Approximate boundary layer solution of a moving beam problem

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Pakdemirli M., Ozkaya E.

Mathematical and Computational Applications, vol.3, no.2, pp.93-100, 1998 (Scopus, TRDizin)

• Publication Type: Article / Article
• Volume: 3 Issue: 2
• Publication Date: 1998
• Doi Number: 10.3390/mca3020093
• Journal Name: Mathematical and Computational Applications
• Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
• Page Numbers: pp.93-100
• Manisa Celal Bayar University Affiliated: Yes

Abstract

The transverse vibrations of a simply supported beam moving with constant velocity is considered. The case of transition from string to beam effects is treated. In this model, the fourth order spatial derivative multiplies a small parameter and hence leads to a boundary layer problem. The problem is solved approximately using the method of multiple scales.