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Size-Dependent Effect on Natural Frequency of Hemispherical Shells Based on Modified Couple Stress Theory

  • 2025
  • OriginalPaper
  • Chapter
Published in:
Authors
Piyawat Suwankornkij
Tawich Pulngern
Weeraphan Jiammeepreecha
Chanachai Tangbanjongkij
Somchai Chucheepsakul
Published in
Proceedings of the 18th East Asia-Pacific Conference on Structural Engineering and Construction, Volume 3
Publisher
Springer Nature Singapore

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Abstract

This chapter delves into the size-dependent effect on the natural frequencies of hemispherical shells, utilizing modified couple stress theory (MCST) to analyze nano-scale structures. The study employs both generalized differential quadrature (GDQ) and finite element methods (FEM) to investigate the frequencies and mode shapes under different boundary conditions. The convergence study reveals that both methods yield accurate results with 16 nodes, with FEM showing a higher rate of convergence. The analysis highlights that shells based on MCST exhibit higher natural frequencies compared to classical theory, with the difference becoming more pronounced in higher-order modes and under clamped support conditions. The mode shapes, while similar between MCST and classical theory, show variations near the boundary depending on the support type. The chapter concludes that the size effect is significant under boundary conditions with many constraints and in the analysis of higher-order modes, providing valuable insights for applications in nanotechnology and structural engineering.
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Title
Size-Dependent Effect on Natural Frequency of Hemispherical Shells Based on Modified Couple Stress Theory
Authors
Piyawat Suwankornkij
Tawich Pulngern
Weeraphan Jiammeepreecha
Chanachai Tangbanjongkij
Somchai Chucheepsakul
Copyright Year
2025
Publisher
Springer Nature Singapore
Book
Proceedings of the 18th East Asia-Pacific Conference on Structural Engineering and Construction, Volume 3

Print ISBN: 978-981-9500-89-5

Electronic ISBN: 978-981-9500-90-1

Copyright Year: 2025

DOI
https://doi.org/10.1007/978-981-95-0090-1_49
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