Systemdynamik und Regelung von Fahrzeugen

Kortüm, W.; Lugner, Peter

doi:10.1007/978-3-642-47623-5

Cited by 72 publications

(33 citation statements)

References 32 publications

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“…For a mechanical driver system, the desired fundamental motion can be the motion of working components of the driver system, in which the driver output rotates uniformly and all components are assumed to be rigid. It is very convenient to linearize the equations of motion of this configuration in order to take advantage of the linear analysis tools [12][13][14][15][16]. In other words, linearization makes it possible to use tools for studying linear systems to analyze the behavior of multibody systems in the vicinity of a desired fundamental motion.…”

Section: M(q T)q + K(q Q T) = H(q Q T)mentioning

confidence: 99%

“…In other words, linearization makes it possible to use tools for studying linear systems to analyze the behavior of multibody systems in the vicinity of a desired fundamental motion. For this reason, the linearization of the equations of motion is most useful in the study of control [12,13], machinery vibrations [14,16] and the stability of motion [15][16][17][18][19]. Mathematically, the linearized equations of motion of a multibody system usually form a set of linear differential equations with time-varying coefficients.…”

Section: M(q T)q + K(q Q T) = H(q Q T)mentioning

confidence: 99%

“…As already mentioned in the previous section, these differential equations can be expressed in the compact matrix formẋ = P(t)x + f(t) (12) where x is the vector of state variables, matrix P(t) and vector f(t) are periodic in time with period T . The system of homogeneous differential equations corresponding to (12) iṡ…”

Section: Periodic Vibrations Of Multibody Systemsmentioning

confidence: 99%

“…The solution of (21) gives us the initial value for the periodic solution of (12). Finally, the periodic solution of (12) with the corresponding initial value can be calculated without difficulty by using numerical methods.…”

Section: Periodic Vibrations Of Multibody Systemsmentioning

confidence: 99%

See 3 more Smart Citations

Linearization and parametric vibration analysis of some applied problems in multibody systems

Nguyen

Hoang

2009

Multibody Syst Dyn

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The paper deals with the application of the Runge-Kutta method for calculating steady-state periodic vibrations of the parametric vibration systems governed by linearized differential equations. The numerical calculation is also demonstrated by two models of multibody systems and measurements on real objects. Good agreement is obtained between the numerical and experimental results. Consequently, the obtained results can also be applicable to investigate other complicated models of multibody systems which perform the steady-state motions.

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Section: M(q T)q + K(q Q T) = H(q Q T)mentioning

confidence: 99%

Section: M(q T)q + K(q Q T) = H(q Q T)mentioning

confidence: 99%

Section: Periodic Vibrations Of Multibody Systemsmentioning

confidence: 99%

Section: Periodic Vibrations Of Multibody Systemsmentioning

confidence: 99%

See 2 more Smart Citations

Linearization and parametric vibration analysis of some applied problems in multibody systems

Nguyen

Hoang

2009

Multibody Syst Dyn

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“…vehicle and track, establish by means of the MBS formalism, [Sha89,KL94], the left hand side of the equations of motion and a part of the right hand side forces, whereas the elements defining the aerodynamic model contribute only to the right hand side according to Eq. (2.9).…”

Section: Modelling and Simulationmentioning

confidence: 99%

Reliability based analysis of the crosswind stability of railway vehicles

Carrarini

2007

Journal of Wind Engineering and Industrial Aerodynamics

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Modelling in vehicle dynamics of automobiles

Lugner

Plöchl

2004

Z Angew Math Mech

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Key words modelling of mechanical systems, vehicle dynamics, model of automobile, car and control modelling MSC (2000) 04A25A general problem formulation and the resulting scheme of modelling dynamical system behaviour is introduced before a specification with respect to automobiles is done. An essential component for the vehicle behaviour is the tyre. Models of different complexity with respect to its mathematical-mechanical formulation are presented. Simple models of the automobile itself allow a separation of longitudinal, lateral, and vertical dynamics and a partially analytical derivation of corresponding equations of motion. These models are usually also the approximations used for the design of a state observer and controller to influence the vehicle behaviour. For a more detailed representation of the vehicle 3D-models are assembled by their individual components, e.g. suspensions, drive train, and steering system. In this way a good agreement between measurements and simulation results can be realized up to the nonlinear range of vehicle behaviour. Nowadays MBS-models, established with professional software packages, are applied. They integrate all essential components, taking into account different linkages, e.g. bushings and joints. For component strength design, a rough road surface description can be implemented additionally. To improve by simulation the active safety or handling of the vehicle, these models represent the controlled complex vehicle in the global control loop whereas linearized models as mentioned above are applied for the controller design. As an example the design of an extended ESP-controller and its consequences for severe braking conditions during cornering are discussed showing the necessary steps in modelling and their mathematical formulation.

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Systemdynamik und Regelung von Fahrzeugen

Cited by 72 publications

References 32 publications

Linearization and parametric vibration analysis of some applied problems in multibody systems

Linearization and parametric vibration analysis of some applied problems in multibody systems

Reliability based analysis of the crosswind stability of railway vehicles

Modelling in vehicle dynamics of automobiles

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