随机功能梯度材料梁的动力特性分析

doi:10.3969/j.issn.1001-2400.2015.06.018

Abstract

Abstract:

The uncertainty in effective physical properties is inherent since the manufacturing and fabrication processes of FGM (Functionally Graded Materials) are extremely complex. Based on the high-order shear deformation theory, the finite element model is developed for the FGM beam with material properties varying in the axial direction, taking into account the shear deformation. Using the moment method of the random function, the statistics of dynamic characteristics for the FGM beam is calculated, and the effect of random constituent material properties on the dynamic characteristics for the FGM beam is systemically investigated in the case of different volume fraction indexes. The Monte-Carlo method is used to verify the presented method. Numerical results show the dominant effect of the constituent volume fraction index on the dispersion in dynamic characteristics, and the dispersion in modal frequencies becomes higher when more material properties are considered random, and the dispersion in mode shapes depends mainly on the randomness of constituent material mass densities, while the volume fraction index and random elastic modulus of constituent materials have little influence on mode shapes.

Key words: functionally graded material, beam, axial direction, randomness, dynamic characteristics

CLC Number:

TU311

CHEN Yongqin;XU Yalan. Dynamic characteristics analysis for the random FGM beam[J].J4, 2015, 42(6): 99-105.

References

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Dynamic characteristics analysis for the random FGM beam

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