Extension of the FGM Beam Finite Element by Warping Torsion

Muŕın, Just́ın; Hrabovský, Juraj; Aminbaghai, Mehdi; Kutiš, Vladimı́r; Paulech, Juraj; Kugler, Stephan

doi:10.2478/scjme-2019-0017

Cited by 2 publications

(2 citation statements)

References 15 publications

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“…Their research evaluated the impact of various transformation matrices on analysis outcomes, highlighting how the selection of these matrices significantly affects the results [34]. Furthermore, extensive research has been undertaken to innovate numerical analysis methods for beam warping analysis, as evidenced by several studies in this field [35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Application and Experimental Validation of Seven-Degree-of-Freedom Beam Element for Girder Bridges during Deck Construction

Hui,

Ashiquzzaman,

Hindi

2023

Infrastructures

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During bridge deck construction, the deck finishing machine and the fresh concrete often produce large vertical loads and torsional moments acting on the bridge girder system. In some cases, these loads can cause excessive vertical deflection and transverse rotation in the bridge girders, leading to many maintenance and safety problems, such as changes in deck thickness and local and global instabilities during construction. To minimize the potential problems caused by deck construction, the AASHOTO LRFD Bridge Design Specification requires consideration of these torsional moments during the design procedure, and a detailed three-dimensional finite element analysis may be conducted. However, for bridge girders with open-section thin-walled sections, only the solid or shell element can be used to recognize the warping of the girder since the torsional warping effect is not included in the classical beam element. In this research, a warping degree of freedom was added to a beam element, and a three-dimensional beam element with seven degrees of freedom (7-DOF) at each node was derived as an alternative method for analyzing girder bridges during deck construction. A computer program based on the 7-DOF beam element was also developed in MATLAB. To assess the 7-DOF beam element, one bridge was selected to measure the transverse rotation, vertical deflection, and stress of the exterior girder and the first interior girder during deck construction. Also, three full-scale numerical models using solid elements, classical three-dimensional beam elements, and 7-DOF beam elements were created based on the geometries and loads of the experimental bridge. A comparative study was conducted by comparing the results from the numerical models and experimental monitoring data to evaluate the 7-DOF beam element. The results showed that the 7-DOF beam element had excellent behavior in analyzing the girder bridges under construction load, especially in the torsional analysis of bridge girders. Also, unlike the solid element model, which also provided reasonable results, the 7-DOF beam element model can compute the internal forces of the cross-sections along the bridge, which allows the 7-DOF beam element to be an alternative approach for design and research requiring less modeling effort and computational complexity.

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Section: Introductionmentioning

confidence: 99%

Application and Experimental Validation of Seven-Degree-of-Freedom Beam Element for Girder Bridges during Deck Construction

Hui,

Ashiquzzaman,

Hindi

2023

Infrastructures

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“…Reduced state-space model based on detailed FEM model can be used to design of linear quadratic controller (LQR) [7]. This paper deals with the development of the FEM model of piezoelectric beam element, where the piezoelectric layers are located on the outer surfaces of the beam core, which is made of functionally graded material (FGM) [8,9]. Connection of FGM beam with piezoelectric layers can be considered as suitable smart material composition for mechatronic applications.…”

Section: Introductionmentioning

confidence: 99%

Piezoelectric Beam Finite Element Model and Its Reduction and Control

Kutiš

Paulech

Gálik

et al. 2021

Strojnícky Časopis - Journal of Mechanical Engineering

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The paper deals with the development of the finite element method (FEM) model of piezoelectric beam elements, where the piezoelectric layers are located on the outer surfaces of the beam core, which is made of functionally graded material. The created FEM model of piezoelectric beam structure is reduced using the modal truncation method, which is one of model order reduction (MOR) method. The results obtain from reduced state-space model are compared with results obtain from finite element model. MOR state-space model is also used in the design of the linear quadratic regulator (LQR). Created reduced state-space model with feedback with the LQR controller is analysed and compared with the results from FEM model.

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Extension of the FGM Beam Finite Element by Warping Torsion

Cited by 2 publications

References 15 publications

Application and Experimental Validation of Seven-Degree-of-Freedom Beam Element for Girder Bridges during Deck Construction

Application and Experimental Validation of Seven-Degree-of-Freedom Beam Element for Girder Bridges during Deck Construction

Piezoelectric Beam Finite Element Model and Its Reduction and Control

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