Structural Topology Optimization with Respect to Eigenfrequencies of Vibration

  • Niels Olhoff
  • Jianbin Du
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 549)


A frequent goal of the design of vibrating structures is to avoid resonance of the structure in a given interval for external excitation frequencies. This can be achieved by, e.g., maximizing the fundamental eigenfrequency, an eigenfrequency of higher order, or the gap between two consecutive eigenfrequencies of given order, subject to a given amount of structural material and prescribed boundary conditions. Mathematical formulations and methods of numerical solution of these topology optimization problems are presented for linearly elastic structures without damping in this paper, and several illustrative results are shown.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© CISM, Udine 2014

Authors and Affiliations

  • Niels Olhoff
    • 1
  • Jianbin Du
    • 2
  1. 1.Department of Mechanical and Manufacturing EngineeringAalborg UniversityAalborg EastDenmark
  2. 2.School of AerospaceTsinghua UniversityBeijingChina

Personalised recommendations