A new absolute nodal coordinate formulation beam element with multilayer circular cross section

Peng, Lan; Tian, Qinglong; Yu, Zuqing

doi:10.1007/s10409-019-00897-4

Cited by 27 publications

(7 citation statements)

References 32 publications

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“…( 37), the evaluation of elastic forces can be considered as a volumetric integration of a polynomial function   ,, f    over the volume of the beam element. according to [51], the numerical integration can be calculated by…”

Section: S S S S S S S S Smentioning

confidence: 99%

Sensitivity analysis of deployable flexible space structures with a large number of design parameters

Wang

Tian

et al. 2021

Nonlinear Dyn

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The reliability and dynamic performance of deployable flexible space structures significantly depend on their key design parameters. Sensitivity analysis of these design parameters in the frame of multibody dynamics can serve as a powerful tool to evaluate and improve the dynamic performances of deployable space structures.Nevertheless, previous studies on the dynamic sensitivity analysis are mainly confined to planar multibody systems with a few design parameters. In this study, an efficient computational methodology is proposed to perform the dynamic sensitivity analysis of the complex deployable space structures with a large number of design parameters.Firstly, the analytical sensitivity analysis formulations of objective functions with the parameter-dependent integration bounds are deduced via the direct differentiation method and adjoint variable method. A checkpointing scheme is further introduced to assist the backward integration of the high dimensional differential algebraic equations of the adjoint variables. The flexible beams in the deployable flexible space structure are described by the locking-free three-node spatial beam elements of absolute nodal coordinate formulation. Furthermore, a parallelized automatic differentiation algorithm is proposed to efficiently evaluate the complex partial derivatives in the sensitivity analysis formulations. Finally, four numerical examples are provided to validate the accuracy and efficiency of the proposed computational methodology.

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Section: S S S S S S S S Smentioning

confidence: 99%

Sensitivity analysis of deployable flexible space structures with a large number of design parameters

Wang

Tian

et al. 2021

Nonlinear Dyn

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“…The structure of the tower crane could be described by the traditional finite element method, 28 and the varying-length and large deformation of the steel sling can be modeled based on the Absolute Nodal Coordinate Formulation (ANCF). [29][30][31][32] Since the global position and gradient vectors are used as nodal coordinates. There is no transformation between the local and global coordinates.…”

Section: Introductionmentioning

confidence: 99%

Multibody system dynamic analysis and payload swing control of tower crane

Liu

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part K:

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A new payload swing control method considering the vibration of tower crane is proposed in this study. The coupling between the structural vibration and the payload swing is neglected in existing studies on tower crane swing suppression. Changes of sling length are considered as disturbances. They cause the existing methods of swing suppression method ineffectual in the actual working situation. In contrast, the structural vibration of the tower crane is taken into account in this study. At the same time, the sling length is regarded as a control variable to reduce the payload swing. A new swing suppression algorithm is proposed in conjunction with phase plane analysis method. In addition, a systematical tower crane multibody system dynamic analysis platform with changing of sling length is established to verify the effectiveness of the algorithm. The traditional finite element method is used to model the tower body and boom of tower crane while the Arbitrary Lagrange Euler Absolute Nodal Coordinate Formulation (ALE-ANCF) cable element is applied for modeling the sling. This two parts are connected with sliding joint obtaining the tower crane multibody system model. Numerical examples show that the proposed method can reduce the swing amplitude the payload effectively when considering the coupling between the structural vibration and the payload swing.

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“…The formulation is a nonlinear finite element approach that can be used for a wide variety of applications; however, it has been mostly used for beam-and platelike structures [9]. Some of the most recent developments include enhancements in numerical performance [14,18,20,34]. Applications of the ANCF include soft machines [13], biological tissues [29,30], cables and wires [12,19], pneumatic elements [37], dielectric elastomer actuators [24], railroad track structures [33], and rotating shafts [4].…”

Section: Introductionmentioning

confidence: 99%

Analysis of electromechanical systems based on the absolute nodal coordinate formulation

et al. 2022

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The absolute nodal coordinate formulation (ANCF) approach has been successfully used to analyze bodies undergoing large deformations in multibody dynamics applications. In this study, the ANCF is extended to the analysis of coupled electromechanical systems. To this end, the electrostatic equations are solved by means of conventional plane finite elements, and the ANCF is used to describe the geometrically nonlinear elastic deformation of a thin beam. Bidirectional coupling between electrostatic and elastic domains was introduced using an iterative staggering algorithm. The results illustrate that the ANCF approach can be applied to electromechanical problems when objects are discretized using beam and plate elements. Two numerical examples of microbeams subject to an electrostatic field are used to validate the proposed solution strategy and to reveal characteristic features of fully coupled electromechanical solutions accounting for finite strain theory.

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A new absolute nodal coordinate formulation beam element with multilayer circular cross section

Cited by 27 publications

References 32 publications

Sensitivity analysis of deployable flexible space structures with a large number of design parameters

Sensitivity analysis of deployable flexible space structures with a large number of design parameters

Multibody system dynamic analysis and payload swing control of tower crane

Analysis of electromechanical systems based on the absolute nodal coordinate formulation

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