Vibration and buckling of initially stressed curved beams

L. W. Chen, G. S. Shen

研究成果: Article同行評審

15 引文 斯高帕斯(Scopus)

摘要

Equations of motion for curved beams in a general state of non-uniform initial stresses are derived using the principle of virtual work. The equations are adjusted to a generic expression by using appropriate transformations. The free vibration behaviours of the curved beams subjected to a combination of uniform initial tensile of compressive stresses and uniform initial bending stress are examined. The Galerkin method is employed in obtaining accurate values of free frequencies and initial buckling stresses. The curved beam is assumed to be vibrating in its plane. Natural frequencies and initial buckling stresses for hinged supported curved beams are presented for validation. Effects of arc segment angles, elastic foundation, and initial stresses on the natural frequencies are investigated. Effects of arc segment angles, elastic foundation, and initial bending stresses on the initial buckling stresses are explored in this paper.

原文English
頁(從 - 到)511-526
頁數16
期刊Journal of Sound and Vibration
215
發行號3
DOIs
出版狀態Published - 1998 八月 20

All Science Journal Classification (ASJC) codes

  • 凝聚態物理學
  • 材料力學
  • 聲學與超音波
  • 機械工業

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