Probability distribution function inspired structural optimization for frequency response problems

Hong Kyoung Seong, Jeonghoon Yoo

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This study introduces an innovative topological optimization scheme for frequency response problems using the phase field design method. In the proposed approach, the frequency response function is mapped onto a probability distribution function where the mean value of the probability distribution function becomes the resonance frequency and the variance corresponds to its bandwidth. Using the mapping concept, the frequency characteristics such as the resonance frequency and bandwidth can be directly included in the formulation of the design objective function. Therefore, the mapping process enables to handle frequency characteristics in topological design for frequency response problems. As numerical examples, the resonance frequency maximization problem of a cantilever beam, bandwidth maximization of a clamped end beam and the bandwidth minimization problem of a plasmonic grating coupler are presented to demonstrate the validity of the proposed method.

Original languageEnglish
Pages (from-to)783-802
Number of pages20
JournalComputer Methods in Applied Mechanics and Engineering
Volume318
DOIs
Publication statusPublished - 2017 May 1

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Structural optimization
probability distribution functions
Probability distributions
frequency response
Frequency response
Distribution functions
Bandwidth
optimization
bandwidth
Cantilever beams
cantilever beams
couplers
gratings
formulations

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

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Probability distribution function inspired structural optimization for frequency response problems. / Seong, Hong Kyoung; Yoo, Jeonghoon.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 318, 01.05.2017, p. 783-802.

Research output: Contribution to journalArticle

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