Free vibration analysis of functionally graded beam based on different beam theories

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

doi:10.1063/5.0156796

AIP Conference Proceedings

2023

DOI: 10.1063/5.0156796

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Free vibration analysis of functionally graded beam based on different beam theories

Raghad Azeez Neamah¹,

Ameen Ahmed Nassar²,

Luay S. Al-Ansari³

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2024

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Cited by 2 publications

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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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Calculating the Natural Frequency of Pre-Twisted Beam

M. Shukur,

Neamah,

Abdulsamad

et al. 2024

J. eng. sustain. dev.

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Static deflection of pre-twisted beam subjected to transverse load

Al-Raheem,

Zainy,

Almawash

et al. 2024

Results in Engineering

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Free vibration analysis of functionally graded beam based on different beam theories

Cited by 2 publications

References 40 publications

Calculating the Natural Frequency of Pre-Twisted Beam

Calculating the Natural Frequency of Pre-Twisted Beam

Static deflection of pre-twisted beam subjected to transverse load

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