### 抄録

The emphasis of this paper is on the derivation of finite displacement fields in which warping displacement is fully examined. The resulting displacement fields are considered to be accurate in the sense that all the second-order terms with respect to displacements are taken into account. The principle of virtual work is used to derive equilibrium equations and associated boundary conditions. The validity of the governing equilibrium equations is verified by comparison with currently accepted equilibrium equations for typical cases. Numerical analysis is restricted primarily to procedures embodying the finite element method, where nonlinear problems can be formulated using Hellinger-Reissner's Principle with the help of mixed finite elements. Governing nonlinear equations are solved by Newton-Raphson's method. The validity of the formulation is illustrated through numerical solutions for nonlinear behavior of a curved and twisted thin-walled beam, and a comparison of these solutions with experimental results.

元の言語 | English |
---|---|

ホスト出版物のタイトル | Memoirs of the School of Science and Engineering, Waseda University |

ページ | 277-294 |

ページ数 | 18 |

エディション | 46 |

出版物ステータス | Published - 1982 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### これを引用

*Memoirs of the School of Science and Engineering, Waseda University*(46 版, pp. 277-294)

**FINITE DISPLACEMENT THEORY OF CURVED AND TWISTED THIN-WALLED BEAMS.** / Hirashima, Masaharu; Yoda, Teruhiko.

研究成果: Chapter

*Memoirs of the School of Science and Engineering, Waseda University.*46 Edn, pp. 277-294.

}

TY - CHAP

T1 - FINITE DISPLACEMENT THEORY OF CURVED AND TWISTED THIN-WALLED BEAMS.

AU - Hirashima, Masaharu

AU - Yoda, Teruhiko

PY - 1982

Y1 - 1982

N2 - The emphasis of this paper is on the derivation of finite displacement fields in which warping displacement is fully examined. The resulting displacement fields are considered to be accurate in the sense that all the second-order terms with respect to displacements are taken into account. The principle of virtual work is used to derive equilibrium equations and associated boundary conditions. The validity of the governing equilibrium equations is verified by comparison with currently accepted equilibrium equations for typical cases. Numerical analysis is restricted primarily to procedures embodying the finite element method, where nonlinear problems can be formulated using Hellinger-Reissner's Principle with the help of mixed finite elements. Governing nonlinear equations are solved by Newton-Raphson's method. The validity of the formulation is illustrated through numerical solutions for nonlinear behavior of a curved and twisted thin-walled beam, and a comparison of these solutions with experimental results.

AB - The emphasis of this paper is on the derivation of finite displacement fields in which warping displacement is fully examined. The resulting displacement fields are considered to be accurate in the sense that all the second-order terms with respect to displacements are taken into account. The principle of virtual work is used to derive equilibrium equations and associated boundary conditions. The validity of the governing equilibrium equations is verified by comparison with currently accepted equilibrium equations for typical cases. Numerical analysis is restricted primarily to procedures embodying the finite element method, where nonlinear problems can be formulated using Hellinger-Reissner's Principle with the help of mixed finite elements. Governing nonlinear equations are solved by Newton-Raphson's method. The validity of the formulation is illustrated through numerical solutions for nonlinear behavior of a curved and twisted thin-walled beam, and a comparison of these solutions with experimental results.

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UR - http://www.scopus.com/inward/citedby.url?scp=0020340935&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0020340935

SP - 277

EP - 294

BT - Memoirs of the School of Science and Engineering, Waseda University

ER -