Non -linear vibration of deformation round board
[1]Huang Shitao.Non -linear vibration of deformation round board[J].Journal of Zhengzhou University (Engineering Science),1996,17(03):72-77.
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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
17卷
Number of periods:
1996 03
Page number:
72-77
Column:
Public date:
1996-03-28
- Title:
- Non -linear vibration of deformation round board
- CLC:
- -
- DOI:
- -
- Abstract:
- This article uses the method of finite element to study the round pole of deformation, and the non -linear vibration conditions made during large deformation. The article first exports the non -linear partial micro -divide and its boundary conditions in general. Then, use the node seat label and insert function to rewrite the strain energy and kinetic energy of the circular plate, and then apply the Hamilton principle to obtain the equation of the matrix form of the thickness round plate when the large deformation is obtained. The corresponding boundary conditions are imposed into the matrix equation so that the equation meets the boundary conditions. Then, the recursion method is used to solve the characteristics of its characteristic value. This article uses an example to illustrate the relationship between the base frequency and amplitude when the thickness of the deformation board is not linear vibration. The accuracy of its calculation results is better than other methods. This method can be promoted to the non -linear vibration problem of other similar round boards.
- References:
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- Similar References:
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Last Update:
1900-01-01