Mathematical modeling of bending of a circular plate using $S$-splines
This article is dedicated to the use of higher degree $S$-splines for solving equations of the elasticity theory. As an example we consider the solution to the equation of bending of a plate on a circle. $S$-spline is a piecewise-polynomial function. Its coefficients are defined by two conditions. T...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Computer Science
2015-10-01
|
| Series: | Компьютерные исследования и моделирование |
| Subjects: | |
| Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2015_5/15.07.01.pdf |
| Summary: | This article is dedicated to the use of higher degree $S$-splines for solving equations of the elasticity theory. As an example we consider the solution to the equation of bending of a plate on a circle. $S$-spline is a piecewise-polynomial function. Its coefficients are defined by two conditions. The first part of the coefficients are defined by the smoothness of the spline. The rest are determined using the least-squares method. We consider class $C^4$ 7th degree $S$-splines. |
|---|---|
| ISSN: | 2076-7633 2077-6853 |