Numerische Methoden in der Mehrkörperdynamik

Eich, Edda; Führer, Claus

doi:10.1007/978-3-642-79763-7_3

Cited by 2 publications

(3 citation statements)

References 3 publications

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“…numerica; integration a/gontims, were incorporated or developed, some of them in close correlation with formulating the equations of motion, [5]. Beyond the ,,normal" solvers for time-integration (i.e.…”

Section: Simpackmentioning

confidence: 99%

Interdisciplinary landing gear layout for large transport aircraft

Krüger¹,

Spieck²

1998

7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization

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One major task of an aircraft landing gear is the absorption of vertical energy which will mostly result either from the landing impact or from overrunning bumps and other ground irregularities. The necessity to limit the applied landing gear loads at the high stroke velocities at touch-down leads to damping characteristics which provide only little damping action at less vehement movements. Aircraft with high fuselage flexibility are therefore prone to vibration and resonance phenomena. The conventional approach of developing the landing gear separately from the airframe with only simple models to represent the aircraft ground dynamic properties seems no longer appropriate. Multibody system simulation is proposed as the basic software tool of an interdisciplinary development process which takes into account the elastic interaction between the aircraft components. The multibody system technique is aimed towards the simulation of the dynamics of a technical system in its entity, thus forming a core element of computer aided engineering software. Bi-directional interfaces to other software packages allow the integration of modeling and analysis data from a broad range of engineering disciplines. A case study demonstrates the optimization of a large transport aircraft landing gear layout in a multidisciplinary design environment. The aim is to improve the aircraft ride comfort on uneven runways without loss of landing impact absorbing qualities. Two landing gear concepts are considered: a conventional passive landing gear and a semi-active landing gear.

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Section: Simpackmentioning

confidence: 99%

Interdisciplinary landing gear layout for large transport aircraft

Krüger¹,

Spieck²

1998

7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization

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“…We may now establish the structure of the discrete SSF. For the constrained truck model described in [9] and the 2-step Adams-Moulton method with step size h = 0.01 we get the eigenvalues given in Table 1. Table 2 shows the eigenvalues of the constrained truck in its index 3 formulation.…”

Section: The Discrete State Space Formmentioning

confidence: 99%

“…An With an obvious change of notation we will consider these problems in the condensed form 5 = f ( z ) -9(x)T 1, 0 = g(z) , (1.3a, b) where z represents n, = 2np position and velocity variables, and the algebraic variable 1 represents nn Lagrange multipliers. For index 2 problems, 9 ( z ) = ag/ax, and 9 ( z ) 9 There are several different ways of discretizing this problem, [2]. The usual multistep discretization of (1.3) is @ .…”

Section: Introductionmentioning

confidence: 99%

β‐blocked Multistep Methods for Euler‐Lagrange DAEs: Linear Analysis

Arévalo¹,

Führer²,

Söderlind³

1997

Z Angew Math Mech

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Many different methods have been suggested for the numerical solution of index 2 and 3 Euler‐Lagrange equations. We focus on 0‐stability of multistep methods (φ, σ) and investigate the relations between some well‐known computational techniques. By various modifications, referred to as β‐blocking of the σ polynomial, some basic shortcomings of multistep methods may be overcome. This approach is related to projection techniques and has a clear and well‐known analogy in control theory. In particular, it is not necessary to use BDF methods for the solution of high index problems; indeed, “nonstiff” methods may be used for part of the system provided that the state‐space form is nonstiff. We illustrate the techniques and demonstrate the results with a simplified multibody model of a truck.

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Numerische Methoden in der Mehrkörperdynamik

Cited by 2 publications

References 3 publications

Interdisciplinary landing gear layout for large transport aircraft

Interdisciplinary landing gear layout for large transport aircraft

β‐blocked Multistep Methods for Euler‐Lagrange DAEs: Linear Analysis

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