The direct force correction based framework for general co-rotational analysis

Kan, Ziyun; Dong, Kaijun; Chen, Biaosong; Peng, Haijun; Song, Xueguan

doi:10.1016/j.cma.2021.114018

Cited by 4 publications

(2 citation statements)

References 34 publications

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“…It should be noted that the transmission line system has obvious geometric nonlinear characteristics, and the stiffness matrix cannot be simply multiplied by node displacement when calculating the resistance of the transmission line system due to deformation. In this paper, the co-rotational formulation method (Kan et al , 2021) is adopted to achieve this.…”

Section: Mathematical Model and Verificationmentioning

confidence: 99%

Integrated numerical simulation of an electromagnetic transmission line galloping excitation test system

Zhang

Ruan

Huang

2022

COMPEL

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Purpose This paper aims to establish the mathematical model and solve the complex calculation multi-field coupling problem for an electromagnetic overhead transmission line galloping excitation test system. Design/methodology/approach An electromagnetic excitation test system is introduced. To calculate the vibration response of the transmission line, a transient coupled finite element model containing electromagnetic repulsive mechanism and transmission line system was established. Considering the advantages of Newmark-ß algorithm and fourth-order Runge–Kutta algorithm, the two algorithms are combined to solve the model. Compared with the simulation results of existing commercial finite element software, the accuracy of the calculation model of electromagnetic force and wire vibration response are verified. Findings Comparison results show that the proposed calculation model can accurately obtain the force of electromagnetic mechanism and the vibration response of the overhead power lines, and improve the calculation efficiency. The calculation results show that vibration under electromagnetic excitation presents a double half-wave mode, and the galloping amplitude varies according to the charging voltage. Originality/value This paper built the transient simulation model for a galloping test system. The Newmark-ß algorithm and the fourth-order Runge–Kutta algorithm are used to solve the model. The research results are of great significance for the actual galloping test system design.

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Section: Mathematical Model and Verificationmentioning

confidence: 99%

Integrated numerical simulation of an electromagnetic transmission line galloping excitation test system

Zhang

Ruan

Huang

2022

COMPEL

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“…Method and the principle of field consistency. Kan et al [9] developed a new simplified co-rotational analysis framework to avoid the complex derivation of the nonlinear projection matrix. Although the C.R.…”

Section: Introductionmentioning

confidence: 99%

A Novel Geometric Nonlinear Analysis Method for Planar Beam Structures Based on Co- Rotation and Substructure Method

Liang,

Deng

2023

J. Phys.: Conf. Ser.

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Nonlinear behavior analysis of structures using finite element methods requires multiple iterative solutions. Therefore, improving computational efficiency while ensuring the accuracy of nonlinear calculations is crucial. In this paper, a new geometric nonlinear analysis method for planar beam structures is proposed, based on the co-spinning method and the substructure method, using a substructure containing two planar beam elements as an example. The co-spinning method accurately calculates small deformations by subtracting rigid body displacement from the large displacement of the structure. The substructure method condenses the degrees of freedom of internal nodes into boundary nodes, greatly reducing the order of the nonlinear equilibrium equation group of the structure. The two methods are combined, and a calculation program is developed using the arc length method, which has good performance in solving nonlinear equation groups. Two classic examples are used to verify the correctness of the proposed method by comparing the results with existing literature.

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A 3D corotational beam element formulated on the special Euclidean group SE(3)

Liu

Peng

2023

Computers & Structures

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The direct force correction based framework for general co-rotational analysis

Cited by 4 publications

References 34 publications

Integrated numerical simulation of an electromagnetic transmission line galloping excitation test system

Integrated numerical simulation of an electromagnetic transmission line galloping excitation test system

A Novel Geometric Nonlinear Analysis Method for Planar Beam Structures Based on Co- Rotation and Substructure Method

A 3D corotational beam element formulated on the special Euclidean group SE(3)

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