Numerical analysis of large deflection of the cantilever beam subjected to a force pointing at a fixed point

Zeng, Wenhui; Yan, Junyan; Hong, Yilun; Cheng, Shing Shin

doi:10.1016/j.apm.2020.11.023

Cited by 9 publications

(7 citation statements)

References 35 publications

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“…In the first approximation of the Euler-Bernoulli beam theory [1,5,8,10,11,13,[15][16][17][18][19][20][21][22][23][24][25][26][27], the following simplifying assumptions are considered in calculating the displacement field:…”

Section: The First Methodsmentioning

confidence: 99%

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A Method for Comparison of Large Deflection in Beams

Taghipour

Darfarin

2022

International Journal of Applied Mechanics and Engineering

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The deflection analysis of beams has been recently an active area of research. The large deflection of beams refers to deflections occurring due to large displacements and small strains. This type of deflection has been one of the areas of interest in the development of beam deformation methods. The wide diversity of beam deformation methods highlights the importance of their comparison to further elucidate the properties and features of each method and determine their benefits and limitations. In this study, a new comparison model is introduced which involves three steps, instead of only comparing final results for verification in common studies. In the first step, a complete comparison is made based on the assumptions and approximations of each method of the kinematics of deformation, displacement, and strain fields. After selecting the most accurate method in the first step, the displacement functions are determined by polynomial approximation under different loading and support conditions based on the selected method. In the third step, the displacement functions are used to calculate the strains in each method. The conclusion is based on comparing the strains. This comparative model can be used as a benchmark to compare different theories of deformation analysis.

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Section: The First Methodsmentioning

confidence: 99%

“…Zeng et al [11] proposed a numerical approach for the cantilever beam under a force pointing at a fixed point with large deflections. They verified the analysis model with a commercial finite element analysis.…”

Section: Introductionmentioning

confidence: 99%

A Method for Comparison of Large Deflection in Beams

Taghipour

Darfarin

2022

International Journal of Applied Mechanics and Engineering

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“…While the large deflection analysis forecasts transverse and longitudinal deflections that are both realistic and nonlinear. In the linear elastic working range, however, both small and large deflection procedures provide the identical outcomes, therefore one can use the straightforward small deflection strategy for engineering design [18,19]. Moreover, the small deflection behavior analysis establishes the basic requirement for structural design and identifies the extent of the structure's applicability.…”

Section: Introductionmentioning

confidence: 99%

Flexural Creep Behavior in Utilization of Woven Glass-Fibre as Reinforcement in Pultruded Glass Fibre-Reinforced Polymer Composite Cross-Arms: Experimental and Numerical Analysis

Amir,

Yamunan,

Ishak

et al. 2024

E3S Web Conf.

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Pultruded glass fiber-reinforced polymer (PGFRP) composite is a relatively new material used to replace conventional wood in the fabrication of cross-arms for transmission towers. Much research has been undertaken on coupon-scale PGFRP composite cross-arms. However, a few have been completed on full-scale PGFRP composite cross-arms under actual operating load. Thus, this work investigates the effect of wrapping woven glass fiber fabric as an additional reinforcement on the creep reactions of PGFRP composite cross-arms installed in a 132 kV transmission tower. In the first stage of this research, the deflection of the original cross-arm under various loads ranging from 0 to 9 kN was evaluated and was followed by the actual working loads. This experiment was repeated on cross-arms wrapped with different numbers of glass fiber fabric layers around the weakest point of the beam. Then, the creep behaviors and responses of the woven glass fiber-reinforced cross-arms were evaluated and compared with the original cross-arms from the previous study. The actual operating load was applied to the PGFRP composite cross-arms for 1000 hours to study their capability to support the weight of electrical cables and insulators. In order to replicate the tropical climate, the cross-arm were mounted on a test rig in an open area. The findings of this study revealed that reinforcing the cross-arm by wrapping it with woven glass fiber fabric could extend its life and hence reduce the maintenance cost and effort for long-term usage. The finding of this study will also become essential knowledge on woven fabric wrapping applications on square profiles.

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“…Lee et al [25] created a manipulator wrist from composite materials instead of AA to enhance its efficiency. In addition, several researchers have used CFRP to improve parameters such as deflection [26], load-carrying capacity, and natural frequencies [27,28] in robot structures.…”

Section: Introductionmentioning

confidence: 99%

Static and Vibration Analyses of a Composite CFRP Robot Manipulator

2022

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This paper reports analyses of a 5-degrees-of-freedom (5-DOF) carbon fiber-reinforced polymer (CFRP) robot manipulator, which has been developed for farm applications. The manipulator was made of aluminum alloy (AA) and steel materials. However, to check the effectiveness of CFRP materials on the static and free-vibration performance of the manipulator, the AA parts were replaced with CFRP. For this purpose, the effects of various cross-sections and layups on three design criteria—deflection, load-carrying capacity, and natural frequency—were investigated. Two types of thin-walled laminated sections, specifically the I section and rectangular tubular sections, were used for the composite parts. These parts were made from three hollow square section (“SSS” section) beams and three I section (“III” section) beams. These multi-cell beams were modeled using the finite element (FE) method. Three configurations were selected for analysis based on the manipulator’s most common operating conditions. The results indicated that the use of CFRP increased the manipulator’s natural frequencies, increased the load-carrying capacity, and decreased the manipulator’s tip deflection when compared with its AA counterpart. An analysis showed that using CFRP in the manipulator’s structure could improve static and vibrational performances. It was observed that the “SSS” section beams were 1.17 times stiffer, could carry a 1.20 times higher load, and were 1.40 times heavier than the “III” section beams. Also, decreasing the fiber direction in angle-ply layups from 90° to 0° and adding 0° plies, while keeping the total number of layers constant, decreased the manipulator’s tip deflection and increased its natural frequencies.

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Numerical analysis of large deflection of the cantilever beam subjected to a force pointing at a fixed point

Cited by 9 publications

References 35 publications

A Method for Comparison of Large Deflection in Beams

A Method for Comparison of Large Deflection in Beams

Flexural Creep Behavior in Utilization of Woven Glass-Fibre as Reinforcement in Pultruded Glass Fibre-Reinforced Polymer Composite Cross-Arms: Experimental and Numerical Analysis

Static and Vibration Analyses of a Composite CFRP Robot Manipulator

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