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

Active Publication Date: 2021-11-09
NORTHEASTERN UNIV LIAONING
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Problems solved by technology

[0004] In view of this, the present application provides a control method and device, a storage medium, and a computer device for the vibration response of a shell structure. Analysis of vibration control, the cost is high, and analysis of the vibration control of laminated cylindrical shells based on the existing classical boundary conditions, the technical problems of low accuracy of the analysis results

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  • Method and device for controlling vibration response of shell structure, storage medium, computer equipment
  • Method and device for controlling vibration response of shell structure, storage medium, computer equipment
  • Method and device for controlling vibration response of shell structure, storage medium, computer equipment

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specific Embodiment approach

[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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Abstract

The application discloses a control method and device, a storage medium, and computer equipment for the vibration response of shell structures, which relate to the technical field of mechanical dynamics and can realize the control of the vibration response of shell structures such as laminated cylindrical shells. The method includes: establishing a laminated cylindrical shell with a point-constrained elastic boundary; calculating the first energy equation of the laminated cylindrical shell under the point-constrained elastic boundary according to the force and moment of the laminated cylindrical shell, and a boundary spring The generated second energy equation; according to the first energy equation and the second energy equation, calculate the displacement and velocity of the laminated cylindrical shell; according to the calculated displacement and velocity of the laminated cylindrical shell, control the The vibration response of the laminated cylindrical shell described above. This application is applicable to a variety of complex boundaries, and is closer to the application of actual engineering.

Description

technical field [0001] The present application relates to the technical field of mechanical dynamics, in particular to a control method and device, a storage medium, and computer equipment for the vibration response of shell structures. Background technique [0002] At present, the research on the vibration control of laminated cylindrical shells is mainly to cover the surface of thin-walled cylindrical shells with piezoelectric layers, and to model based on the finite element method or Hamiltonian principle, so as to realize the vibration control of laminated cylindrical shells. analyze. However, in practical engineering applications, the cost of covering the entire surface of the cylindrical shell with piezoelectric materials is huge and difficult to achieve. [0003] In addition, the boundaries of cylindrical shells used in practical engineering applications are very complicated, and it is difficult to have ideal simple-supported, fixed-supported, and free-boundary cylin...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/17G06F111/04G06F119/14
Inventor 李朝峰李培勇张紫璇
Owner NORTHEASTERN UNIV LIAONING
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