^3\) ⋮ On the Hamiltonian formulation of nonholonomic mechanical systems ⋮ What is a completely integrable nonholonomic dynamical system? ⋮ Lagrangian descriptions of dissipative systems: a review ⋮ Examples of singular nonholonomic reduction ⋮ A conjugate gradient algorithm applied to plane stress-strain problems ⋮ Uniform ultimate boundedness for underactuated mechanical systems as mismatched uncertainty disappeared ⋮ The energy-momentum method for the stability of non-holonomic systems ⋮ Einbau nichtholonomer Nebenbedingungen in die Dissipationsfunktion ⋮ Einbau nichtholonomer Nebenbedingungen in die Dissipationsfunktion ⋮ Constraint-following Servo Control Design for Mechanical Systems ⋮ The complementary property of Lindelöf's work and Chaplygin's work ⋮ Control of a three-link manipulator with a constraint on the velocity of its end-effector ⋮ d’Alembert–Lagrange analytical dynamics for nonholonomic systems ⋮ A new approach to control design for constraint-following for fuzzy mechanical systems ⋮ About Cartan geometrization of non-holonomic mechanics ⋮ Contact Lagrangian systems subject to impulsive constraints ⋮ Nonholonomic reduction