Static, vibration, and transient dynamic analyses by beam element with adaptive displacement interpolation functions
type: Item
instance of: scholarly article
title: Static, vibration, and transient dynamic analyses by beam element with adaptive displacement interpolation functions
zbMATH Open document ID: 1264.74141
DOI: 10.1155/2012/212709
author: Shuang Li
author: Jinjun Hu
author: Changhai Zhai
author: Li-Li Xie
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: An approach to analyzing structures by using beam elements is developed with adaptive displacement interpolation functions. First, the element stiffness matrix and equivalent nodal loads are derived on the basis of the equilibrium between nodal forces and section forces rather than the compatibility between nodal deformations and section deformations, which avoids discretization errors caused by the limitation of conventional polynomial interpolation functions. Then, six adaptive element displacement interpolation functions are derived and extended to include several cases, such as beams with variable cross-section, variable material properties, and many different steps in cross-section and/or material properties. To make the element usable in dynamic analyses, consistent mass matrix (CMM) and diagonally lumped mass matrix (LMM) are constructed using the presented adaptive displacement interpolation functions. All these features have made the element elegant, which is tested with a number of simple static, vibration, and dynamic examples to show its accuracy.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 6173099
Wikidata QID: Q58911300
describes a project that uses: FEAPpv
describes a project that uses: ANSYS
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/212709
OpenAlex ID: W2044103750
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description: scientific article; zbMATH DE number 6173099