Proof mass effect on piezoelectric cantilever beam for vibrational energy harvesting using Finite Element Method

Author(s):  
Md. Naim Uddin ◽  
Md. Shabiul Islam ◽  
Jahariah Sampe ◽  
Shafii A. Wahab ◽  
Sawal H. Md Ali
2016 ◽  
Vol 851 ◽  
pp. 720-727
Author(s):  
Yu Chuan Lin ◽  
Wen Jeng Hsueh

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.


Author(s):  
Ajinkya Baxy ◽  
Abhijit Sarkar

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.


2020 ◽  
Vol 21 ◽  
pp. 690-693
Author(s):  
S. Arun Kumar ◽  
V. Velmurugan ◽  
V. Paramasivam ◽  
S. Thanikaikarasan

2020 ◽  
Vol 39 (2) ◽  
pp. 351-362
Author(s):  
M.M. Ufe ◽  
S.N. Apebo ◽  
A.Y. Iorliam

This study derived analytical solutions for the deflection of a rectangular cross sectional uniformly tapered cantilever beam with varying configurations of width and breadth acting under an end point load. The deflection equations were derived using a numerical analysis method known as the finite element method. The verification of these analytical solutions was done by deterministic optimisation of the equations using the ModelCenter reliability analysis software and the Abaqus finite element modelling and optimisation software. The results obtained show that the best element type for the finite element analysis of a tapered cantilever beam acting under an end point load is the C3D20RH (A 20-node quadratic brick, hybrid element with linear pressure and reduced integration) beam element; it predicted an end displacement of 0.05035 m for the tapered width, constant height cantilever beam which was the closest value to the analytical optimum of 0.05352 m. The little difference in the deflection value accounted for the numerical error which is inevitably present in the analyses of structural systems. It is recommended that detailed and accurate numerical analysis be adopted in the design of complex structural systems in order to ascertain the degree of uncertainty in design. Keywords: Deflection, Finite element method, deterministic optimisation, numerical error, cantilever beam.


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