© Faculty of Mechanical Engineering, Belgrade. All rights reserved FME Transactions (2012) 40, 153-164 153
Eugeniusz Rusiński
Professor
Wroclaw University of Technology, Poland
Faculty of Mechanical Engineering
Jerzy Czmochowski
Associate Professor
Wroclaw University of Technology, Poland
Faculty of Mechanical Engineering
Damian Pietrusiak
Research Assistant
Wroclaw University of Technology, Poland
Faculty of Mechanical Engineering
Selected Problems in Designing and
Constructing Surface Mining
Machinery
Contemporary machine design not only needs to meet the applicable
requirements, norms and regulations but also requires a novel approach to
the designing process. The article presents the essence and role of
experimental and numerical analyses, which are becoming increasingly
popular in the designing process and in the testing of dynamically loaded
structures. What is particularly important in machine modeling is the
accuracy of representation and thus the complexity of the model. In order
to fully and accurately represent the reality it is necessary to verify and
update the models based on experimental tests.
Keywords: surface mining, bucket wheel excavator, FEM, experimental
techniques
1. INTRODUCTION
Contemporary designs not only have to meet the
requirements and standards for surface mining
machinery but also should include the results of
frequency tests of free and forced vibrations for
individual elements and sections.
Owing to the rapidly increasing calculating power of
computers it is now possible to solve very complex
numerical problems. However, it is also important not to
overcomplicate the task if it is possible to obtain
sufficiently accurate results using a simpler model. In
order to make such a decision one needs expert
knowledge of the tested machine. It is important to
anticipate the range of potential free vibration
frequencies which can influence the use of the machine,
and to understand where and how simplifications can be
introduced.
The discreet models of steel structures used today
are built using either beam elements or shell elements.
Using beam elements is not overly complicated and
makes it possible to represent the stiffness of the
structure. The drawback of this method is that it does
not take into consideration the joint stiffness of the
superstructure. Most often it is much higher than the
stiffness of the beam itself. Neither of these modeling
methods includes the influence of the type of joints on
the stiffness of the superstructure. In both cases it is
crucial that the mass distribution corresponds to the
distribution in the stability proof or the one based on
machine tests. When analyzing the machine's vibration
it is also important to include stress of elements such as
elastic and steel lines.
The stress level can influence the stiffness change
and thus the frequency of vibrations.
It is possible to update the numerical models so that
they most accurately represent the studied machine.
This is initially done already at the stage of mass
distribution and introduction of load to the elements of
the machine. If there are still large discrepancies with
respect to the values obtained during tests, the updating
of mass and stress should be verified and repeated. Due
to the use of the said simplifications, the updating
process may be complicated. It is also possible to
change the values of physical parameters such as
Young's modulus, stiffness or mass density. Another
approach is updating based on purely mathematical
methods. Mathematical algorithms directly modify the
values of stiffness and mass matrices [1]. Yet such a
change in parameters does not provide any physical
interpretation. By applying the above methods of
updating it is possible to obtain a model which precisely
represents the values measured on the machine.
However, it is important to realize that a model created
in this manner may differ from the real machine with
respect to other parameters and in fact does not provide
an accurate representation of the real structure.
Models built for the purpose of calculating ultimate
and fatigue strength require a more accurate
discretization than those built for the purpose of
numerical modal analysis. Before a model is created it is
important to know what purpose it will serve. Although
beam and shell elements are used, which reduces the
size of the model, the number of nodes often exceeds
300 000. This may be less problematic in the case of
static calculations but hardware and software
requirements for eigenvalues solver algorithms are
much higher.
However, numerical calculations are based on
experimental tests on real machines. It is therefore
necessary to verify the assumptions of numerical
models. Such verification can justify the chosen
calculation method and, most importantly, the boundary
conditions for the model. Only after such validation the
models may be used by experienced users to only
perform numerical analyses in design, to assess the
tension level or to perform modal analysis.
Received: June 2012, Accepted: November 2012
Correspondence to: MSc Damian Pietrusiak
Wroclaw University of Technology,
Lukasiewicza 7/9, 50-371 Wroclaw, Poland
E-mail: damian.pietrusiak@pwr.wroc.pl