The influence of corner stress singularities on the vibration characteristics of rhombic plates with combinations of simply supported and free edges
type: Item
instance of: scholarly article
title: The influence of corner stress singularities on the vibration characteristics of rhombic plates with combinations of simply supported and free edges
zbMATH Open document ID: 0957.74020
DOI: 10.1016/S0020-7403(97)00120-3
author: Yanyan Li
published in: International Journal of Mechanical Sciences
publication date: 2000-01-17T00:00:00Z
review text: This study is devoted to an accurate calculation of flexural eigenvibrations of elastic rhombic plates whose individual sides are either simply supported or free, respectively (five combinations are considered). It is shown that the occurring stress singularities at two opposite corners with obtuse angles become significant for the solution for highly skewed plates. Therefore the authors use in the numerical approximation (based on the Ritz method) as admissible functions, in addition to the complete algebraic polynomials, the so-called ``corner functions'' which account for the stress singularities and are shown to accelerate the solutions essentially. Detailed results for eigenfrequencies and mode shapes are presented for illustration.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74H35
Mathematics Subject Classification ID: 74H15
zbMATH DE Number: 1389043
zbMATH Keywords: corner mode shapes
zbMATH Keywords: flexural eigenvibrations
zbMATH Keywords: rhombic plates
zbMATH Keywords: stress singularities
zbMATH Keywords: obtuse angles
zbMATH Keywords: numerical approximation
zbMATH Keywords: mode shapes
reviewed by: Hans Bufler
MaRDI profile type: Publication
full work available at URL: s0020-7403(97)00120-3
OpenAlex ID: W1995041359
Wikidata QID: Q127647356
description: scientific article; zbMATH DE number 1389043