Buckling Simulation of Simply Support FG Beam Based on Different beam Theories

Neamah, Raghad Azeez; Nassar, Ameen Ahmed; Al-Ansari, Luay S.

doi:10.33971/bjes.21.3.2

Cited by 5 publications

(2 citation statements)

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“…AlSaid-Alwan and Avcar (2020) employed Euler Bernoulli, Shear, Rayleigh, and Timoshenko beam theories to examine the free vibration of the FGB. Neamah et al (2021) developed a new model of the FGB based on Euler and different Timoshenko beam theories to study buckling behavior, Neamah et al (2022) presented analytical and numerical methods to simulate FGB. Avcar et al (2021) used HSDT to analyze the frequency of sigmoid FG sandwich beams.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analyzing the Free Vibration of Simply Supported Functionally Graded Beam

Neamah

Nassar

Al-Ansari

2022

J. Aerosp. Technol. Manag.

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Euler, Timoshenko and high shear deformation theories to analyze the free vibration of the functionally graded (FG) beam were developed. The mechanical properties of this beam were assumed to differ in thickness direction according to the model of a power-law distribution. The principle of Hamilton was used to find equations of motion. For free vibration, the analytical solution of these equations was presented using the Navier method. The effect of power index, aspect ratio, modulus ratio, and deformation theories on dimensionless frequency were studied numerically by Ansys software and analytically according to different beam theories using the Fortran program. The obtained results from these programs were compared with each other and with some previous research. Results showed an excellent agreement with the previous research. The numerical and analytical results showed that the use of this new FG beam model especially based on first and high shear deformation theories leads to the reduction of dimensionless frequency. It may be concluded that, the including of shear's effect leads to a decrease in the dimensionless frequency. From the modeling and analysis of this model, it is possible to know what is the appropriate design for this FG beam model to reduce the vibration.

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Section: Introductionmentioning

confidence: 99%

Modeling and Analyzing the Free Vibration of Simply Supported Functionally Graded Beam

Neamah

Nassar

Al-Ansari

2022

J. Aerosp. Technol. Manag.

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“…Fig.7, illustrates the geometry and mesh of three pre-twisted beams with twisting angles (90 o , 360 o and 450 o ) when the length of the beam is (350mm). The element SOLID186 with 20-Node is used in this model and convergent criteria are applied for selecting the suitable size of the element[31][32][33][34][35][36][37][38][39]. The number of elements and nodes are (450) and (2939) respectively when the length of the beam is 350 mm and the twisting angle is zero (i.e.…”

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confidence: 99%

Calculating the Natural Frequency of Pre-Twisted Beam

M. Shukur,

Neamah,

Abdulsamad

et al. 2024

J. eng. sustain. dev.

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Beams in two configurations; uniform and non-uniform, are common structural components utilized for several engineering applications. Thus, the studies dealing with their behavior under dynamic and vibrations have been increased. In this research, the transverse vibration phenomena of pre-twisted beams were experimentally and theoretically studied by investigating the effect of twisting angles on the first three transverse natural frequencies. In the present experimental part, the pre-twisted beams are manufactured using a 3D printer, and the fundamental frequencies of manufactured pre-twisted beams are measured by a suitable rig. In the theoretical work, the finite element method is used to simulate the transverse vibration behavior of the pre-twisted beams. The accuracy of the simulation process is checked by comparison of the first natural frequencies calculated by the finite element method (using ANSYS Workbench Software) with those measured experimentally. The results show that there is an excellent agreement between the experimental results and finite element outputs. For the clamped-free pre-twisted beam, there is no critical twisting angle. The critical twisting angle is equal to the mode number for simply – simply and clamped simple pre-twisted beam. While there is more than one value of critical twisting angle for the clamped-clamped pre-twisted beam.

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