In the present study, a theoretical formulation based on the collocation method is presented for the vibration analysis of arbitrarily shaped membranes. The mathematical relation between the two points of selected collocation points is given by a special function, the so-called non-dimensional dynam
Shape analysis in membrane vibration
✍ Scribed by John Cagnol; Jean-Paul Zolésio
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 193 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0170-4214
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📜 SIMILAR VOLUMES
An adaptable curved quadrilateral element based on quadratic B-splines is developed for finite element analysis of membrane vibration problems. The approximated displacement field in each element is divided into corners, edges and internal modes. The number of knots on the edges of elements are dist
In reference [1], the authors presented the so-called non-dimensional dynamic in#uence function method for membrane vibration. A regular formulation and singularity-free method were obtained. Also, a symmetry and meshless formulation can be achieved. The auxiliary system is a complementary solution