재귀 분석법을 이용한 고차의 I보 해석 기법

Translated title of the contribution: Higher-Order I-Section Beam Analysis Using Recursive Analysis

Research output: Contribution to journalArticlepeer-review

Abstract

To predict the responses of I-section beams (that is, displacements and stresses) under bending loads including end effects, a one-dimensional higher-order beam analysis requires numerous cross-sectional deformation modes. In this study, we establish a new recursive analysis method for I-section beams that can provide as many sectional deformation modes as required. In contrast to earlier studies that calculate the modes numerically by discretizing the cross-section using beam / shell elements, the proposed method derives the modes analytically. Hence, the shape functions of the resulting modes are written in closed form and are thus available irrespective of the cross-sectional dimensions of the I-section beams. Additionally, the resulting recursive relations between sectional shape functions allow us to establish explicit stress-generalized force relations applicable for higher-order I-section beam analysis. To check the validity of the proposed method, several examples of interpreting displacements and stresses of I-section beams are considered.

Translated title of the contributionHigher-Order I-Section Beam Analysis Using Recursive Analysis
Original languageKorean
Pages (from-to)701-720
Number of pages20
JournalTransactions of the Korean Society of Mechanical Engineers, A
Volume47
Issue number9
DOIs
StatePublished - 2023

Keywords

  • Cross-Sectional Deformation
  • I-Section Beam Higher-Order Beam Theory
  • Recursive Analysis
  • Sectional Shape Function

Fingerprint

Dive into the research topics of 'Higher-Order I-Section Beam Analysis Using Recursive Analysis'. Together they form a unique fingerprint.

Cite this