©VIBROENGINEERING. VIBROENGINEERING PROCEDIA. SEPTEMBER 2013. VOLUME 1. ISSN 2345-0533 53
Simulation Model of Polyurethane Foam for Uniaxial
Dynamical Compression
D Cirkl and T Hruš
SIMULATION MODEL OF POLYURETHANE FOAM FOR UNIAXIAL DYNAMICAL COMPRESSION.
D CIRKL AND T HRUŠ
D Cirkl
1
and T Hruš
Dept. of Applied Mechanics, Faculty of Mechanical Engineering
Technical University of Liberec, Studentská 2, Liberec 460 01, Czech Republic
E-mail: david.cirkl@tul.cz
Abstract. Article deals with definition of model of mechanical properties of polyurethane foam with lumped
parameters. The problem is considered from the car driver vibroisolation point of view. Model definition
comprises restoring force, damping and frictional forces. It is verified for experimental results obtained from
measurement of PU foam specimen with open cells. Apart from empirical way of model constants setting the
optimization method of genetic algorithms is used for more simple phenomena.
1. Introduction
Polyurethane (PU) foam is a very extensively used material in vibroinsulation field and it is used
largely in the field of automobile seat cushioning production. For computer simulation of statistical or
dynamical behavior of seat with respect to passenger’s comfort it is necessary to describe the
properties of PU foam in sufficient degree which this paper deals with.
Properties of polyurethane foam were investigated on opened cells PU foam specimen of cubic
shape with size (100×100×50)mm, density 55kg/m
3
, made from material TDI.
The specimen was inserted into two parallel rigid plates and deformed by means of hydraulic
actuator. Kinematic displacement excitation x(t) has a triangle shape with constant amplitude
A=19.5mm, constant mean value A0=A=19.5mm and frequency varied in range f=(0.01÷1.28)Hz. It is
given by equation (1), where T=1/f is period of excitation and n=0, 1, 2, ..., ∞ means number of
periods (see figure 1).
( )
( ) ( )
4
4
; /2
() .
1 / 2; 1
A
T
A
T
t nT for t nT nT T
xt
t n T for t nT T n T
- ∈ +
=
- - + ∈ + +
(1)
2. Definition of PU foam model
t
x(t)
0
A
A =A 0
T
Figure 1. Triangle kinematic excitation of PU foam specimen.
Development of material model of polyurethane foam is documented by many publications. One
group of authors uses approach of mechanics of continuum [1, 2] while second one, more often, uses
method of models with lumped parameters or strictly mathematical design (e.g. [3, 4, 5]). The level of
1
Corresponding author