樑在強非線性彈性基底上時之靜態撓曲的解析解

Translated title of the contribution: Analytic Static Deflection Solutions of Beams Resting on Strong Nonlinear Elastic Foundations

Chao Kuang Chen, Li Kuo Chou, Sen-Yung Lee

Research output: Contribution to journalArticle

Abstract

The analytic static deflection solutions of beams resting on nonlinear elastic foundations are developed by the modified Adomian method. If the applied force function is an analytic function, then the deflection function can be derived and expressed in Maclaurin series. A recurrence relation for the coefficients of the Maclaurin series is derived. It is shown that the proposed solution method is accurate and efficient. The solution method can be successfully applied to the problem with strong nonlinearity. The results are also compared with those obtained by the perturbation method. It is found that the error of the perturbation solution will increase not only when the nonlinear parameter is increased but also when the applied load is increased.

Original languageChinese
Pages (from-to)99-104
Number of pages6
JournalJournal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao
Volume39
Issue number1
Publication statusPublished - 2018 Feb 1

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

@article{d184ba1161864139a25218521fba7c8c,
title = "樑在強非線性彈性基底上時之靜態撓曲的解析解",
abstract = "The analytic static deflection solutions of beams resting on nonlinear elastic foundations are developed by the modified Adomian method. If the applied force function is an analytic function, then the deflection function can be derived and expressed in Maclaurin series. A recurrence relation for the coefficients of the Maclaurin series is derived. It is shown that the proposed solution method is accurate and efficient. The solution method can be successfully applied to the problem with strong nonlinearity. The results are also compared with those obtained by the perturbation method. It is found that the error of the perturbation solution will increase not only when the nonlinear parameter is increased but also when the applied load is increased.",
author = "Chen, {Chao Kuang} and Chou, {Li Kuo} and Sen-Yung Lee",
year = "2018",
month = "2",
day = "1",
language = "Chinese",
volume = "39",
pages = "99--104",
journal = "Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao",
issn = "0257-9731",
publisher = "Chinese Mechanical Engineering Society",
number = "1",

}

TY - JOUR

T1 - 樑在強非線性彈性基底上時之靜態撓曲的解析解

AU - Chen, Chao Kuang

AU - Chou, Li Kuo

AU - Lee, Sen-Yung

PY - 2018/2/1

Y1 - 2018/2/1

N2 - The analytic static deflection solutions of beams resting on nonlinear elastic foundations are developed by the modified Adomian method. If the applied force function is an analytic function, then the deflection function can be derived and expressed in Maclaurin series. A recurrence relation for the coefficients of the Maclaurin series is derived. It is shown that the proposed solution method is accurate and efficient. The solution method can be successfully applied to the problem with strong nonlinearity. The results are also compared with those obtained by the perturbation method. It is found that the error of the perturbation solution will increase not only when the nonlinear parameter is increased but also when the applied load is increased.

AB - The analytic static deflection solutions of beams resting on nonlinear elastic foundations are developed by the modified Adomian method. If the applied force function is an analytic function, then the deflection function can be derived and expressed in Maclaurin series. A recurrence relation for the coefficients of the Maclaurin series is derived. It is shown that the proposed solution method is accurate and efficient. The solution method can be successfully applied to the problem with strong nonlinearity. The results are also compared with those obtained by the perturbation method. It is found that the error of the perturbation solution will increase not only when the nonlinear parameter is increased but also when the applied load is increased.

UR - http://www.scopus.com/inward/record.url?scp=85059738351&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85059738351&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85059738351

VL - 39

SP - 99

EP - 104

JO - Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao

JF - Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao

SN - 0257-9731

IS - 1

ER -