کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
782663 1465033 2011 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Vibrations of rectangular plates with internal cracks or slits
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Vibrations of rectangular plates with internal cracks or slits
چکیده انگلیسی

This work applies the famous Ritz method to analyze the free vibrations of rectangular plates with internal cracks or slits. To retain the important and useful feature of the Ritz method providing the upper bounds on exact natural frequencies, the paper proposes a new set of admissible functions that are able to properly describe the stress singularity behaviors near the tips of the crack and meet the discontinuous behaviors of the exact solutions across the crack. The validity of the proposed set of functions is confirmed through comprehensive convergence studies on the frequencies of simply supported square plates with horizontal center cracks having different lengths. The convergent frequencies show excellent agreement with published accurate results obtained by an integration equation technique, and are more accurate than those obtained by a previously published approach using the Ritz method combined with a domain decomposition technique. Finally, the present solution is employed to obtain accurate natural frequencies and mode shapes for simply supported and completely free square plates with internal cracks having various locations, lengths, and angular orientations. Most of the configurations considered here have not been analyzed in the previously published literature. The present results are novel, and are the first published vibration data for completely free rectangular plates with internal cracks and for plates with internal cracks, which are not parallel to the boundaries.


► The Ritz method was applied to analyze the vibrations of thin cracked plates.
► A novel set of admissible functions was proposed.
► The admissible functions catch the features of stress singularities at crack tips.
► Comprehensive convergence studies validated the proposed solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Mechanical Sciences - Volume 53, Issue 6, June 2011, Pages 436–445
نویسندگان
, , ,