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

This paper presents a C0 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 C0 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 C0 element is also analyzed. The results of the analyses are compared with other numerical formulations and show that the enriched C0 element proposed in this paper has good performance.