DPS Blockset Demo Heated metal body

The metal body heating with four heating elements is modeled by lumped-input / distrinuted-output system. System dynamics is given by finite elements method numerical structures of metal body $\Omega$ , corresponding to parabolic type partial differential equation and transfer functions of heating elements: $SA_{i}(s)$ , $SG_{i}(s)$ and $T_{i}(x,y,z)$ , where $T_{i}(x,y,z)$ is shaping unit of i-th distributed input quantity (i=1-4).

Contents

Scheme
Description
Model
LDS block characteristics

Scheme

Description

$\Omega$ - heated body

$\Omega_{i}$ - i-th subdomain of definition area

$SA_{i}$ - transfer function of i-th actuating member

$SG_{i}$ - transfer function of i-th distributed input generator

$U_{i}$ - i-th lumped input quantity

$T_{i}$ - shaping unit of i-th distributed input quantity

LDS - lumped-input / distributed-output system

Model

Material - 98,5Fe; 1,3C; 0,1Si; 0,1Mn

Number of lumped inputs - 4

Shapings units $T_{i}(x,y,z), i=1,2,4$ - conic form

Shapings units $T_{3}(x,y,z)$ - pyramidal form

Transfer function $SA_{i}(s), i=1..4$ - 1

Transfer function $SG_{i}(s), i=1..4$ - 1

LDS block characteristics

Analysed system response at first heating element voltage $U_{1}$ step change.

Analysed system response at first heating element voltage $U_{2}$ step change.

Analysed system response at first heating element voltage $U_{3}$ step change.

Analysed system response at first heating element voltage $U_{4}$ step change.