We propose stable control laws for all the phases of the system. Despite the rapid gains in our understanding of what occurs when continuous joints and couplings interact, until now there were no books devoted exclusively to this intriguing phenomenon. The paper gives on overview of possible formulations of spatial contact situations as they occur in dynamic systems composed of rigid bodies. One area of multibody theory that has received a great deal of attention in recent years is the dynamics of multiple contact situations occurring in continuous joints and couplings. The differential equation-based computational model is shown to be realistic and efficient in simulating impact sequence and laid a foundation for detailed finite element analysis of the interior impact response of an electronic device.
A sufficient condition for all potentially active constraints to remain active or become passive is provided by the solution of a complementarity problem that, in a planar case, is linear and argues at acceleration level by self-excluding kinetic indicators. In recent years, much research effort in science and engineering has focussed on nonsmooth dynamical systems12345678 91011. Switch On — Schwingungslehre, von U. Every physical or mathematical Science has to face these properties by developing on their side new methods, new practice-proved algorithms up to new fundamentals adaptable to new technological developments. Nonlinear Dynamics 41 4 , pp. A 2007 365, 3-9, The Royal Society, London, 2007. The procedure is illustrated by determining the 2D and 3D cam profiles with analytical formulations.
Different models on the fast time scale are proposed and techniques for experimental validation of the models are given. Boundary or interface nonlinearities are suitable for boundary element method. Please click button to get multibody dynamics with unilateral contacts book now. As such, it is a valuable resource for engineers working on mechanical systems with interrelated multiple parts. Some historical remarks show that multibody system dynamics is based on classical mechanics and its engineering applications ranging from mechanisms, gyroscopes, satellites and robots to biomechanics. The effects stiction, sliding, stick — slip are discussed.
The energy for this impulsive process comes from motor-engine vibrations in connection with a nonlinear behaviour of the clutch. The impact will interrupt the smooth overall motion and caused the complex phenomena such as elastic wave propagation, deformation at the contact region and reactions at the other joints of the system etc, which will affect significantly the dynamic behavior of mechanical systems. The algebraic inclusion describing the contact problem is solved with an Augmented Lagrangian approach. As an example, the wave propagation in a thin rod struck by a moving rigid body is discussed and analytical results describing the longitudinal wave propagation are given in detail so that these results may be used to validate some numerical programs for contact and impact analysis using the finite element methods or the boundary element methods, respectively. Archive of Applied Mechanics 69, pp. Then, we develop an energy absorption scheme using an arrangement of balls with different sizes. Pages 107-116 Response of Secondary Structures in Stochastic Systems with Impacts.
Acta Mechanica 168 1—2 , pp. خلاصه کتاب به زبان اصلی : Multibody dynamics started with the ideas of Jacob and Daniel Bernoul li and later on with d'Alembert's principle. In this way, the linear behaviour of the string when not in contact with the barrier can be controlled via a mode by mode fitting, so that the model is particularly well suited for comparisons with experiments. Pages 233-242 Conservative Discretization Algorithms for Dynamic Contact Between Nonlinear Elastic Bodies. The system's dynamic behaviors in the impact process are analyzed, and the accuracy of the two impact dynamic theories is verified.
An experimental configuration is used with a point obstacle either centered or near an extremity of the string. A cam driving a lumped inertia through an elastic slider-crank follower linkage with its actuator, a D. Multibody dynamics started with the ideas of Jacob and Daniel Bernoul- li and later on with d'Alembert's principle. Pages 213-222 Dynamics of Piecewise Linear oscillators with Viscous and Constant Damping. Journal of Vibration and Control, Vol. These topology variant systems are characterized by the fact that, during the evolution in time, their number of degrees of freedom changes by latent constraints becoming active or passive due to and controlled by the system dynamics itself.
The arising problems are, in general, variational and hemivariational inequalities. The theory and numerical methods are applied to the Tippe-Top. For self-induced oscillation within a global or regional attractor, invariant level sets of a piecewise quadratic Lyapunov function are obtained to bound the attractor via linear matrix inequality based optimization. Numerical analysis of the velocities, as well as, the reactions and impulses in the contact points is achieved. They are positioned loosely between the roots of turbine blades improving the damping of blade vibrations by generating dry friction from the relative motion of blades and damper.
A principal pivot algorithm for this problem is suggested. A systematic development for the theory of envelopes with proof is presented. The absolute values of the tangential impulses are bounded by the magnitudes of the normal impulses, due to the Coulomb friction relationship on the impulse level. In: Hybrid Systems: Computation and Control. Audience: The book will be of interest to structural and mechanical engineers involved in nondestructive testing and quality control projects as well as to research engineers and applied mathematicians who study and solve related inverse problems. The inverse problems are formulated as output error minimization problems and they are theoretically studied as a bilevel optimization problem, also known as a mathematical problem with equilibrium constraints.
International Journal of Circuit Theory and Applications 33 3 , pp. Our framework describes the complete behaviour of the mechanical system under the action of a unilateral constraint. Lecture Notes in Applied Mechanics 1, Springer Verlag, Berlin, Heidelberg 2001, 222 pages. Typical examples are cam follower and cam roller devices as well as all kinds of gears. Therefor, the framework for non-smooth dynamics of multibody systems including elastic impacts is applicated to a finite element description for beams in free planar motion. Thereby the efficiency and accuracy of the multi-scale simulation approach are verified; the influence of physical parameters on the impact process as well as the agreement of the instantaneous and continuous impact modelling are demonstrated. English translation in Journal of Applied Mathematics and Mechanics 64 5 , pp.