Free vibration response of internally-thickness-tapered laminated composite square plates based on an energy method

Arab, Babak; Ganesan, Rajamohan

doi:10.1016/j.compstruct.2020.113238

Cited by 10 publications

(6 citation statements)

References 12 publications

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“…Where a is the dimension of the laminated plate, h is the thickness of the plate, and E 1 is the elasticity SHELL181 (Ref. [37] )…”

Section: Composite Laminated Plate With Constant Thicknessmentioning

confidence: 99%

“…36 Arab and Ganesan proposed an energy-based method to extract a closed-form approximation for vibration analysis of internally tapered laminated square plates. 37 Hosseini et al used the spline finite strip method (SFSM) to investigate the effect of low-velocity impact on tapered composite plates. 38 The finite element method has been adopted by different researchers to study the mechanical behavior of tapered laminates.…”

Section: Introductionmentioning

confidence: 99%

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A novel finite element for the vibration analysis of tapered laminated plates

Hosseinian,

Attarnejad

2024

Polymer Composites

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In the present study, a new tapered finite element is developed by incorporating the in‐plane effect in our recently introduced element for the vibration analysis of internally tapered laminated plates. Stress and strain fields for a laminated plate with varying thickness along two orthogonal directions are expressed through extending classical laminated plate theory. Shape functions regarding bending and membrane behavior are extracted from the bending and axial basic displacement functions of the Euler‐Bernoulli beam, respectively. Several laminated plates with different taper configurations have been studied, and the results obtained from vibration analysis are compared with those of the literature. Since the element can capture the exact form of variation in thickness, the solution has shown to be competitively accurate with considerably fewer total degrees of freedom and elements in comparison with conventional finite elements.Highlight A new finite element for thin, tapered, laminated plates is introduced. Laminates' stiffness matrix is obtained for arbitrary thickness variation. A novel method is adopted to derive in‐plane shape functions. C1 continuity is guaranteed along the edges of elements. Calculation cost is considerably reduced.

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“…Where a is the dimension of the laminated plate, h is the thickness of the plate, and E 1 is the elasticity SHELL181 (Ref. [37] )…”

Section: Composite Laminated Plate With Constant Thicknessmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A novel finite element for the vibration analysis of tapered laminated plates

Hosseinian,

Attarnejad

2024

Polymer Composites

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“…Zhu et al 32 examined the static and vibration of the carbon nanotube‐reinforced composite (CNTRC) plate utilizing FSDT based on the FE method. FSDT was employed by Arab and Ganesan 33 to examine the effects of taper configuration, plate side length and taper angle on the natural frequencies of tapered laminated composite plates. The rotating tapered functionally graded (FG) blades' vibration behavior was described by Oh and Yoo 34 using the Rayleigh‐Ritz method.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of vibrational characteristics of rotating CFRP composite tapered plates reinforced by graphene nanoparticles

George,

Prasad,

Selvaraj

et al. 2023

Polymer Composites

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In the present study, the dynamic behavior of rotating carbon fiber reinforced polymer (CFRP) composite tapered plates reinforced with graphene nanoparticles has been investigated using a finite element (FE) formulation. The mechanical properties of CFRP laminates containing 0–0.5 wt% graphene nanoparticles were assessed using ASTM standard tests. The experimental dynamic analysis was conducted on CFRP and graphene reinforced CFRP composites under cantilever end conditions. The first‐order shear deformation theory (FSDT)‐based FE model was developed using MATLAB software to obtain the natural frequencies of the graphene reinforced CFRP plates. The validity of the FE results is compared with literature, and it shows excellent agreement for composite structures. Furthermore, parametric analysis is performed to explore the influence of wt% of graphene, rotating speed, setting angle, and ply thickness on the dynamic responses of graphene reinforced CFRP tapered plates.Highlights Effects of graphene reinforcement in CFRP composites are investigated. The mechanical characteristics were evaluated using ASTM standards. FSDT is employed to model the rotating tapered graphene‐CFRP plates. Vibration behavior of graphene‐CFRP composites is studied experimentally. Effects of various factors on the vibrations of the CFRP plates are studied.

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“…However, little is known about tapered beams and plates. 16 Through-thickness tapered composite laminate has been widely employed in helicopter yoke, blades, helicopter flex-beams, 17 and robotic arms. 18 The tapered structure can significantly reduce weight while sacrificing little stiffness and strength.…”

Section: Introductionmentioning

confidence: 99%

“…20 The findings suggest that it is challenging to prevent the damage of delamination in service. Arab and Ganesan 16 inspected the free vibration analysis of a tapered square plate with a linearly variable thickness symmetric plate under various boundary conditions. The ''layer reduction test'' findings support the expected shift in the fundamental natural frequencies for varied taper angles in a fixed-length plate.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis and prediction modeling of delaminated tapered FRP composite plates

Moorthy

Marappan

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Delamination (the separation between plies) is a common failure in Fiber Reinforced Polymer (FRP) laminated composites. The presence of delamination reduces the structural stiffness and changes in dynamic responses. The change in dynamic parameters can be successfully used for assessing structural health monitoring (SHM) for composite structures. SHM requires large amount of numerical/experimental data. This study focuses on the influence of the delamination parameters (size and in-plane location) on vibration behavior of a laminated tapered fiber reinforced polymer (FRP) composite plate with ply drop-off. Furthermore, developing a surrogate model as a fast-executing model to predict the shift in the natural frequency to reduce the computational effort for solving forward problems. The layerwise theory (LWT) has been used, and the delamination is modeled by “constrained mode” were solved using the finite element method (FEM). The numerical model was validated with an experimental modal analysis of tapered plates without delamination to make the model more robust. The effect of delamination was studied using surface plots produced using response surface methodology (RSM). The results show that the delamination size and location significantly affect the natural frequency shift. The RSM and ANN models were considered as surrogate models, and it was evaluated using an experimental modal analysis. The results shows that the single-output ANN model can predict the shift in the natural frequency with a minimum Root Mean Square Error (RMSE).

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Free vibration response of internally-thickness-tapered laminated composite square plates based on an energy method

Cited by 10 publications

References 12 publications

A novel finite element for the vibration analysis of tapered laminated plates

A novel finite element for the vibration analysis of tapered laminated plates

Enhancement of vibrational characteristics of rotating CFRP composite tapered plates reinforced by graphene nanoparticles

Free vibration analysis and prediction modeling of delaminated tapered FRP composite plates

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