Free vibration analysis of symmetric laminated skew plates by discrete singular convolution technique based on first-order shear deformation theory.

*(English)*Zbl 1171.74464Summary: In this study, free vibration of laminated skew plates was investigated. Discrete singular convolution (DSC) method is used for numerical solution of vibration problems. The straight-sided quadrilateral domain is mapped into a square domain in the computational space using a four-node element by using the geometric transformation. Typical results are presented for different geometric parameters and boundary conditions. It is concluded from the results that the skew angle have considerable influence on the variations of the frequencies with fibre orientation angle and number of layers in the laminate. The results obtained by DSC method are compared with those obtained by analytical and numerical approaches. It is shown that reasonable accurate results are obtained. Present work also indicates that the method of DSC is a promising and potential approach for computational mechanics.

##### MSC:

74S30 | Other numerical methods in solid mechanics (MSC2010) |

74H45 | Vibrations in dynamical problems in solid mechanics |

74K20 | Plates |

74H15 | Numerical approximation of solutions of dynamical problems in solid mechanics |

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\textit{M. Gürses} et al., Int. J. Numer. Methods Eng. 79, No. 3, 290--313 (2009; Zbl 1171.74464)

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