Optimal design of thin-walled open cross-section column for maximum buckling load

Alam, Intaf; Kanagarajan, Baburaj; Jana, Prasun

doi:10.1016/j.tws.2019.04.018

Cited by 15 publications

(3 citation statements)

References 19 publications

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“…As shown in Fig. 1 and Table 1, the open thin-walled frames, like the H-shaped, T-shaped, U-shaped, and I-shaped cross-sections, offer much lower torsional resistance while retain a certain level of bending resistance, compared to the closed thin-walled frame, like the hollow rectangular cross-section [30,31]. 2) Placing the area element as far from the centroidal axis as possible.…”

Section: Experimental Validation Of Afm Probe With U-shaped Cross-sec...mentioning

confidence: 99%

AFM probe with the U-shaped cross-sectional cantilever for measuring the ultra-low coefficient of friction of 10−6

Chen,

Jiang,

Qian

2024

Friction

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Accurately measuring the coefficient of friction (COF) is the fundamental prerequisite of superlubricity research. This study aimed to reduce the COF measurement resolution Δμ of atomic force microscopy (AFM). Based on the theoretical model, a distinctive strategy was adopted to reduce Δμ by optimizing the cantilever’s cross-section of the AFM probe, inspired by civil engineering. Δμ can be reduced by decreasing the width of the horizontal side wR and the wall thickness t and increasing the width of the vertical side wH. Moreover, the I-shape demonstrates the highest reduction in Δμ, followed by the U-shape. Considering the processability, the AFM probe with the U-shaped cross-sectional cantilever was investigated further, and the dimensions are 35 µm wR, 3.5 µm wH, 0.5 µm t, 50 µm l (cantilever length), and 23 µm htip (tip height). The finite element analysis results confirm its reliability. After being fabricated and calibrated, the AFM probe achieves the minimal Δμ of 1.9×10−6 under the maximum normal force so far. Additionally, the friction detection capability of the fabricated AFM probe improves by 78 times compared to the commercial tipless-force modulation mode (TL-FM) AFM probe with the conventional solid rectangular cross-sectional cantilever. This study provides a powerful tool for measuring 10−6 COF.

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Section: Experimental Validation Of Afm Probe With U-shaped Cross-sec...mentioning

confidence: 99%

AFM probe with the U-shaped cross-sectional cantilever for measuring the ultra-low coefficient of friction of 10−6

Chen,

Jiang,

Qian

2024

Friction

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show abstract

“…In the literature [ 18 ], optimization methods were also presented for columns having thin-walled, open cross-sections in order to obtain the maximum critical buckling by considering the constraint that the volume of the column remained constant.…”

Section: Introductionmentioning

confidence: 99%

Design Solutions for Slender Bars with Variable Cross-Sections to Increase the Critical Buckling Force

Botiș

Cerbu

2022

Materials

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In large metal civil constructions (stadium roofs, bridges), slender bars can lose their stability under compression loading. There is a lack in the literature regarding design solutions and methods for increasing the critical buckling force of bars with variable cross-sections. The aim of this research is to present a numerical model with finite elements used for a comparative analysis of increasing the critical force of stability loss in cases of (i) bars with stepwise variation in the cross-sections and (ii) bars with continuous variation in the moment of inertia along the bar axis (parabolic, sinusoidal, triangular, and trapezoidal variation). Considering the large-scale applications in civil engineering, bars that were pin-connected at one end and simple-supported at the other end were analyzed. Firstly, the analytical model was described to compute the critical buckling force for bars with stepwise variation in the cross-sections. Then, a finite element model for a slender bar and the assumptions considered were presented. The results were computed using the MATLAB program based on the numerical model proposed and were validated with the analytical model for stepwise variable cross-sections of the bars. The numerical model was adapted for bars with continuous variation in the moment of inertia along the bar axis. It was shown that, by trapezoidal variation in the second moment of inertia along the axis of a bar, i.e., as buckling occurred in the elastic field, the critical buckling force could be increased by 3.556 times compared to a bar with a constant section. It was shown that there was certain bar with stepwise variation in the cross-section for which the critical buckling force was approximately equal to the one obtained for the bar with sinusoidal variation in the moment of inertia (increased by 3.427 times compared to a bar with a constant section).

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“…Thin-walled bars with an open cross-section are widely used in the design of structural components in various fields of engineering, including mechanical, civil, marine, and aerospace structures [1][2][3]. Compared with the components with a closed thin-walled cross-section, an open cross-section subjected to torque loads is generally prone to larger warping stress and a larger angle of twist [4].…”

Section: Introductionmentioning

confidence: 99%

Prediction of Mechanical Properties of Thin-Walled Bar with Open Cross-Section under Restrained Torsion

et al. 2022

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Thin-walled bars with an open cross-section are widely used in mechanical structures where weight and size control are particularly required. Thus, this paper attempts to propose a theoretical model for predicting the mechanical properties of a thin-walled bar with an open cross-section under restrained torsion. Firstly, a theoretical model with predictions of shear stress, buckling normal stress, and secondary shear stress of the thin-walled bar with open cross-section under the condition of restrained torsion was developed based on torsion theory. Then, physical test and finite element modeling data were employed to validate the theoretical predictions. The results indicate that the theoretical predictions show good agreements with data of finite element modeling and experiments. Therefore, the proposed theoretical model could be used for the prediction of the mechanical response of a thin-walled bar with an open annular section under restrained torsion.

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Optimal design of thin-walled open cross-section column for maximum buckling load

Cited by 15 publications

References 19 publications

AFM probe with the U-shaped cross-sectional cantilever for measuring the ultra-low coefficient of friction of 10−6

AFM probe with the U-shaped cross-sectional cantilever for measuring the ultra-low coefficient of friction of 10−6

Design Solutions for Slender Bars with Variable Cross-Sections to Increase the Critical Buckling Force

Prediction of Mechanical Properties of Thin-Walled Bar with Open Cross-Section under Restrained Torsion

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