A path following method for identifying static equilibrium in multi-body-dynamic systems

Determining states of static equilibrium for multi-body-dynamic (MBD) systems can be challenging and may result in convergence failure for nonlinear static solvers. Analysts are often faced with uncertainty in regards to the values of candidate equilibrium states or whether a state of minimum potent...

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Bibliographic Details
Published inMultibody system dynamics Vol. 45; no. 3; pp. 315 - 359
Main Authors Rose, Geoffrey K., Newman, Brett A., Nguyen, Duc T.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 15.03.2019
Springer Nature B.V
Subjects
Arches
Automotive Engineering
Computer simulation
Control
Damping
Dynamical Systems
Electrical Engineering
Engineering
Equilibrium
Failure analysis
Mechanical Engineering
Nonlinear analysis
Optimization
Potential energy
Robustness (mathematics)
Solvers
Static equilibrium
Trajectory planning
Uncertainty
Vibration
Multi-body-dynamics
Nonlinear equations
Arc-length method
Path following
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Summary:Determining states of static equilibrium for multi-body-dynamic (MBD) systems can be challenging and may result in convergence failure for nonlinear static solvers. Analysts are often faced with uncertainty in regards to the values of candidate equilibrium states or whether a state of minimum potential energy was found. In the event of static solver failure or uncertainty with regards to a candidate solution, equilibrium could be obtained through a dynamic simulation which may require the addition of artificial damping. However, this method can have significant computational expense as compared to static solution procedures. Using MBD systems representing a pendulum, two variations of a spring supported arch, and a seven-body mechanism, arc-length solvers were found suitable for identifying equilibrium states through a robust production of static solution curves thereby avoiding dynamic simulation. Using these examples, a procedure for finding the correct equilibrium state for general systems is proposed.
ISSN:1384-5640
1573-272X
DOI:10.1007/s11044-018-9618-7