An Efficient Reanalysis Method for Topological Optimization of Vibrating Continuum Structures for Simple and Multiple Eigenfrequencies

Joint Authors

Sun, Youhong
Yu, Yongping
Zhao, Xuqi
Zheng, Shaopeng

Source

Mathematical Problems in Engineering

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-11-05

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Civil Engineering

Abstract EN

This paper shows how the reanalysis method can be utilized for speeding up the optimized process in topology optimization related to vibrating structures for simple and multiple eigenfrequencies.

The block combined approximation with shifting (BCAS) method is used for reducing the computational effort included in repeated solution of eigenvalue problem, which will dominate a lot of the CPU time, especially for large problems.

By utilizing Level 3 Basic Linear Algebra Subprograms (BLAS), the computation efficiency of the BCAS method is improved.

For achieving an accurate optimal result, two indicators are presented to control the approximate reanalysis procedure.

The effectiveness of the proposed method is demonstrated by three numerical examples.

American Psychological Association (APA)

Sun, Youhong& Zhao, Xuqi& Yu, Yongping& Zheng, Shaopeng. 2018. An Efficient Reanalysis Method for Topological Optimization of Vibrating Continuum Structures for Simple and Multiple Eigenfrequencies. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1206426

Modern Language Association (MLA)

Sun, Youhong…[et al.]. An Efficient Reanalysis Method for Topological Optimization of Vibrating Continuum Structures for Simple and Multiple Eigenfrequencies. Mathematical Problems in Engineering No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1206426

American Medical Association (AMA)

Sun, Youhong& Zhao, Xuqi& Yu, Yongping& Zheng, Shaopeng. An Efficient Reanalysis Method for Topological Optimization of Vibrating Continuum Structures for Simple and Multiple Eigenfrequencies. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1206426

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1206426