NONLINEAR MODAL INTERACTION BETWEEN ASYMMETRIC MODES OF SANDWICH PLATES UNDER WIDE-BAND RANDOM EXCITATION

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MAHMOUDKHANI SAIED; HADDADPOUR HASSAN

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Journal: Modares Mechanical Engineering Year:2016 | Volume:16 | Issue:8 Page(s): 185-195

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Information Journal Paper

Title

NONLINEAR MODAL INTERACTION BETWEEN ASYMMETRIC MODES OF SANDWICH PLATES UNDER WIDE-BAND RANDOM EXCITATION

Author(s)

MAHMOUDKHANI SAIED | HADDADPOUR HASSAN | Issue Writer Certificate

Keywords

SANDWICH PLATEQ1

NONLINEAR INTERACTIONQ1

RANDOM VIBRATIONQ2

NONQ1

GAUSSIAN MOMENT CLOSUREQ1

MODERATE ROTATIONS AND STRAINSQ1

Abstract

The NONlinear vibration of sandwich viscoelastic plates under wide-band random excitation is investigated. The main attention is put on the influence of the one-to-one internal resonance, arisen from the close natural frequencies of the asymmetric modes of a near-square plate, on the response. The multi-modal response and the on-off intermittency phenomenon are especially considered. The mathematical modeling of the mid-layer is based on the moderate transverse shear strains and rotations, which have led to both geometrical and material NONlinearities. For the NONlinear constitutive equation of the mid laye a single integral viscoelastic model is used. The displacement field in the thickness direction is also assumed to be linear for the in-plane components and quadratic for the out-of-plane components. Moreover, the Kirchhoff theory with the von-Karman NONlinearities are used for the outer layers. The solution is initiated by applying the perturbation method along with the Galerkin’s method to obtain integro-differential ordinary equations in time. These equations are then, solved using the Gaussian and NON-Gaussian closure methods and the results are used to investigate the occurrence of the bifurcation with the aid of the Pseudo-arclength continuation method. Numerical results are presented for the multi-modal response and the minimum excitation intensity required for the NONLINEAR INTERACTION/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank"> NONLINEAR INTERACTION between asymmetric modes.

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APA: Copy

MAHMOUDKHANI, SAIED, & HADDADPOUR, HASSAN. (2016). NONLINEAR MODAL INTERACTION BETWEEN ASYMMETRIC MODES OF SANDWICH PLATES UNDER WIDE-BAND RANDOM EXCITATION. MODARES MECHANICAL ENGINEERING, 16(8), 185-195. SID. https://sid.ir/paper/179907/en

Vancouver: Copy

MAHMOUDKHANI SAIED, HADDADPOUR HASSAN. NONLINEAR MODAL INTERACTION BETWEEN ASYMMETRIC MODES OF SANDWICH PLATES UNDER WIDE-BAND RANDOM EXCITATION. MODARES MECHANICAL ENGINEERING[Internet]. 2016;16(8):185-195. Available from: https://sid.ir/paper/179907/en

IEEE: Copy

SAIED MAHMOUDKHANI, and HASSAN HADDADPOUR, “NONLINEAR MODAL INTERACTION BETWEEN ASYMMETRIC MODES OF SANDWICH PLATES UNDER WIDE-BAND RANDOM EXCITATION,” MODARES MECHANICAL ENGINEERING, vol. 16, no. 8, pp. 185–195, 2016, [Online]. Available: https://sid.ir/paper/179907/en

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