Method and device for controlling vibration response of shell structure, storage medium, computer equipment
A technology of structural vibration and control methods, applied in the field of mechanical dynamics, can solve problems such as high cost and low accuracy of analysis results
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[0042] 202. Using Chebyshev polynomials to calculate the axial, circumferential, and radial displacements of the laminated cylindrical shell per unit time, the torsion angles around the x-axis and theta-axis, and the in-plane potential of the piezoelectric layer. In order to illustrate the specific implementation of step 202, as a preferred embodiment, step 202 may specifically include:
[0043] 2021. Using Chebyshev polynomials to fit the axial displacement of the laminated cylindrical shell, and obtain the fitted axial displacement of the laminated cylindrical shell.
[0044] In the specific implementation, the expression of the axial displacement of the fitted laminated cylindrical shell is specifically:
[0045] T 0 (ξ)=1, T 1 (ξ)=ξ,T m+1 (ξ)=2ξT m (ξ)-T m-1 (ξ), (m≥2);
[0046] where ξ is the dimensionless axial coordinate of the x-axis of the laminated cylindrical shell. T(ξ) is the Chebyshev polynomial of the first kind, and its domain is [-1, 1]. If the range of...
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