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Our
evaluation approach to conveyors is a little different
from most. We identify belt conveyors as complex systems
and approach our analysis from a classical system-engineering
viewpoint. In short, this means we try to look at a
conveyor as a system first, which performs a specific
function rather than a compilation of components. This
may not sound like a big difference, but the process
can produce different results.
Probably
the biggest difference in the process is the use of
dynamic analysis techniques. CEMA design methodologies
are the standard in the USA and many other countries
and many engineers use CEMA exclusively. However, CEMA
calculations for acceleration and deceleration treat
the system as a rigid body. CEMA realizes the potential
problem with this approach in a statement on page 140
of the 5th Edition of BELT CONVEYORS FOR BULK MATERIALS.
“No further attempt will be made to justify the
[rigid body] assumption. However, the belt conveyor
designer should be aware that, for conveyor systems
with very long center belts, stretch considerations
should not be overlooked”. However there is no
methodology given which considers belt stretch considerations.
When long conveyors are designed with these static models
only, potential troubles exist.
The specific attributes of and relationships between
the drives, control software, belt and take-up device
are definitely not static in nature. As system engineers,
we attempt to define these relationships as well as
the performance characteristics of the components. We
build mass and stiffness matrices, apply the appropriate
boundary conditions and solve simultaneously with a
time-based finite element methodology. Although this
methodology was first published over 20 years ago, it
has not been used widely due to the complexity of the
analysis. However, recent advances in computer technology
have advanced its use. Today, this technology has proven
to be much more effective in simulating actual conveyor
characteristics during the most critical operating conditions
of starting and stopping.
To
get more specific, we usually break our work into two
parts.
Part
1- Static Analysis
Static
analysis is still much easier and quicker to perform
and still plays an important role in our overall work.
During this phase, we can quickly review many conditions
that might exist including changes in load, changes
in power requirements and changes in friction.
This
process is normally referred to as top-down. We first
evaluate the overall system and gradually break it down
into sub-systems until we get to logical components.
An excellent example of this is the operation of the
take-up device. A hydraulic take-up is an extremely
important sub-system of the conveyor with a specific
function. However, it is also a system in itself, which
can be further broken down into its own components.
This device can be quite complex in its own right and
static analysis can help us bracket performance requirements.
By varying individual parameters one at a time, we can
eventually bracket the performance requirements of each
component. By comparing requirements with actual capabilities,
most problems usually come to light.
In
many cases, a good belt engineer who has experience
with dynamic problems and solutions can identify these
potential problems based on past experience without
having to actually perform the more complex and time
consuming procedures. By identifying these problematic
conditions, we evaluate the risks and produce reasonable
alternatives prior to the dynamic phase. We consider
this a very important step as alternatives can then
be reviewed with the client to determine which are feasible
and which are not. By the time we move to the dynamic
phase, we hope to have the potential solutions narrowed
down to one or two of the best alternatives. It is impractical
for us to make these decisions without the input of
the client.
Part
2- Dynamic Analysis
As
opposed to the prior top-down analysis, this phase can
be considered bottom-up. We define the characteristics
of each component and then each sub-system with symbolic
mathematical representations. In other words, we put
the system back together from its parts. The term “dynamic
analysis” is no more than the summation of all
these mathematical pieces tied together in a working
simulation of the system. This simulation is the most
important tool of the systems engineer. With this functioning
simulator which includes the flexible belt that interconnects
all, we can easily change external conditions (i.e.
material loads) and determine the expected results (system
response). Once the simulator is built, we can also
make changes to control logic and optimize control parameters.
On a long belt conveyor, this evaluation and optimization
process may not be possible by any other means (including
on the actual conveyor) as it is very difficult to accurately
evaluate the interaction of drives and components which
may be thousands of feet apart.
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