Finding high-order solutions of Chien's perturbation method to study convergence by computer
type: Item
instance of: scholarly article
title: Finding high-order solutions of Chien's perturbation method to study convergence by computer
zbMATH Open document ID: 0659.73061
DOI: 10.1007/BF01898220
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1986-01-01T00:00:00Z
review text: We obtain the analytical formula of an arbitrary n-th order perturbation solution whose perturbation parameter is the central deflection for a circular thin plate under a concentrated load by means of its integral equation. All unknown constants of every perturbation solution can be determined by a computer. Hence, a higher order perturbation solution is obtained. Based on the solution of higher order perturbation, asymptotical properties and a suitable interval for Chien's perturbation solution are also discussed.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 45M05
zbMATH DE Number: 4078953
zbMATH Keywords: convergence criterion for series expansion
zbMATH Keywords: n-th order perturbation solution
zbMATH Keywords: central deflection
zbMATH Keywords: circular thin plate
zbMATH Keywords: concentrated load
zbMATH Keywords: integral equation
zbMATH Keywords: asymptotical proprties
author: Kai-Yuan Yeh
author: Youhe Zhou
MaRDI profile type: Publication
cites work: Q5824116
cites work: A new approach to the analysis of shells, plates and membranes with finite deflections
cites work: Q4096558
cites work: The perturbation parameter in the problem of large deflection of clamped circular plates
cites work: Chien's solution and its asymptotic behavior in large deflection of circular plates
full work available at URL: https://doi.org/10.1007/bf01898220
OpenAlex ID: W2067176101
description: scientific article; zbMATH DE number 4078953