A Plate Bending Kirchhoff Element Based on Assumed Strain Functions
عنوان مقاله: A Plate Bending Kirchhoff Element Based on Assumed Strain Functions
شناسه ملی مقاله: JR_JSMA-12-4_014
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_JSMA-12-4_014
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
F Boussem - Biskra University, BP۱۴۵ Biskra ۰۷۰۰۰, Algeria
L Belounar - NMISSI Laboratory, Biskra University, BP۱۴۵ Biskra ۰۷۰۰۰, Algeria
خلاصه مقاله:
F Boussem - Biskra University, BP۱۴۵ Biskra ۰۷۰۰۰, Algeria
L Belounar - NMISSI Laboratory, Biskra University, BP۱۴۵ Biskra ۰۷۰۰۰, Algeria
To investigate static and free vibration for thin plate bending structures, a four-node quadrilateral finite element is proposed in this research paper. This element has been formulated by using both the assumptions of thin plates theory (Kirchhoff plate theory) and strain approach. The suggested element which possesses only three degrees of freedom (one transverse displacement and two normal rotations) at each of four corner nodes is based on assumed higher-order functions for the various components of strain field that satisfies the compatibility equation. The displacement functions of the developed element are obtained by integrating the assumed strains functions and satisfy the exact representation of the rigid body modes. Several numerical tests in both static and free vibration analysis are presented to assess the performance of the new element. The obtained results show high solution accuracy, especially for coarse meshes, of the developed element compared with analytical and other numerical solutions available in the literature.
کلمات کلیدی: Strain approach, Plate bending, Kirchhoff plate theory, Higher-order strain field, Free vibration
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1198538/