Bending analysis of elastically connected Euler–Bernoulli double-beam system using the direct boundary element method

Brito, Wyllian; Maia, Carlos Dias; Mendonça, A.V.

doi:10.1016/j.apm.2019.04.049

Cited by 23 publications

(4 citation statements)

References 31 publications

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“…To this aim, this section gives a detailed description of the analysis of racquet [26]. The analysis was carried out by applying Euler-Bernoulli's theory, thus deriving the necessary formulations as the dimensions of the racquet meet the criterion of thin column theory [27,28]. In the analytical case, a model was characterized by a partial differential equation with respect to position and time coordinates.…”

Section: Analysis Of Natural Frequencymentioning

confidence: 99%

Experimental and Computer Simulation Studies on Badminton Racquet Strings

Suwannachote,

Imjai,

Wattanapanich

et al. 2023

Sensors

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This study investigates experimentally, numerically, and analytically the performance of different string materials (Kevlar, synthetic gut, natural gut, and polyester) on badminton racquets. Vibration and impact tests with a shuttlecock were performed using a racquet frame made of carbon graphite mixed with epoxy resin. Different string tensions were considered in the tests (20, 22, 24, 28, 30, and 34 lb), as well as different hitting locations on the racquet frame. The results show that, as the diameter of the strings increased, the elasticity of the string decreased from 0.529 to 0.447 for diameters ranging from 0.62 to 0.70 mm. Subsequently, a badminton racquet and shuttlecock were modeled using SolidWorks2018® software (version 26), and a maximum displacement was applied to the ball to simulate an impact on the string bed. The natural frequency, maximum deformation and maximum stress were calculated analytically, and a finite element analysis was also performed using ANSYS2022 R2® software (version 22.2). The analytical and numerical results from ANSYS® showed good agreement (within 5% accuracy). The results of the study show that the natural frequency of a racquet with Kevlar strings was significantly higher than that of racquets with synthetic gut, natural gut, or polyester string materials. Specifically, the natural frequency of a racquet made of carbon graphite and epoxy resin was 23.0%, 30.7%, and 36.2% higher than that of racquets with synthetic gut, natural gut, and polyester string material, respectively. On the basis of this finding, Kevlar was chosen as the preferred material for badminton racquets strings, and a parametric analysis was then conducted. The study showed that slightly lowering the tension of the off-centered strings had a minimal effect on the von Mises stress distribution of the ball and string bed. In addition to investigating string materials, this study also examined the effects of pull and diameter variations of racquet strings on vibrations during impact. This study contributes to the understanding of the role of racquet and strings in badminton, and it also provides new insights into the factors that can affect performance in the sport. By analyzing the performance of different string materials and examining the effects of pull and diameter variations of racquet strings, this study provides valuable information for players and manufacturers looking to optimize their equipment for maximum performance.

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Section: Analysis Of Natural Frequencymentioning

confidence: 99%

Experimental and Computer Simulation Studies on Badminton Racquet Strings

Suwannachote,

Imjai,

Wattanapanich

et al. 2023

Sensors

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“…Although the static and vibration analysis of beams resting on elastic foundations is a widely studied topic, little work can be found in the literature on the static analysis of elastically connected systems. In this sense, by applying theoretical and numerical methods, some significant results have been obtained in the study of beams and nanotubes [18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Cracked Double-Beam Systems

De Rosa,

Lippiello

2023

Applied Mechanics

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Based on elasticity theory, this paper discusses the static analysis of a cracked double-beam system in the presence of a Winkler-type medium. It is further assumed that the double-beam system is constrained at both ends by elastically flexible springs with transverse and rotational stiffness. Using a variational formulation, the governing static equations are derived and solved using analytical and numerical approaches. In the first approach, closed-form solutions for the displacement functions are obtained based on the Euler–Bernoulli beam theory. In the second approach, the Cell Discretisation Method (CDM) is performed, whereby the two beams are reduced to a set of rigid bars connected by elastic constraints, in which the flexural stiffness of the bars is concentrated. The resulting stiffness matrix is easily deduced, and the governing equations of the static problem can be immediately solved. A comparative analysis is performed to verify the accuracy and validity of the proposed method. The study focuses on the effect of various parameters, including crack depth and position, boundary conditions, elastic medium and slenderness. The validity of the proposed analysis is confirmed by comparing the current results with those obtained from other approaches. In particular, the results obtained by closed-form solution and CDM are compared with the Finite Element Method (FEM). The accuracy of the results was assessed by making comparisons with results found in the literature and reported in the bibliography. It was shown that the proposed algorithm provides a simple and powerful tool for dealing with the static analysis of a double-beam system. Finally, some concluding remarks are made.

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“…Recently, research on the vibration characteristics of multi-beam systems and multi-plate systems has been of great interest [ 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 ]. Many experts have conducted a large number of studies on the vibration characteristics of multi-beam systems [ 13 , 14 , 15 , 16 , 17 , 18 ]. Kim et al [ 19 , 20 ] established a double-beam system and analyzed the free vibration characteristics of a system.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of a Graphene-Platelet-Reinforced, Porous, Two-Cylindrical-Panel System

Sun

Chi

Luo³

2022

Materials

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In this study, a novel, dynamic model of a graphene-platelet-reinforced, porous (GPLRP) double-cylindrical-panel system is proposed. The material properties of a graphene-platelet-reinforced, porous, double-cylindrical-panel system were determined by the Halpin–Tsai micromechanics model and the typical mechanical properties of open-cell metal foams. Different types of porosity distribution and graphene platelet (GPL) distribution patterns were considered. Love’s shell theory was utilized to derive the theoretical formulation, and the Rayleigh–Ritz method was used to calculate the natural frequencies of the system. The proposed model was validated by several comparison studies with the natural frequencies in the existing literature. Finally, the effects of stiffness of Winkler springs, boundary condition, porosity coefficient, porosity distribution, GPL distribution pattern, and GPL weight fraction on the free vibration characteristics of the system were evaluated.

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Bending analysis of elastically connected Euler–Bernoulli double-beam system using the direct boundary element method

Cited by 23 publications

References 31 publications

Experimental and Computer Simulation Studies on Badminton Racquet Strings

Experimental and Computer Simulation Studies on Badminton Racquet Strings

Numerical Analysis of Cracked Double-Beam Systems

Free Vibration Analysis of a Graphene-Platelet-Reinforced, Porous, Two-Cylindrical-Panel System

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