Abstract
One purpose of simulation describing the behaviors of structures is to optimize the performances within specific functional requirements and customers’ needs with respect to the design variables. For reduction of the volume of cathode ray tubes, the design of the glass geometry, especially funnel geometry, is essential while maintaining the internal vacuum pressure of the cathode ray tube. In order to describe the three-dimensional geometry of the funnel in cathode ray tubes, a higher-order response surface model is employed in the simulation model instead of non-uniform rational B-splines (NURBS) or Bezier curves because the response surface model is more robust for understanding the geometry change in finite element analysis. We formulate the design problem as a multi-criteria optimization because minimization of both volume and maximum stress is required. Using the response surface model of the geometry of the funnel and sequential quadratic programming within the process integration framework, the shape optimization of a funnel is successfully performed and the maximum stress level of the funnel is decreased by almost half.
Similar content being viewed by others
References
ANSYS Inc. (2000), ANSYS user’s guide, Ver. 5.6
Myers RH, Montgomery DC (1995) Response surface methodology: process and product optimization using designed experiments. Wiley, New York
Phoenix Integration Inc. (2001) ModelCenter v3.0 user’s guide
Roux WJ, Haftka RT (1998) Response surface approximations for structural optimization. Int J Numer Methods Eng 42:517–534
SAS Institute Inc. (1995) JMP computer program and user’s manual. Cary, NC
Shih CJ (1997) Fuzzy and improved penalty approaches for multi-criteria mixed-discrete optimization in structural systems. Comput Struct 63:559–565
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lee, T., Lee, K. Multi-criteria shape optimization of a funnel in cathode ray tubes using a response surface model. Struct Multidisc Optim 29, 374–381 (2005). https://doi.org/10.1007/s00158-004-0478-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00158-004-0478-9