Static contact analysis of spiral bevel gear based on modified VFIFE (vector form intrinsic finite element) method

Hou, Xiangying; Fang, Zongde; Zhang, Xijin

doi:10.1016/j.apm.2018.03.021

Cited by 42 publications

(16 citation statements)

References 47 publications

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“…To illustrate the procedures of VFIFE, the space bar assemblies, which have only three translational degrees of freedom (DOFs) on the connected particles, are discussed in this paper [11]. For more information about other types of elements, see [7,8,[12][13][14][15][16][17]21]. The mass of a particle connected to a space bar element consists of two parts: the concentrated mass of the particle and the equivalent mass of the space bar element.…”

Section: Mathematical Implementation Of Vfifementioning

confidence: 99%

“…The continuous development and update of new elements as well as algorithms allow for a wide application of VFIFE in many fields, such as civil engineering [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37], maritime engineering [38][39][40][41][42][43][44][45], mechanical engineering [17] and biomechanics [46]. It is confirmed by these literatures that VFIFE has a great potential for the application to civil and infrastructure engineering.…”

Section: Introductionmentioning

confidence: 96%

“…Obviously, they are not sufficient to apply the VFIFE method to analyze the engineering structures. Fortunately, in recent years, many elements have been successfully developed for the VFIFE framework, such as three-dimensional (3D) truss elements [11], 3D frame elements [12], 3D fine beam elements [8,13], 3-node triangular membrane elements [14], 4-node quadrilateral elements [15], 3-node triangular shell elements [16] and 8-node hexahedral solid elements [17]. In addition, the VFIFE method has been extended to the analysis of the complex behaviors of structures.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, the VFIFE method has been extended to the analysis of the complex behaviors of structures. The new algorithms of large deflection analysis [9,15], elastic-plastic analysis [13,18,19], collapse analysis [20][21][22][23], crack propagation analysis [24] and contact analysis [17,25,26] have been successively proposed based on the VFIFE framework.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

openVFIFE: An Object-Oriented Structure Analysis Platform Based on Vector Form Intrinsic Finite Element Method

et al. 2021

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The vector form intrinsic finite (VFIFE) method is a new and promising structural analysis technique that has many advantages as compared with the conventional finite element method (FEM) in analyzing the complex behaviors of a structure. However, despite the popularization of its application in civil and infrastructure engineering, there is no available unified general analysis framework for it, which limits the applications and developments of VFIFE. This work develops and implements a platform (termed openVFIFE) based on a new proposed object-oriented framework to facilitate the development and application of the vector form intrinsic finite method as well as the efficient and accurate analyses of complex behaviors for civil structures. To validate the platform, a series of numerical examples are conducted. Furthermore, to extend the applications of VFIFE, the nonlinear dynamic and collapse processes of a transmission tower under earthquake load are studied using openVFIFE. The results of these numerical examples simulated by the developed truss or beam elements are consistent with theoretical solutions, previous research or conventional finite element models. The failure modes of the transmission tower under earthquake load simulated by the platform is consistent with those observed in real cases. In addition, the results of nonlinear dynamic analyses of the transmission tower show that the computational efficiency of the proposed platform is 6-10 times higher than that of the conventional finite element method. The results provide sufficient evidence to prove the accuracy and efficiency of the proposed platform in the static, dynamic and elastoplastic analyses of truss and frame structures, especially in the structure analysis characterized by strong geometry nonlinearity. It is noteworthy that in addition to the link and beam elements, further work is undergoing on implementing more elements, such as shell and solid elements. The openVFIFE also allows researchers who are interested in this topic to put their creative ideas into this platform and continuously improve the completeness and applicability of the VFIFE method.

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Section: Mathematical Implementation Of Vfifementioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

openVFIFE: An Object-Oriented Structure Analysis Platform Based on Vector Form Intrinsic Finite Element Method

et al. 2021

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show abstract

“…In the engineering field, the VFIFE method has exhibited good adaptability when dealing with strongly nonlinear problems. For example, Hou et al (2018) derived the equation for 8-node hexahedral elements and applied it in spiral bevel gear meshing problems. Xu and Lin (2017) and Ye and Nian (2017) analyzed the rupture of dome structures and underground pipelines respectively.…”

Section: Introductionmentioning

confidence: 99%

Numerical Approach for Simulating the Tensioning Process of Complex Prestressed Cable-Net Structures

Chen

Zhang

Qian

et al. 2021

Journal of Civil Engineering and Management

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The stability of cable-net structures depends on the prestress of the system. Due to the large displacement and mutual effect of the cables, it is difficult to simulate the tensioning process and control the forming accuracy. The Backward Algorithm (BA) has been used to simulate the tensioning process. The traditional BA involves complicated and tedious matrix operations. In this paper, a new numerical method based on the Vector Form Intrinsic Finite Element (VFIFE) method is proposed for BA application. Moreover, the tensioning sequence of a complex cable-net structure is introduced. Subsequently, a new approach for BA application in the simulation of the tensioning process is presented, which combines the VFIFE approach and the notion of form-finding. Finally, a numerical example is simulated in detail and the results of different tensioning stages are analyzed to verify the feasibility of the proposed approach. This study provides a significant reference for improving the construction control and forming accuracy of complex prestressed cable-net structures.

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A Review on Vector Form Intrinsic Finite Element Method and Its Application

Duan,

Fang,

Wang

et al. 2023

Mechanisms and Machine Science

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Static contact analysis of spiral bevel gear based on modified VFIFE (vector form intrinsic finite element) method

Cited by 42 publications

References 47 publications

openVFIFE: An Object-Oriented Structure Analysis Platform Based on Vector Form Intrinsic Finite Element Method

openVFIFE: An Object-Oriented Structure Analysis Platform Based on Vector Form Intrinsic Finite Element Method

Numerical Approach for Simulating the Tensioning Process of Complex Prestressed Cable-Net Structures

A Review on Vector Form Intrinsic Finite Element Method and Its Application

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