Model order reduction based on successively local linearizations for flexible multibody dynamics

2018 ◽  
Author(s):  
Yixuan Tang ◽  
Haiyan Hu ◽  
Qiang Tian
Keyword(s):  
Multibody Dynamics ◽  
Model Order Reduction ◽  
Flexible Multibody Dynamics ◽  
Order Reduction ◽  
Model Order ◽  
Flexible Multibody

Model-Order Reduction of Flexible Multibody Dynamics Via Free-Interface Component Mode Synthesis Method

2020 ◽  
Vol 15 (10) ◽  
Author(s):  
Qinglong Tian ◽  
Peng Lan ◽  
Zuqing Yu
Keyword(s):  
Model Order Reduction ◽  
Multibody System ◽  
Order Reduction ◽  
Motion Equation ◽  
Component Mode Synthesis ◽  
Flexible Multibody System ◽  
Model Order ◽  
Free Interface ◽  
Equilibrium Configurations ◽  
Flexible Multibody

Abstract A new method of model-order reduction for the flexible multibody system which undergoes large deformation and rotation is proposed. At first, the flexible multibody system is modeled by absolute nodal coordinate formulation (ANCF), and then, the whole motion process of the system is divided into a series of quasi-static equilibrium configurations according to a given criterion. Afterward, motion equation is locally linearized based on the Taylor expansion. Therefore, the constant tangent stiffness matrix is obtained and does not need to be updated until the next configuration. Based on the locally linearized motion equation, the free-interface component mode synthesis (CMS) method is adopted to reduce the degrees-of-freedom (DOF) of the flexible multibody system molded by ANCF. The generalized-α integrator is used to solve the reduced motion equation. To verify the accuracy and efficiency of the proposed method, three examples including a free-falling pendulum, a flexible spinning beam and a deployable sail arrays are presented. Results show that the proposed method is able to reduce the computing time and maintain high accuracy.

scholarly journals Evolution of Flexible Multibody Dynamics for Simulation Applications Supporting Human Spaceflight

2016 ◽  
Author(s):  
An Huynh ◽  
Thomas A. Brain ◽  
John R. MacLean ◽  
Leslie J. Quiocho
Keyword(s):  
Real Time ◽  
Multibody Dynamics ◽  
Space Shuttle ◽  
Space Station ◽  
Flexible Multibody Dynamics ◽  
Order Reduction ◽  
Contact Dynamics ◽  
Human Spaceflight ◽  
Concept Evaluation ◽  
Flexible Multibody

During the course of transition from the Space Shuttle and International Space Station programs to the Orion and Journey to Mars exploration programs, a generic flexible multibody dynamics formulation and associated software implementation has evolved to meet an ever changing set of requirements at the NASA Johnson Space Center (JSC). Challenging problems related to large transitional topologies and robotic free-flyer vehicle capture/release, contact dynamics, and exploration missions concept evaluation through simulation (e.g., asteroid surface operations) have driven this continued development. Coupled with this need is the requirement to oftentimes support human spaceflight operations in real-time. Moreover, it has been desirable to allow even more rapid prototyping of on-orbit manipulator and spacecraft systems, to support less complex infrastructure software for massively integrated simulations, to yield further computational efficiencies, and to take advantage of recent advances and availability of multi-core computing platforms. Since engineering analysis, procedures development, and crew familiarity/training for human spaceflight are fundamental to JSC’s charter, there is also a strong desire to share and reuse models in both the non-real-time and real-time domains, with the goal of retaining as much multibody dynamics fidelity as possible. Three specific enhancements are reviewed here: (1) linked list organization to address large transitional topologies, (2) body level model order reduction, and (3) parallel formulation/implementation. This paper provides a detailed overview of these primary updates to JSC’s flexible multibody dynamics algorithms as well as a comparison of numerical results to previous formulations and associated software.

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