A tight coupling scheme for smooth/non-smooth multibody co-simulation of a particle damper

Self Cite

An explicit cosimulation scheme is developed to study the coupling of smooth and nonsmooth systems using kinematic constraints. Using the force-displacement decomposition, the coupling constraints are formulated at the velocity level, to preserve consistency with the impulse-momentum equations for frictional contacts in the nonsmooth solver, which however potentially leads to instability of the explicit cosimulation. To improve the stability of the cosimulation without affecting the format of the coupling constraints, guidelines for the modification of the prescribed motion are developed following the spirit of Baumgarte’s stabilization technique and the characteristics of the proposed integration scheme, which prescribes a combination of position, velocity, and acceleration to the constrained bodies. Using modified inputs, the stability of the cosimulation is tested using a rigidly connected two-mass oscillator model, which shows clear improvement compared to that with unaltered inputs. The performances of the cosimulation with modified inputs are further illustrated using a double-pendulum system and a complex flexible multibody system coupled with a particle damper. It follows that cosimulation results well agree with those obtained using monolithic simulation or simplified models, verifying the explicit smooth/nonsmooth cosimulation. The results also show a higher efficiency of the explicit cosimulation scheme, which requires much less computational time to obtain similar results, compared to the implicit smooth/nonsmooth cosimulation.

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Explicit smooth/nonsmooth cosimulation using kinematic constraints

Zhang

Zhang²,

Zanoni

et al. 2022

Self Cite

“…Quantifying how much they deviate from theoretically correct results is even more challenging. If the integration formulas used inside the subsystems are known, it is possible to evaluate the stability of the coupling scheme by its spectral radius [10,33,36]. A measure of stability, however, does not include all relevant information about the accuracy of the results.…”

Section: Energy-based Indicators For Explicit Co-simulationmentioning

confidence: 99%

Energy-based monitoring and correction to enhance the accuracy and stability of explicit co-simulation

Rodríguez

Sputh

et al. 2022

The simulation of complex engineering applications often requires the consideration of component-level dynamics whose nature and time-scale differ across the elements of which the system is composed. Co-simulation offers an effective approach to deal with the modelling and numerical integration of such assemblies by assigning adequate description and solution methods to each component. Explicit co-simulation, in particular, is frequently used when efficient code execution is a requirement, for instance in real-time setups. Using explicit schemes, however, can lead to the introduction of energy artifacts at the discrete-time interface between subsystems. The resulting energy errors deteriorate the accuracy of the co-simulation results and may in some cases develop into the instability of the numerical integration process. This paper discusses the factors that influence the severity of the energy errors generated at the interface in explicit co-simulation applications, and presents a monitoring and correction methodology to detect and remove them. The method uses only the information carried by the variables exchanged between the subsystems and the co-simulation manager. The performance of this energy-correction technique was evaluated in multi-rate co-simulation of mechanical and multiphysics benchmark examples.

Co-simulation with variable approximation order: order control algorithm for solver coupling approaches

Kraft

Schweizer

2022

Considering co-simulation and solver coupling approaches, the coupling variables have to be approximated within a macro-time step (communication-time step), e.g., by using extrapolation/interpolation polynomials. Usually, the approximation order is assumed to be fixed. The efficiency and accuracy of a co-simulation may, however, be increased by using a variable approximation order. Therefore, a technique to control the integration order is required. Here, an order control algorithm for co-simulation and solver coupling methods is presented. The order controller is incorporated into the control algorithm for the macro-step size so that co-simulations with variable integration order and variable macro-step size can be carried out. Different numerical examples are presented, which illustrate the applicability and benefit of the proposed order control strategy. This contribution mainly focuses on mechanical systems. The presented techniques may, however, also be applied to nonmechanical dynamical systems.