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This paper systematically studies wave attenuation and band structure in functionally graded corrugated phononic crystal beams. The unit cell of the corrugated beam consists of the functionally graded parts and the homogeneous part. Considering the Timoshenko beam theory, the periodic boundary...
In this paper, a modified time–frequency transform method is proposed by introducing a modified factor based on elastic wave theory and classical Fourier transform. The feasibility of the proposed method is verified by taking the front semi-cylindrical canyon and hill topography subject to...
We achieve neutrality of a four-phase spherical inhomogeneity embedded in an infinite elastic matrix subjected to an arbitrary uniform remote load. In the four-phase composite, the internal spherical elastic inhomogeneity is bonded to the surrounding matrix through two concentric spherical...
This paper proposes a describing function method with pointwise balancing in time domain (DFPB), to solve periodic responses semi-analytically of self-excited systems with non-smooth and/or complicated nonlinearities. This method is to select a set of basis functions to describe the periodic...
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