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**Nonlinear dynamic response of laminated composite plates subjected to pulse loading.**
*(English)*
Zbl 1392.74046

Summary: An analytical solution methodology for the nonlinear dynamic displacement response of laminated composite plates subjected to different types of pulse loading is presented. The mathematical formulation is based on third-order shear deformation plate theory and von-Karman nonlinear kinematics. Fast-converging finite double Chebyshev series is employed for evaluating the displacement response. Houbolt time marching scheme is used for temporal discretization and quadratic extrapolation technique is used for linearization. The effects of magnitude and duration of the pulse load, boundary conditions and plate parameters on the central displacement and bending moment responses are studied.

### MSC:

74H10 | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics |

74K20 | Plates |

74E30 | Composite and mixture properties |

### Keywords:

analytical solution; third-order shear deformation theory; von-Karman nonlinear kinematics; Chebyshev series; Houbolt time marching scheme
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\textit{A. K. Upadhyay} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4530--4544 (2011; Zbl 1392.74046)

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### References:

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