Dynamic Simulation of Multibody Systems Using a New State-Time Methodology

Anderson, Kurt S.; Oghbaei, Mojtaba

doi:10.1007/s11044-005-0724-y

Cited by 2 publications

(4 citation statements)

References 24 publications

(16 reference statements)

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“…These formulas are used to discretize at time t n+1 the equations of motion (1) using an integration step size h:…”

Section: Introduction the Hilber-hughes-taylor Method: General Considmentioning

confidence: 99%

“…(7a)-(7d) is substantially more difficult and prone to intense numerical computation than that of solving ordinary differential equations. For an account of relevant work in the area of numerical integration methods for the DAE of multibody dynamics the reader is referred to [2,7,4,16,1,20,28,34] and references therein.…”

Section: The Multibody Dynamics Problemmentioning

confidence: 99%

“…The HHT method came as an improvement because it preserved the Astability and numerical damping properties, while achieving second order accuracy when used in conjunction with the second order linear ODE problem of Eq. (1). The idea proposed in [22] actually does not pertain the expression of the Newmark integration formulas, but rather the form of the discretized equations of motion in (2c).…”

mentioning

confidence: 99%

“…As indicated in [23], the HHT method will possess the advertised stability and order properties provided α ∈ − 1 3 , 0 and…”

mentioning

confidence: 99%

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On an Implementation of the Hilber-Hughes-Taylor Method in the Context of Index 3 Differential-Algebraic Equations of Multibody Dynamics (DETC2005-85096)

Negrut

Rampalli²,

Óttarsson³

et al. 2006

Journal of Computational and Nonlinear Dynamics

140

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The paper presents theoretical and implementation aspects related to a numerical integrator used for the simulation of large mechanical systems with flexible bodies and contact/impact. The proposed algorithm is based on the Hilber-Hughes-Taylor (HHT) implicit method and is tailored to answer the challenges posed by the numerical solution of index 3 differential-algebraic equations that govern the time evolution of a multibody system. One of the salient attributes of the algorithm is the good conditioning of the Jacobian matrix associated with the implicit integrator. Error estimation, integration step-size control, and nonlinear system stopping criteria are discussed in detail. Simulations using the proposed algorithm of an engine model, a model with contacts, and a model with flexible bodies indicate a 2 to 3 speedup factor when compared against benchmark MSC.ADAMS runs. The proposed HHT-based algorithm has been released in the 2005 version of the MSC.ADAMS/Solver.

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“…These formulas are used to discretize at time t n+1 the equations of motion (1) using an integration step size h:…”

Section: Introduction the Hilber-hughes-taylor Method: General Considmentioning

confidence: 99%

Section: The Multibody Dynamics Problemmentioning

confidence: 99%

mentioning

confidence: 99%

“…As indicated in [23], the HHT method will possess the advertised stability and order properties provided α ∈ − 1 3 , 0 and…”

mentioning

confidence: 99%

See 2 more Smart Citations

On an Implementation of the Hilber-Hughes-Taylor Method in the Context of Index 3 Differential-Algebraic Equations of Multibody Dynamics (DETC2005-85096)

Negrut

Rampalli²,

Óttarsson³

et al. 2006

Journal of Computational and Nonlinear Dynamics

140

View full text Add to dashboard Cite

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An Abstract Multi-Rate Method for Vehicle Dynamics Simulation

Critchley¹,

Jayakumar²

2013

SAE Technical Paper Series

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The design of vehicles increasingly challenges existing cost, weight, durability, and handling regimes. This challenge is further compounded by pressure to decrease or limit the duration of the design cycle. The simulation of vehicle dynamic behavior commonly applies just rigid, or better rigid and linear flexibility models to predict motions and determine load cases. However, as the boundaries of materials are pushed these are becoming insufficient to accurately predict behavior. Alternatively, complete nonlinear finite element representations of vehicle dynamics are always possible but are presently infeasible for the support of a single design under virtual test, not to mention several design iterations. To address these issues, a novel abstract multi-rate simulation method is outlined which is designed to exploit the richness of available model in the vehicle dynamics domain. The method relies on the availability of a virtual continuum of modeling fidelities and uses the fast executing low fidelity models to seed increasingly high fidelity models which execute concurrently in different regions of the time domain. As a result, discontinuities will appear in the states time-histories, and the method must then validate (or invalidate) the discontinuities as being possible states given the chaotic nature of the higher frequency components in the system.Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number.The design of vehicles increasingly challenges existing cost, weight, durability, and handling regimes. This challenge is further compounded by pressure to decrease or limit the duration of the design cycle. The simulation of vehicle dynamic behavior commonly applies just rigid, or better rigid and linear flexibility models to predict motions and determine load cases. However, as the boundaries of materials are pushed these are becoming insufficient to accurately predict behavior. Alternatively, complete nonlinear finite element representations of vehicle dynamics are always possible but are presently infeasible for the support of a single design under virtual test, not to mention several design iterations. To address these issues, a novel abstract multi-rate simulation method is outlined which is designed to exploit the richness of available model in the veh...

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Dynamic Simulation of Multibody Systems Using a New State-Time Methodology

Cited by 2 publications

References 24 publications

On an Implementation of the Hilber-Hughes-Taylor Method in the Context of Index 3 Differential-Algebraic Equations of Multibody Dynamics (DETC2005-85096)

On an Implementation of the Hilber-Hughes-Taylor Method in the Context of Index 3 Differential-Algebraic Equations of Multibody Dynamics (DETC2005-85096)

An Abstract Multi-Rate Method for Vehicle Dynamics Simulation

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