Optimum Support Layout Design for Periodically Loaded Structures Using Topology Optimization

Korade, A. T.; Rakshit, S.

doi:10.1007/978-981-15-5862-7_13

A. T. Korade¹¹ &
S. Rakshit¹¹

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

645 Accesses

Abstract

Optimal support layout design of structures under forced vibration is determined using topology optimization method. The vibrations of a structure can be reduced by adding external supports to the structure. Linear elastic springs are used as the external supports and the objective function used is dynamic compliance of structure. Solid Isometric Material with Penalty (SIMP) method is employed to solve the topology optimization problem. The optimal support locations are determined for cantilever beam and plate structures subjected to harmonic loads.

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

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 259.00; Price excludes VAT (USA)

Softcover Book: USD 329.99; Price excludes VAT (USA)

Hardcover Book: USD 329.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

Zargham S, Ward TA, Ramli R, Badruddin IA (2016) Topology Optimization: a review for structural designs under vibration problems. Struct Multidisc Optim 53:1157–1177
Article MathSciNet Google Scholar
Jihong Z, Weihong Z (2006) Maximization of structural natural frequency with optimal support layout. Struct Multidisc Optim 31:462–469
Article Google Scholar
Won KM, Park YS (1998) Optimal support position for a structure to maximize its fundamental natural frequency. J Sound Vib 213:801–812
Article Google Scholar
Ma ZD, Kikuchi N (1995) Topological design for vibrating structure. Comput Methods Appl Mech Eng 121:259–280
Article MathSciNet Google Scholar
Wang D (2004) Optimization of support positions to minimize maximal deflection of a structure. Int J Solids Struct 41:7445–7458
Article Google Scholar
Jog CS (2002) Topology design of structure subjected periodic loading. J Sound Vibr Eng 253:687–709
Article Google Scholar
Bendsoe MP, Sigmund O (2002) Topology optimization theory, methods and application. Springer, Denmark
MATH Google Scholar

Download references

Author information

Authors and Affiliations

Department of Mechanical Engineering, Indian Institute of Technology, Chennai, 600036, India
A. T. Korade & S. Rakshit

Authors

A. T. Korade
View author publications
You can also search for this author in PubMed Google Scholar
S. Rakshit
View author publications
You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. T. Korade .

Editor information

Editors and Affiliations

Department of Civil Engineering, Indian Institute of Technology Guwahati, Guwahati, India
Subashisa Dutta
Department of Civil Engineering, Işık University, Istanbul, Turkey
Esin Inan
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, India
Santosha Kumar Dwivedy

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Korade, A.T., Rakshit, S. (2021). Optimum Support Layout Design for Periodically Loaded Structures Using Topology Optimization. In: Dutta, S., Inan, E., Dwivedy, S.K. (eds) Advances in Structural Vibration. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-5862-7_13

Download citation

DOI: https://doi.org/10.1007/978-981-15-5862-7_13
Published: 12 October 2020
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-5861-0
Online ISBN: 978-981-15-5862-7
eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics