Input optimization for flexible multibody systems using the adjoint variable method and the flexible natural coordinates formulation

Vanpaemel, Simon; Vermaut, Martijn; Desmet, Wim; Naets, Frank

doi:10.1007/s11044-023-09874-z

Cited by 4 publications

(2 citation statements)

References 25 publications

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“…The multi-body system is divided into a multi-rigid body system and a multi-flexible body system. The development of multi-rigid body dynamics theory has become mature today, and the multi-flexible body system is the majority in practical problems, and the theoretical method of multi-flexible body dynamics can be mainly divided into floating coordinate system method and absolute node coordinate method [18][19][20][21] The replaceable interface mast dynamics system is a typical multibody system that includes both rigid and flexible bodies, and the modeling methods with natural coordinates [22,23] and the absolute nodal coordinate formulation [24][25][26] are suitable and effective due to their own advantages. To establish the dynamic model of a rigid-flexible multibody system, it is necessary to describe the rigid body motion and the deformation motion of the flexible body separately [27][28][29][30][31].…”

Section: Methodsmentioning

confidence: 99%

Research on Deployment Process Dynamics and Vibration for Replaceable Interface Mast

Liu,

Wen,

Zhang

2024

Machines

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The mast of the rover is a device used to carry precision instruments such as cameras on the rover, and its performance directly affects the working quality of these devices. The replaceable interface mast can effectively solve the problems of a single structure and poor maintenance of ordinary masts, so we study the deployment process dynamics properties and vibration for replaceable interface mast. Firstly, we analyzed the spatial motion of the reconfigurable rigid body module by the absolute node coordinate method and the natural coordinate method, and established the dynamic equation of the interface, the reconfigurable module without external constraints. Then, we established a dynamic model of the mast system deployment process. We analyzed the dynamic behavior of the replaceable interface mast and studied and compared the differences in the deployment behavior of the replaceable interface mast under different system configurations, flexible interface geometric parameters, and different driving rules. Finally, we built a model of the mast system and experimentally analyzed the deployment process of the replaceable interface mast. Using numerical solution and experimental verification, we proved that the established dynamic model of the mast system can correctly analyze the deployment behavior dynamics of the replaceable interface mast, and the study can provide a reference for the design and behavior analysis of the mast system.

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Section: Methodsmentioning

confidence: 99%

Research on Deployment Process Dynamics and Vibration for Replaceable Interface Mast

Liu,

Wen,

Zhang

2024

Machines

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“…The combination of AVM-FNCF has already been applied for parameter identification [32] and input optimization [33] in flexible multibody models.…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization for Dynamic Flexible Multibody Systems Using the Flexible Natural Coordinates Formulation

Vanpaemel

Asrih

Vermaut

et al. 2023

Preprint

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A discrete adjoint gradient approach for equality and inequality constraints in dynamics

Lichtenecker,

Nachbagauer

2024

Multibody Syst Dyn

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The optimization of multibody systems requires accurate and efficient methods for sensitivity analysis. The adjoint method is probably the most efficient way to analyze sensitivities, especially for optimization problems with numerous optimization variables. This paper discusses sensitivity analysis for dynamic systems in gradient-based optimization problems. A discrete adjoint gradient approach is presented to compute sensitivities of equality and inequality constraints in dynamic simulations. The constraints are combined with the dynamic system equations, and the sensitivities are computed straightforwardly by solving discrete adjoint algebraic equations. The computation of these discrete adjoint gradients can be easily adapted to deal with different time integrators. This paper demonstrates discrete adjoint gradients for two different time-integration schemes and highlights efficiency and easy applicability. The proposed approach is particularly suitable for problems involving large-scale models or high-dimensional optimization spaces, where the computational effort of computing gradients by finite differences can be enormous. Three examples are investigated to validate the proposed discrete adjoint gradient approach. The sensitivity analysis of an academic example discusses the role of discrete adjoint variables. The energy optimal control problem of a nonlinear spring pendulum is analyzed to discuss the efficiency of the proposed approach. In addition, a flexible multibody system is investigated in a combined optimal control and design optimization problem. The combined optimization provides the best possible mechanical structure regarding an optimal control problem within one optimization.

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Input optimization for flexible multibody systems using the adjoint variable method and the flexible natural coordinates formulation

Cited by 4 publications

References 25 publications

Research on Deployment Process Dynamics and Vibration for Replaceable Interface Mast

Research on Deployment Process Dynamics and Vibration for Replaceable Interface Mast

Topology Optimization for Dynamic Flexible Multibody Systems Using the Flexible Natural Coordinates Formulation

A discrete adjoint gradient approach for equality and inequality constraints in dynamics

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