Large-Amplitude Random Response of Angle-Ply Laminated Composite Plates

Mei, Chuh; Wentz, Kenneth R.

doi:10.2514/3.51206

Cited by 30 publications

(7 citation statements)

References 6 publications

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“…Even though there are a large number of studies on the deflections, frequencies, buckling, etc. for the laminated composite plates, a limited number of studies are available for those plates subjected to random loads (Witt and Sobczyk, 1980; Mei and Prasad, 1987, Mei and Wentz, 1982; Singh et al , 1989; Cederbaum et al , 1989, 1992; Kulkarni et al , 1975). Witt and Sobczyk (1980) studied the response of laminated plates in cylindrical bending to random loads by using FSDT.…”

Section: Introductionmentioning

confidence: 99%

Vibration of anti‐symmetric angle‐ply composite plates under random excitation

Doğan

2007

Aircraft Engineering and Aerospace Technology

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PurposeThe transverse shear deformation and rotary inertia effects need to be included for an accurate analysis in the response of the relatively thick plates. This paper seeks to use, one of the refined theories which takes into account those effects, The First Order Shear Deformation Theory, to obtain linear and non‐linear responses for anti‐symmetric angle‐ply composite plates under random excitation.Design/methodology/approachThe random excitation is assumed to be stationary, ergodic and Gaussian with zero‐mean. A Monte Carlo Simulation of stationary random process is used. A multi‐mode Galerkin approach and numerical integration procedure are employed to find linear and non‐linear response solutions. Laminated composite plate is taken to be simply‐supported along four edges.FindingsThe vibration of composite plates at elevated temperatures is also investigated. The linear and non‐linear deflections root‐mean‐square (RMS) are obtained for various input levels, the different lamination angles and the number of layers.Practical implicationsFurther, case studies might lead to a lighter design of thick panels used in high‐performance systems such as aerospace structures.Originality/valueThe paper provides information on the linear and more realistic non‐linear vibrations of thick composite plates in time domain so that it would be possible to obtain key statistical information directly from time‐response history.

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Section: Introductionmentioning

confidence: 99%

Vibration of anti‐symmetric angle‐ply composite plates under random excitation

Doğan

2007

Aircraft Engineering and Aerospace Technology

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“…In terms of the non-dimensional parameters de"ned in reference [3], the non-dimensional bending stresses * V@ and * W@ can be de"ned by…”

Section: Explicit Analytical Expression For the Second Fcrp Non-lineamentioning

confidence: 99%

“…The geometrical non-linearity due to the high displacement amplitudes occurring in severe environment or in the neighbourhood of resonances has to be properly taken into account in the design of the structural components considered. Non-linear analysis methods are therefore necessary to predict the non-linear structural behaviour at large vibration amplitudes, and establish the appropriate design criteria [3,4].…”

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confidence: 99%

Improvement of the Semi-Analytical Method, for Determining the Geometrically Non-Linear Response of Thin Straight Structures: Part Ii—first and Second Non-Linear Mode Shapes of Fully Clamped Rectangular Plates

Kadiri¹,

Benamar²

2002

Journal of Sound and Vibration

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“…(11) can be found in Ref. If the acoustic pressure excitation p(t) is stationary Gaussian, ergodic, and has a zero mean, then application of the Krylov-BogoliubovCaughey equivalent linearization technique [3,4,[7][8][9] yields an equivalent set --of linear equations as…”

Section: Ymentioning

confidence: 99%

“…Recently, analytical efforts [3,4) with a / single-mode approach, and a test program [5] have demonstrated that the prediction of panel random response is greatly improved by including the large-amplitude effect in the formulation. Test results [5] also show that there is more than one mode responding.…”

Section: Introductionmentioning

confidence: 99%