High-order free vibration analysis of elastic plates with multiple cutouts

Sun, Xu; Zhang, Pengchong; Qiao, Hong; Lin, Kun

doi:10.1007/s00419-020-01857-2

Cited by 20 publications

(6 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Table 2 shows the comparative analysis results considering nondimensional fundamental frequency, which is evaluated as 𝜆𝜆 +, = 512𝜆𝜆 -𝜌𝜌𝑑𝑑 . (1 − 𝜈𝜈 /" 𝜈𝜈 "/ )/𝐸𝐸 / 𝑡𝑡 0 , where λ is the natural frequency, d is the diameter, E1 is the modulus of elasticity of the composite material with respect to x-axis, and ν12 and ν21 are the Poisson's ratios (Sun et al, 2021). It is seen from Table 2 that the free vibration results of the considered method are in close agreement with those of Sun et al (2021).…”

Section: Numerical Resultsmentioning

confidence: 62%

“…Therefore, the edge lengths of the cut-outs are different, while their area is the same, which is 1963.5 mm 2 . A comparative analysis has been performed by comparing the results with that of Sun et al (2021) for validation. For this purpose, a fivelayered (0 0 /30 0 /45 0 /60 0 /90 0 ) composite circular plates, which have 1000 mm diameter and 10 mm thickness with square cut-outs of 100 x 100 mm, 200 x 200 mm, and 300 x 300 mm, have been considered.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…For this purpose, a fivelayered (0 0 /30 0 /45 0 /60 0 /90 0 ) composite circular plates, which have 1000 mm diameter and 10 mm thickness with square cut-outs of 100 x 100 mm, 200 x 200 mm, and 300 x 300 mm, have been considered. The material properties can be found in the corresponding study (Sun et al, 2021). Table 2 shows the comparative analysis results considering nondimensional fundamental frequency, which is evaluated as 𝜆𝜆 +, = 512𝜆𝜆 -𝜌𝜌𝑑𝑑 .…”

Section: Numerical Resultsmentioning

confidence: 99%

“…(1 − 𝜈𝜈 /" 𝜈𝜈 "/ )/𝐸𝐸 / 𝑡𝑡 0 , where λ is the natural frequency, d is the diameter, E1 is the modulus of elasticity of the composite material with respect to x-axis, and ν12 and ν21 are the Poisson's ratios (Sun et al, 2021). It is seen from Table 2 that the free vibration results of the considered method are in close agreement with those of Sun et al (2021). Tables 3 and 4 give the fundamental frequencies in accordance with cut-out shapes of thin crossply and angle-ply circular plates, respectively.…”

Section: Numerical Resultsmentioning

confidence: 99%

See 3 more Smart Citations

The Impact of the Cut-Out Shape on the Dynamic Behavior of Composite Thin Circular Plates

Daş

2022

JER is an international, peer-reviewed journal that publishes f

View full text Add to dashboard Cite

This study measures the impact of the cut-out shape on the fundamental frequency and the harmonic response of thin composite circular plates under fixed boundary conditions. For this purpose, the Finite Element Method has been employed using the SHELL181 element of ANSYS Workbench 18.2 software. Nine different circular plates having central equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon, and circular cut-outs have been designed to understand the changes in the vibrational behavior of a structure as the cut-out geometry approximates to circular. Additionally, a solid circular plate has been modelled for comparison purposes. To investigate the effect of the cut-out shape more deeply, all structures have been designed as cross-ply and angle-ply composites. The free vibration analysis has been performed to obtain the fundamental frequency of each structure. The harmonic response analysis problem has been solved by employing the Mode Superposition Method and considering a constant damping ratio. The results of the study have been interpreted by considering the displacement response, stress, and phase shifts at a certain frequency range. The results indicate that the shape of the cut-out considerably affects the fundamental frequency and harmonic response of the circular structure regardless of its fiber orientation.

show abstract

Section: Numerical Resultsmentioning

confidence: 62%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

See 2 more Smart Citations

The Impact of the Cut-Out Shape on the Dynamic Behavior of Composite Thin Circular Plates

Daş

2022

JER is an international, peer-reviewed journal that publishes f

View full text Add to dashboard Cite

show abstract

“…It is observed that by introducing cutout onto a structure can make it vibrate with other modes for same natural frequency. Sun et al [17] conducted higher order free vibration study of elastic plates having multiple cutouts and observed that increase of skew angle of rhombic plate decreases the vibration frequency. Very recently, Das [18] studied the impact of cut-outs on circular plates and observed that presence of cut outs shifts the location of highest stress from edge towards middle of structure.…”

Section: Introductionmentioning

confidence: 99%

Influence of cut-out shape on the dynamic behavior of carbon nanotubes reinforced functionally graded plates

Kumar

Sarangi

2022

Eng. Res. Express

View full text Add to dashboard Cite

This research investigates the effects of cut-out on the dynamic behaviour of functionally graded carbon nanotube reinforced composite (FGCNTRC) plates. Finite element method (FEM) is utilized and SHELL181 type element of the ANSYS Workbench 17.2 program is utilized. To understand the vibration characteristics of the FG plates, various shapes of cut-outs such as triangular, square, rectangular, hexagonal, circular etc. are considered. For comparison, solid FGCNTRC plate is modeled and natural frequencies of plates integrated with cut-outs of different shapes are determined using free vibration study. The mode superposition method is used to address the harmonic response analysis problem keeping the damping ratio constant. The stress, phase changes and displacement responses for definite frequency ranges have been used to interpret the findings. To learn more about the effects of cut-outs on the dynamic response, the plates are designed considering various grading patterns. The findings show that the shape of cut-outs significantly affects the harmonic responses as well as the fundamental frequency of the FG plates and are also depending on the grading patterns of these plates.

show abstract