Numerical analysis of plane stress free vibration in severely distorted mesh by Generalized Finite Element Method

作者：Shang Hsu Yang; Machado Roberto Dalledone; Abdalla Filho Joao Elias; Arndt Marcos

来源：European Journal of Mechanics - A: Solids , 2017, 62: 50-66.

DOI：10.1016/j.euromechsol.2016.11.006

• Generalized Finite Element Method
• Distorted mesh
• Sensitivity test
• Enriched C-0 element
• Free vibration

This paper presents a C-0 quadrilateral enriched element by the Generalized Finite Element Method, having trigonometric and exponential functions as enrichment functions, applied in free vibration analysis with distorted mesh. The stiffness and mass matrices are obtained by subintervals numerical integration. The efficiency of the enriched C-0 element is observed by solving several plane stress free vibrations problems. The analyses include uniform and non-uniform mesh models, and severely distorted meshes. Furthermore, the sensitivity of the enriched C-0 element is also analyzed. The results of the analyses are compared with other numerical formulations and show that the enriched C-0 element proposed in this paper has good performance.

• 出版日期2017-4