ブリージングクラックをもつはりの非線形定常振動解析（混合型変分原理による有限要素解析）

DOI DOI Web Site Web Site 被引用文献1件 参考文献8件 オープンアクセス

書誌事項

タイトル別名
  • Nonlinear Steady-State Vibration Analysis of a Beam with Breathing Cracks (Finite Element Analysis Based on the Mixed Variational Principle)
  • (Finite Element Analysis Based on the Mixed Variational Principle)
公開日
2008
DOI
  • 10.1299/jsdd.2.750
  • 10.1299/kikaic.73.1963
公開者
一般社団法人 日本機械学会

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説明

This paper presents a method for analysis of steady-state vibration of a beam with breathing cracks, which open and close during vibration. There are several papers treating problems of vibration analysis of a beam with breathing cracks. However, due to their treatments of the condition which determines the switch between the open and closed states of the crack, it is difficult for one to obtain steady-state vibration efficiently by methods such as the incremental harmonic balance method. Since opening and closing of a breathing crack depends on the sign of the bending moment, or the curvature, of the beam, the key point to this problem is explicit treatment of the bending moment. The mixed variational principle allows one to use deflection as well as bending moment as primary variables in the governing equation. In this paper a governing equation of a beam with breathing cracks is derived by a finite element procedure based on the mixed variational principle. Then, the derived governing equations are solved by combining the iteration method and the harmonic balance method. Finally, examples of analysis by the presented method are given.

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