Out-of-plane dynamic analysis of beams with arbitrarily varying curvature and cross-section by dynamic stiffness matrix method
type: Item
instance of: scholarly article
title: Out-of-plane dynamic analysis of beams with arbitrarily varying curvature and cross-section by dynamic stiffness matrix method
zbMATH Open document ID: 0991.74038
DOI: 10.1016/S0020-7683(99)00017-7
author: Yanyan Li
published in: International Journal of Solids and Structures
publication date: 2002-08-28T00:00:00Z
review text: The authors describe a derivation of dynamic stiffness matrix for noncircular curved beams with variable cross-section. First, they solve a boundary value problem for the governing differential equation by using Laplace transform and expressing the nodal force vector through the nodal displacement vector. Then, the obtained series solution is applied to beams of arbitrary shape and cross-section. The suggested approach can be considered as a variant of finite element method based on nodal displacements.
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 1443979
zbMATH Keywords: out-of-plane vibration
zbMATH Keywords: dynamic stiffness matrix
zbMATH Keywords: noncircular curved beams
zbMATH Keywords: Laplace transform
zbMATH Keywords: nodal force vector
zbMATH Keywords: nodal displacement vector
zbMATH Keywords: series solution
zbMATH Keywords: finite element method
reviewed by: Yuri N. Sankin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1443979