Free Vibration Analysis of Laminated Composite Rectangular Plate Using Finite                 Element Method

Pandit, Mihir Kumar; Haldar, Salil; Mukhopadhyay, Madhujit

doi:10.1177/0731684407069955

Cited by 50 publications

(21 citation statements)

References 10 publications

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“…3) were investigated, the results of which are shown in Table 1. To compare the solutions the results of Pandit et al (2007) and Brethee (2009) Table 2 shows the variation of first ten non-dimensional frequencies with size ratio (d/b=0.2, 0.3, 0.4) of triangular cut-out for a cross-ply square laminate (0 /90 /0 ) of aspect ratio a/b=1 and a b d l thickness ratio h/b=0.01 for fully clamped boundary condition. The frequency for all mode decreases as the size ratio of cut-outs increases.…”

Section: Cross-ply Laminated Platementioning

confidence: 99%

“…Liew et al (2003) investigated the free vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature technique. Free vibration analysis of laminated composite rectangular plate was presented in the work of Pandit et al (2007) by applying FEM. Numerical instances of isotropic and composite rectangular composite plates having various fiber orientation angle, thickness ratio and aspect ratio were also solved.…”

Section: Introductionmentioning

confidence: 99%

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Study of free vibration analysis of laminated composite plates with triangular cutouts

Bhardwaj¹,

Vimal²,

Sharma³

2015

10.5267/j.esm

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Cutouts are commonly used as access port for mechanical and electrical structures. Most of the structures generally work under severe dynamic loading and different constrained conditions during their service life. This may lead to vibration of the structure. Therefore, it is necessary to predict the vibration responses of laminated composite plates with cutouts precisely with less computational cost and good accuracy of these complex structures. A suitable finite element model is proposed and developed based on first order shear deformation theory using ANSYS parametric design language (APDL) code. The model has been discretized using an appropriate eight nodded element (SHELL 281) from the ANSYS element library. The free vibrations are computed using Block-Lanczos algorithm. The convergence study has been done of the developed model and compared with those available published literature. Effects of different geometric parameters (aspect ratio, thickness ratio, boundary conditions, number of layers, angle of lamina geometry of cutout, cutout side to plate side ratio and distance between cutouts) and material properties on the free vibration responses are discussed in detail. The frequency increases with increase in the number of layers, modulus ratio of plate and angle of lamina. The frequency decreases with increase in aspect ratio, thickness ratio, size of cutout and distance between cutouts. The boundary conditions of the plate play an important role in the free vibrations of the plate with cutouts. The Non-dimensional frequencies are higher for fully clamped boundary condition in comparison to other boundary conditions.

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Section: Cross-ply Laminated Platementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study of free vibration analysis of laminated composite plates with triangular cutouts

Bhardwaj¹,

Vimal²,

Sharma³

2015

10.5267/j.esm

View full text Add to dashboard Cite

show abstract

“…The present study takes up this problem for studying the effect when slightly different constants are used in the vibration analysis of laminated CFRP plates. In doing so, numerical experiments are conducted to calculate natural frequencies of laminated CFRP rectangular plates by using various sets of constants [3,[12][13][14], and for effective insights, new standard constants are proposed to understand vibration behaviors in the comprehensive way. Figure 1 shows a laminated rectangular plate in the coordinate system and in each layer the major and minor principal axes are denoted by the L and T axes.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Using Different Elastic Moduli on Vibration of Laminated CFRP Rectangular Plates

Narita

Innami

Narita

2019

EPI-IJE

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This paper deals with effects of using different sets of material constants on the natural frequencies of laminated composite rectangular plates. The plate is symmetrically laminated by thin layers composed of recently developed carbon fiber reinforced plastic (CFRP) materials. Numerical experiments are conducted by using a semi-analytical solution based on the thin plate theory and the lamination theory. The displacements are assumed to accommodate any combination of classical boundary conditions. The material property is expressed by a set of four elastic constants, and some typical sets of values are cited from the recent literature. Furthermore, a new standard set of discretized constants is proposed to uncover the underlying characteristics of the existing constants. The convergence study is carried out first, and the lowest five natural frequencies are calculated for five sets of classical boundary conditions including totally free through totally clamped cases. Next, a new definition of frequency parameters is introduced to promote more physically meaningful comparison among the obtained results, and the effect of using slightly different constants is clarified for unified comparison and insights. It is also discussed to derive approximate frequency formulas by linear regression analysis and to test accuracy of the formulas.

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“…Bunch of experimental and numerical research works are available in the field of dynamic analysis of complex composite structures (Kim et al [11]), Pandit et al [12]). However, only limited amount of research works are available in the field of vibration analysis of sandwich plate with controllable fluids.…”

Section: Introductionmentioning

confidence: 99%

Semi-Active Vibration Control of Laminated Composite Sandwich Plate – An Experimental Study

Manoharan

Rajamohan

Sudhagar

2016

Archive of Mechanical Engineering

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In this study, the vibration analysis of fully and partially treated laminated composite Magnetorheological (MR) fluid sandwich plates has been investigated experimentally. The natural frequencies of fully and partially treated laminated composite MR fluid sandwich plates have been measured at various magnetic field intensities under two different boundary conditions. The variations of natural frequencies with applied magnetic field, boundary conditions and location of MR fluid pocket have been explored. Further, a comparison of natural frequencies of fully and partially treated MR fluid sandwich structure has been made at various magnetic field intensities.

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Free Vibration Analysis of Laminated Composite Rectangular Plate Using Finite Element Method

Cited by 50 publications

References 10 publications

Study of free vibration analysis of laminated composite plates with triangular cutouts

Study of free vibration analysis of laminated composite plates with triangular cutouts

The Effect of Using Different Elastic Moduli on Vibration of Laminated CFRP Rectangular Plates

Semi-Active Vibration Control of Laminated Composite Sandwich Plate – An Experimental Study

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