Reduced order finite element modelling of a nonlinear system: An application to induction heating system

被引：0

作者：

Guha, Paramita ^{[1
]}

Nabi, Mashuq-Un ^{[1
]}

机构：

[1] Indian Institute of Technology, Delhi

来源：

International Journal of Engineering Systems Modelling and Simulation | 2015年 / 7卷 / 04期

关键词：

Finite element models; Induction heating systems; Model reduction techniques; Partial differential equations; PDEs; POD; Proper orthogonal decomposition;

D O I：

10.1504/IJESMS.2015.072507

中图分类号：

学科分类号：

摘要：

In this paper, a fully dynamic three dimensional induction heating system having axial symmetry is considered. The model is described by nonlinear partial differential equations and nonlinearities are due to dependence of specific heat, thermal and electrical conductivities on temperatures. A mathematical model in nonlinear ordinary differential form is obtained. A reduction technique is applied to obtain a reduced model for further use. Error due to the reduction is obtained and it has been observed that the error is quite small thus illustrating the validity of this model. Numerical results and possible extensions are given. © 2015 Inderscience Enterprises Ltd.

引用

页码：223 / 229

页数：6

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