Free-Form Optimization of Thin-Walled Structure for Frequency Response Problem
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We present a node-based free-form optimization method for designing forms of thin-walled structures in order to control vibration displacements or mode at a prescribed frequency.
A squared displacement error norm is introduced at the prescribed surface as the objective functional to control the vibration displacements to target values in a frequency response problem.
It is assumed that the thin-walled structure is varied in the normal direction to the surface and the thickness is constant.
A nonparametric shape optimization problem is formulated, and the shape gradient function is theoretically derived using the material derivative method and the adjoint variable method.
The shape gradient function obtained is applied to the surface of the thin-walled structure as a fictitious traction force to vary the form.
With this free-form optimization method, an optimum thin-walled structure with a smooth free-form surface can be obtained without any shape parameterization.
The calculated results show the effectiveness of the proposed method for the optimal free-form design of thin-walled structures with vibration mode control.
American Psychological Association (APA)
Shimoda, M.& Liu, Y.. 2015. Free-Form Optimization of Thin-Walled Structure for Frequency Response Problem. Shock and Vibration،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1078169
Modern Language Association (MLA)
Shimoda, M.& Liu, Y.. Free-Form Optimization of Thin-Walled Structure for Frequency Response Problem. Shock and Vibration No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1078169
American Medical Association (AMA)
Shimoda, M.& Liu, Y.. Free-Form Optimization of Thin-Walled Structure for Frequency Response Problem. Shock and Vibration. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1078169
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1078169