Free vibration of axially functionally graded beams using the asymptotic development method

Dongxing Cao; Yanhui Gao; Minghui Yao; Wei Zhang

doi:10.1016/j.engstruct.2018.06.111

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Free vibration of axially functionally graded beams using the asymptotic development method

Dongxing Cao Yanhui Gao Minghui Yao Wei Zhang

Year: 2018 Journal: Engineering Structures Vol: 173 Pages: 442-448 Publisher: Elsevier BV

DOI: 10.1016/j.engstruct.2018.06.111

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Keywords:

Axial symmetry Vibration Stiffness Boundary value problem Beam (structure) Mathematical analysis Finite element method Natural frequency Perturbation (astronomy) Structural engineering Mathematics Physics Engineering Acoustics

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Composite Structure Analysis and Optimization

Physical Sciences → Engineering → Mechanics of Materials

Vibration and Dynamic Analysis

Physical Sciences → Engineering → Control and Systems Engineering

Structural Analysis and Optimization

Physical Sciences → Engineering → Civil and Structural Engineering

Free vibration of axially functionally graded beams using the asymptotic development method

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