Dynamic plastic behaviour of a free-free beam striking the mid-span of a clamped beam with shear and membrane effects considered

Stephen R Reid, H. X. Liu, J. L. Yang

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A finite element with generalized degrees of freedom (FEGDOF) and a finite strip with generalized degrees of freedom (FSGDOF) are developed for the dynamic analyses of beams and plates with cross-section varying in a continuous or discontinuous manner. The degrees of freedom (DOF) of the finite element are transformed into generalized degrees of freedom (GDOF). The admissible interpolating functions for the FEGDOF and FSGDOF are derived accordingly. To the best knowledge of the authors, it is the first time that the second order polynomials are employed in the dynamic analysis of flexural beams and plates, which simplifies the derivation of finite element or finite strip formulation. Numerical examples demonstrate the satisfactory accuracy, efficiency and versatility of the presented approach. (C) 2003 Published by Elsevier Ltd.

Original languageEnglish
Pages (from-to)813-830
Number of pages17
JournalInternational Journal of Mechanical Sciences
Volume45
DOIs
Publication statusPublished - 2003

Keywords

  • FLEXURAL-SHEAR PLATES
  • FREE-VIBRATION

Cite this

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title = "Dynamic plastic behaviour of a free-free beam striking the mid-span of a clamped beam with shear and membrane effects considered",
abstract = "A finite element with generalized degrees of freedom (FEGDOF) and a finite strip with generalized degrees of freedom (FSGDOF) are developed for the dynamic analyses of beams and plates with cross-section varying in a continuous or discontinuous manner. The degrees of freedom (DOF) of the finite element are transformed into generalized degrees of freedom (GDOF). The admissible interpolating functions for the FEGDOF and FSGDOF are derived accordingly. To the best knowledge of the authors, it is the first time that the second order polynomials are employed in the dynamic analysis of flexural beams and plates, which simplifies the derivation of finite element or finite strip formulation. Numerical examples demonstrate the satisfactory accuracy, efficiency and versatility of the presented approach. (C) 2003 Published by Elsevier Ltd.",
keywords = "FLEXURAL-SHEAR PLATES, FREE-VIBRATION",
author = "Reid, {Stephen R} and Liu, {H. X.} and Yang, {J. L.}",
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volume = "45",
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journal = "International Journal of Mechanical Sciences",
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publisher = "Elsevier",

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TY - JOUR

T1 - Dynamic plastic behaviour of a free-free beam striking the mid-span of a clamped beam with shear and membrane effects considered

AU - Reid, Stephen R

AU - Liu, H. X.

AU - Yang, J. L.

PY - 2003

Y1 - 2003

N2 - A finite element with generalized degrees of freedom (FEGDOF) and a finite strip with generalized degrees of freedom (FSGDOF) are developed for the dynamic analyses of beams and plates with cross-section varying in a continuous or discontinuous manner. The degrees of freedom (DOF) of the finite element are transformed into generalized degrees of freedom (GDOF). The admissible interpolating functions for the FEGDOF and FSGDOF are derived accordingly. To the best knowledge of the authors, it is the first time that the second order polynomials are employed in the dynamic analysis of flexural beams and plates, which simplifies the derivation of finite element or finite strip formulation. Numerical examples demonstrate the satisfactory accuracy, efficiency and versatility of the presented approach. (C) 2003 Published by Elsevier Ltd.

AB - A finite element with generalized degrees of freedom (FEGDOF) and a finite strip with generalized degrees of freedom (FSGDOF) are developed for the dynamic analyses of beams and plates with cross-section varying in a continuous or discontinuous manner. The degrees of freedom (DOF) of the finite element are transformed into generalized degrees of freedom (GDOF). The admissible interpolating functions for the FEGDOF and FSGDOF are derived accordingly. To the best knowledge of the authors, it is the first time that the second order polynomials are employed in the dynamic analysis of flexural beams and plates, which simplifies the derivation of finite element or finite strip formulation. Numerical examples demonstrate the satisfactory accuracy, efficiency and versatility of the presented approach. (C) 2003 Published by Elsevier Ltd.

KW - FLEXURAL-SHEAR PLATES

KW - FREE-VIBRATION

U2 - 10.1016/S0020-7403(03)00138-3

DO - 10.1016/S0020-7403(03)00138-3

M3 - Article

VL - 45

SP - 813

EP - 830

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

SN - 0020-7403

ER -