Finite-element method for a uniformly loaded cantilever beam with general cross section

The design of the Gravity retaining wall (GRW) is a trial and error process. Prevailing conditions of backfill are used to determine the profile of GRW, which proceeds with the selection of provisional dimensions. The optimum section is having factors of safety of stability higher than the allowable values and stresses in the cross-section smaller than permissible. The cross-section is designed to fulfill conditions of stability, subjected to very low stresses. The strength of the material, which is provided in the cross-section remains unutilized. A computer program is developed to find stresses at various locations on the cross-section of GRW using the Finite Element Method (FEM). A discontinuity in the form of a rectangular cavity is introduced in the cross-section of GRW to optimize it. The rectangular cavity is introduced in the cross-section of GRW at different locations. An attempt is made in this paper to find the stress distribution in the gravity retaining wall cross-section and to study the effect of the rectangular cavity on the stress distribution. Two cases representing different locations are considered to study the effect of the cavity. The location of the cavity is distinguished by the parameter w, the effects of cases with varied was 0.2305 (Case-I) and 0.1385 (Case-II) are observed. The cavity, which is provided not only makes the wall structurally efficient but also economically feasible.

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Structural Strength Analysis and Measurement of Composite Laminate Using Finite Element Method and FBG Sensor

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.851.720 ◽

2016 ◽

Vol 851 ◽

pp. 720-727

Author(s):

Yu Chuan Lin ◽

Wen Jeng Hsueh

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Cantilever Beam ◽

Composite Laminate ◽

Structural Strength ◽

Measuring System ◽

Bending Test ◽

Strength Analysis ◽

Fbg Sensor ◽

Element Method

The aim of this study is to develop structural strength analysis technique and real-time measuring system of composite laminate using finite element method (FEM) and fiber bragg grating (FBG) sensor. A composite laminate of cantilever beam was designed and fabricated using glass fiber reinforced plastic (GFRP) for structural mechanics behavior research. Six design cases of different orientations composite laminate were considered for the better combinations by using FEM program. The bending test of a composite laminate of cantilever beam was performed by using FBG sensor to obtained relationship between strain and displacement. The study result shows that the higher stiffness of composite laminate of cantilever beam was obtained in the [0/90/0/90] orientation. The first natural frequency is 34.83 Hz and corresponding mode shape is bending mode in Z-direction. The FEM and FBG sensor have been successfully used in variety of composite laminate design with different layering sequences by this article.

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Vibration based T-shaped piezoelectric cantilever beam design using finite element method for energy harvesting devices

2016 IEEE International Conference on Semiconductor Electronics (ICSE) ◽

10.1109/smelec.2016.7573610 ◽

2016 ◽

Cited By ~ 1

Author(s):

Md. Naim Uddin ◽

Md. Shabiul Islam ◽

Jahariah Sampe ◽

Shafii A. Wahab ◽

Sawal H. Md Ali

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Energy Harvesting ◽

Cantilever Beam ◽

Beam Design ◽

Piezoelectric Cantilever ◽

Energy Harvesting Devices ◽

Element Method

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Analysis of shielded microstrip lines with arbitrary metallization cross section using a vector finite element method

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/22.330127 ◽

1994 ◽

Vol 42 (11) ◽

pp. 2112-2117 ◽

Cited By ~ 16

Author(s):

M.S. Alam ◽

K. Hirayama ◽

Y. Hayashi ◽

M. Koshiba

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Cross Section ◽

Microstrip Lines ◽

Vector Finite Element Method ◽

Vector Finite Element ◽

Element Method

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Natural frequencies of a rotating curved cantilever beam: A perturbation method-based approach

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406219899117 ◽

2020 ◽

Vol 234 (9) ◽

pp. 1706-1719

Author(s):

Ajinkya Baxy ◽

Abhijit Sarkar

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Perturbation Method ◽

Cantilever Beam ◽

Natural Frequencies ◽

Analytical Formula ◽

Industrial Applications ◽

Curved Beam ◽

Straight Beam ◽

Element Method

The blades of propellers, fans, compressor and turbines can be modeled as curved beams. In general, for industrial application, finite element method is employed to determine the modal characteristics of these structures. In the present work, a novel formula for determining the natural frequencies of a rotating circularly curved cantilever beam is derived. Rayleigh–Ritz approach is used along with perturbation method to obtain the analytical formula. In the first part of the work, a formula for natural frequencies of a non-rotating curved beam vibrating in its plane of curvature is presented. This formula is derived as a correction to the natural frequencies of its straight counterpart. The curvature is treated as a perturbation parameter. In the next part of the work, the effect of rotation on the curved beam is captured as an additional perturbation. Thus, the formula for a curved rotating beam is derived as a correction (involving two perturbation parameters) to the non-rotating straight beam. The results obtained using the derived formula are compared with the finite element method results. It is found that the frequency estimates from the formula are valid over a fairly large range of curvature and rotation speed. Thus, the derived formula can provide a faster alternative for design iterations in industrial applications.

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