SIMPACK — A Computer Program for Simulation of Large-motion Multibody Systems

Rulka, W.

doi:10.1007/978-3-642-50995-7_16

Cited by 53 publications

(32 citation statements)

References 4 publications

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“…As discussed for example in [23,52], multibody systems can be modeled in different ways. We use in each mode an equation of the form 0 = F ℓ (p ℓ , v ℓ , λ ℓ ) given by…”

Section: Numerical Integration Of Hdaesmentioning

confidence: 99%

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Numerical solution of hybrid systems of differential-algebraic equations

Hamann

Mehrmann

2008

Computer Methods in Applied Mechanics and Engineering

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Abstract. We present a mathematical framework for general over-and underdetermined hybrid (switched) systems of differential-algebraic equations (HDAEs). We give a systematic formulation of HDAEs and discuss existence and uniqueness of solutions, the treatment of the switch points and how to perform consistent initialization at switch points.We show how numerical solution methods for DAEs can be adapted for HDAEs and present a numerical results for these methods for the real world example of simulating an automatic gearbox.

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“…As discussed for example in [23,52], multibody systems can be modeled in different ways. We use in each mode an equation of the form 0 = F ℓ (p ℓ , v ℓ , λ ℓ ) given by…”

Section: Numerical Integration Of Hdaesmentioning

confidence: 99%

“…More sophisticated multibody formalisms such as in [5,52], however, in general may lead to more complicated transition functions.…”

Section: Numerical Integration Of Hdaesmentioning

confidence: 99%

Numerical solution of hybrid systems of differential-algebraic equations

Hamann

Mehrmann

2008

Computer Methods in Applied Mechanics and Engineering

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“…The parameter No is fixed to NO = 100 11s. The large number of simulations is performed with the MBS program SIMPACK [15]. Figure 17 shows the achieved enhancement of the system behavior after selecting the control parameters Zo = 2 .…”

Section: Active Space Structurementioning

confidence: 99%

Active Damping of Space Structures by Contact Pressure Control in Joints∗

Gaul¹,

Lenz²,

Sachau

1998

Mechanics of Structures and Machines

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Lightweight flexible structures; e.g., for large deployable space systems, often consist of truss structures. Microslip and macroslip in the joint contact surfaces are the dominating dissipation mechanisms, when compared to material damping and environmental damping, if no additional damping measures are applied. So far only control of operational modes by actuators in the truss element is realized. This paper aims to control the nonlinear transfer behavior of joints by adapting the contact pressure. This is achieved by piezoelectric elements in bolted connections. Active joint description by ordinary differential equations (ODE) with internal variables, based on experimental data, is implemented in the hybrid multibody system (MBS) of the assembled truss structure. The structural response is decomposed into large rigid body motion and superimposed small elastic deformations. 'Communicated by E. J. Haug 82 GAUL, LENZ, AND SACHAUThe equations of motion are linearized by a perturbation technique based on the splitting of low frequency and high frequency modal contents. The flexibility of the MBS is treated by superposition of structural modes calculated by the finite element method (FEM), in the sense of a Ritz approximation. Simulation of free, as well as forced, vibrations of the structure with active joints in a closed control loop underline the gain of damping performance compared to the associated passive system.

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“…Such singular systems arise naturally from control problems (see, e.g., [11,16]) in form of underdetermined problems or from automatic model generators (see, e.g., [3,15,18]) in form of (consistent) overdetermined systems. Throughout the rest of the paper, we use the shorthand notation k = min{m, n}.…”

Section: E(t)ẋ = A(t)x + F (T) (11)mentioning

confidence: 99%

Characterization of classes of singular linear differential-algebraic equations

Kunkel

Mehrmann

2005

ELA

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Abstract. Linear, possibly over-or underdetermined, differential-algebraic equations are studied that have the same solution behavior as linear differential-algebraic equations with well-defined strangeness index. In particular, three different characterizations are given for differential-algebraic equations, namely by means of solution spaces, canonical forms, and derivative arrays. Two levels of generalization are distinguished, where the more restrictive case contains an additional assumption on the structure of the set of consistent inhomogeneities.

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SIMPACK — A Computer Program for Simulation of Large-motion Multibody Systems

Cited by 53 publications

References 4 publications

Numerical solution of hybrid systems of differential-algebraic equations

Numerical solution of hybrid systems of differential-algebraic equations

Active Damping of Space Structures by Contact Pressure Control in Joints∗

Characterization of classes of singular linear differential-algebraic equations

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