4.7 Article

Nonlinear forced vibrations of FGM sandwich cylindrical shells with porosities on an elastic substrate

期刊

NONLINEAR DYNAMICS
卷 104, 期 2, 页码 1007-1021

出版社

SPRINGER
DOI: 10.1007/s11071-021-06358-7

关键词

Nonlinear forced vibrations; Nonlinear internal resonance; FGM sandwich cylindrical shells; Porosity; Galerkin scheme; Pseudo-arclength continuation method

资金

  1. National Natural Science Foundation of China [11972204]

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The study investigates the nonlinear forced vibrations of functionally graded material (FGM) sandwich cylindrical shells with porosities on an elastic substrate. Energy approach combined with Galerkin scheme and pseudo-arclength continuation method is used to analyze the effects of core-to-thickness ratio, porosity volume fraction, power-law exponent, and external excitation on the nonlinear forced vibration characteristics of FGM sandwich shells with porosities.
The nonlinear forced vibrations of functionally graded material (FGM) sandwich cylindrical shells with porosities on an elastic substrate are studied. A step function and a porosity volume fraction are introduced to describe the porosities in FGM layers of sandwich shells. Using the Donnell's nonlinear shallow shell theory and Hamilton's principle, an energy approach is employed to gain the nonlinear equations of motion. Afterwards, the multi-degree-of-freedom nonlinear ordinary differential equations are carried out by using Galerkin scheme, and subsequently the pseudo-arclength continuation method is utilized to perform the bifurcation analysis. Finally, the effects of the core-to-thickness ratio, porosity volume fraction, power-law exponent, and external excitation on nonlinear forced vibration characteristics of FGM sandwich shells with porosities are investigated in detail.

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