FURTHER DISCUSSION ON THE ANALYTICAL SOLUTIONS TO CURVED BEAM AND STRAIGHT BEAM

Yinggang Zhao; Yuwei Yang; Yingtao Zhao; Yang Gao; Minzhong Wang

doi:10.6052/1000-0879-22-102

FURTHER DISCUSSION ON THE ANALYTICAL SOLUTIONS TO CURVED BEAM AND STRAIGHT BEAM

Yinggang Zhao^*, Yuwei Yang, Yingtao Zhao, Yang Gao, Minzhong Wang

^*Corresponding author for this work

School of Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Bending of curved beams by forces at the end are typical elastic problem solved in polar coordinates, which are similar to cantilever problems in rectangular coordinates. The solutions of the curved beam problems will degenerate to straight cantilever beam with the curvature radius of curved beam tending to infinite, which shows the relationship between the curved beam bending problem and the straight beam bending problem.

Original language	English
Pages (from-to)	1189-1194
Number of pages	6
Journal	Mechanics in Engineering
Volume	44
Issue number	5
DOIs	https://doi.org/10.6052/1000-0879-22-102
Publication status	Published - Oct 2022

Keywords

Taylor expansion
bending of beam
curved beam
straight beam

Access to Document

10.6052/1000-0879-22-102

Cite this

@article{b03a187f07f34185876e81eef7858c94,

title = "FURTHER DISCUSSION ON THE ANALYTICAL SOLUTIONS TO CURVED BEAM AND STRAIGHT BEAM",

abstract = "Bending of curved beams by forces at the end are typical elastic problem solved in polar coordinates, which are similar to cantilever problems in rectangular coordinates. The solutions of the curved beam problems will degenerate to straight cantilever beam with the curvature radius of curved beam tending to infinite, which shows the relationship between the curved beam bending problem and the straight beam bending problem.",

keywords = "Taylor expansion, bending of beam, curved beam, straight beam",

author = "Yinggang Zhao and Yuwei Yang and Yingtao Zhao and Yang Gao and Minzhong Wang",

year = "2022",

month = oct,

doi = "10.6052/1000-0879-22-102",

language = "English",

volume = "44",

pages = "1189--1194",

journal = "Mechanics in Engineering",

issn = "1000-0879",

publisher = "Institute of mechanics, Chinese Academy of Sciences",

number = "5",

}

TY - JOUR

T1 - FURTHER DISCUSSION ON THE ANALYTICAL SOLUTIONS TO CURVED BEAM AND STRAIGHT BEAM

AU - Zhao, Yinggang

AU - Yang, Yuwei

AU - Zhao, Yingtao

AU - Gao, Yang

AU - Wang, Minzhong

PY - 2022/10

Y1 - 2022/10

N2 - Bending of curved beams by forces at the end are typical elastic problem solved in polar coordinates, which are similar to cantilever problems in rectangular coordinates. The solutions of the curved beam problems will degenerate to straight cantilever beam with the curvature radius of curved beam tending to infinite, which shows the relationship between the curved beam bending problem and the straight beam bending problem.

AB - Bending of curved beams by forces at the end are typical elastic problem solved in polar coordinates, which are similar to cantilever problems in rectangular coordinates. The solutions of the curved beam problems will degenerate to straight cantilever beam with the curvature radius of curved beam tending to infinite, which shows the relationship between the curved beam bending problem and the straight beam bending problem.

KW - Taylor expansion

KW - bending of beam

KW - curved beam

KW - straight beam

UR - http://www.scopus.com/inward/record.url?scp=85140021832&partnerID=8YFLogxK

U2 - 10.6052/1000-0879-22-102

DO - 10.6052/1000-0879-22-102

M3 - Article

AN - SCOPUS:85140021832

SN - 1000-0879

VL - 44

SP - 1189

EP - 1194

JO - Mechanics in Engineering

JF - Mechanics in Engineering

IS - 5

ER -

FURTHER DISCUSSION ON THE ANALYTICAL SOLUTIONS TO CURVED BEAM AND STRAIGHT BEAM

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this