Ấn phẩm:
Vibrations of cracked functionally graded beams: General solution and application – A review
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This paper presents a unifid approach to vibration analysis of functionally graded beams with transverse open-edge cracks based on the so-called vibration shape obtained as a general solution of vibration equations in the frequency domain. The crack is modeled by a pair of translational and rotational springs of stiffness computed from the crack depth in dependence upon functionally graded material parameters. The frequencydependent vibration shape functions allow one not only to obtain the closed-form solution of both free and forced vibrations for multiple cracked FGM beams but also to develop the well-known methods such as Transfer Matrix Method or Dynamic Stiffness Method for analysis of FGM framed structures. The proposed theoretical developments have been illustrated by their application for modal analysis and frequency response analysis of multispan and multistep beams.
Mô tả
Vietnam Journal of Mechanics, Vol. 44, No. 4
Tác giả
Nguyen, Tien Khiem
Người hướng dẫn
Nơi xuất bản
Nhà xuất bản
Viện Cơ học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam
Năm xuất bản
2022-12
ISSN tạp chí
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Từ khóa chủ đề
Functionally graded materials , Vibration shape functions , Modal analysis , Frequency response , Multiple cracked beams