Skip to main content

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 137))

  • 4182 Accesses

Abstract

This research presents a structural topology optimization method for the design of mechanical resonators, and smart structures, such as mechanical actuators and sensors, that are composed of flexible structures and mechanical energy conversion devices. First, the concept of the topology optimization method is briefly discussed. Next, we clarify the mechanical design specifications of mechanical resonators, actuators and sensors, and construct objective functions that aim to satisfy design specifications. Based on these formulations, an optimization algorithm is constructed using Sequential Linear Programming (SLP). Finally, several numerical examples are presented in order to confirm that the method presented here can provide optimized structures applicable to the design of mechanical resonators, mechanical actuators and sensors.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M.P. Bendsøe and N. Kikuchi, Generating optimal topologies in structural design using a homogenization method, Comput. Meth. Appl. Mech. Engrng., 71, 197–224 (1988).

    Article  MATH  Google Scholar 

  2. K. Suzuki and N. Kikuchi, A homogenization method for shape and topology optimization, Comput. Meth. Appl. Mech. Engrng., 93, 291–318 (1991).

    Article  MATH  Google Scholar 

  3. R.J. Yang and C.H. Chung, Optimal topology design using linear programming, Comput. & Struct., 53, 265–275 (1994).

    Article  Google Scholar 

  4. M.P. Bendsøe and O. Sigmund, Material interpolation schemes in topology optimization, Arch. Appl Mech., 69, 635–654 (1999).

    Article  MATH  Google Scholar 

  5. Y. Maeda, S. Nishiwaki, K. Izui, M. Yoshimura, K. Matsui and K. Terada, Structural topology optimization of vibrating structures with specified eigen-frequencies and eigen-mode shapes, Int. J. Numer. Meth. Engrg., to appear.

    Google Scholar 

  6. E.C.N. Silva, S. Nishiwaki and N. Kikuchi, Topology optimization design of flextensional actuators, IEEE Trans. Ultrasonics, Ferroelectrics, and Frequency Control, 47(3), 657–671 (2000).

    Article  Google Scholar 

  7. R.C. Carbonari, E.C.N. Silva and S. Nishiwaki, Design of piezoelectric multiactuated microtools using topology optimization, J. Smart Mater. Struct., 14, 1431–1447 (2005).

    Article  Google Scholar 

  8. E.C.N. Silva and S. Nishiwaki, Piezoresistive sensor design using topology optimization, in SPIE 12th Annual International Symposium on Smart Structures and Materials (2005).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this paper

Cite this paper

Nishiwaki, S., Silva, E.C.N., Matsui, K., Terada, K., Izui, K., Yoshimura, M. (2006). Structural Topology Optimization of Mechanical Resonators, Actuators and Sensors. In: Bendsøe, M.P., Olhoff, N., Sigmund, O. (eds) IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials. Solid Mechanics and Its Applications, vol 137. Springer, Dordrecht . https://doi.org/10.1007/1-4020-4752-5_29

Download citation

  • DOI: https://doi.org/10.1007/1-4020-4752-5_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-4729-9

  • Online ISBN: 978-1-4020-4752-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics