Abstract
A three dimensional rational splines over hierarchical T-meshes (RHT-spline) for static and vibration analysis are studied in this work. The RHT-spline is a piecewise tricubic rational over a three dimensional hierarchical T-mesh. The idea is based on rational splines and exploits the flexibility of T-meshes for local refinement. The shape functions satisfy important properties such as non-negativity, local support, partition of unity and also achieves C1 continuity. The RHT-splines surfaces inherit all properties of B-spline and NURBS and allows local refinement efficiently. In addition, the RHT-splines can also be considered as a special type of Hermitian interpolation splines over Tmeshes. Several numerical examples are used to demonstrate the reliability of the present method.
| Original language | English |
|---|---|
| Title of host publication | 8th South African Conference on Computational and Applied Mechanics, SACAM 2012 - Conference Proceedings |
| Publisher | South African Association for Theoretical and Applied Mechanics (SAAM) |
| Pages | 66-71 |
| Number of pages | 6 |
| ISBN (Print) | 9780869707289 |
| Publication status | Published - 2012 |
| Externally published | Yes |
| Event | 8th South African Conference on Computational and Applied Mechanics, SACAM 2012 - Johannesburg, South Africa Duration: 2012 Sept 3 → 2012 Sept 5 |
Other
| Other | 8th South African Conference on Computational and Applied Mechanics, SACAM 2012 |
|---|---|
| Country/Territory | South Africa |
| City | Johannesburg |
| Period | 12/9/3 → 12/9/5 |
Keywords
- Isogeometric analysis
- Nurbs
- Rhtspline
- T-meshes
ASJC Scopus subject areas
- Computational Mechanics
- Mechanical Engineering