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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Geometric Modeling and Optimized Design of an Hydraulic System for Concrete Batching Plant</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Lucia Cocilovo</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Antonio Fichera</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Giuseppe Di Lorenzo</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Electric, Electronics and Computer Engineering, University of Catania</institution>
          ,
          <addr-line>Catania</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Euromecc S.r.l.</institution>
          ,
          <addr-line>Misterbianco, CT</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <fpage>37</fpage>
      <lpage>43</lpage>
      <abstract>
        <p>- The present paper describes the geometric modeling and design and the feasibility study of an innovative hydraulic system that would allows a mobile batching plant to improve the safety, to increase the reliability and to reduce the concrete working process time. In particular, the present paper outlines the dynamic behavior of a telescopic hydraulic cylinder in order to replace the current lift system (skip). Mechanical theory, principles of hydraulics, geometric modelling and design, using cad software, were used in developing the model of the telescopic cylinder. Using the spreadsheet software Excel it was possible to compare dynamic movements of some types of actuators. An approach to a hydraulic batching plant lift systems is presented, where the results are compared with those obtained from the existing skip.</p>
      </abstract>
      <kwd-group>
        <kwd>- Hydraulic cylinder</kwd>
        <kwd>Batching plant</kwd>
        <kwd>3D modeling</kwd>
        <kwd>Reliability</kwd>
        <kwd>Safety</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>I. INTRODUCTION</title>
      <p>In a mobile batching plant, the skip is a type of loading
system that provides the requirement of small dimensions in
the construction site. The skip is a conveyor lift system
operated by ropes. Given the issues related to: the operation of
the lifting device, the reliability of limit switch sensors, the
probability of breaking the ropes and other issues involving
the use of the skip, it was considered essential to investigate
the behaviour of a hydraulic system. Due to the plant’s
requirement of small dimensions in the transport
configuration, suitable for container – transport trucks, the
idea is to replace the skip system with a single-acting
telescopic hydraulic system.</p>
      <p>Fig. 1. Transport configuration of mobile batching plant.</p>
      <p>In this configuration, the skip rails and the main frame are
Copyright held by the author(s).
turned over 180°. The inside height of the open top 40″
container is about 2 m. The minimum closed length of the
telescopic cylinder needs to be of 1 m to suit the container
transport truck dimension. Assuming a rails inclination of 70°
from the horizontal plane, the stroke of the cylinder must be of
7 m to permit the skip to travel from the bottom to the top
along the rails. The table below presents the technical features
of a suitable telescopic cylinder:
Technical features
Load capacity
Operating pressure
Stroke speed
Stroke length
Closed length
Open length
Load capacity (Retraction)
Mounting configuration
Mounting condition: incline angle
Environmental condition
System operating temperature
Values and units
3000 kg
160 [bar]
34 [m/min]
7000 [mm]
1000 [mm]
7000 [mm]
1000 [kg]
Pivot mounts</p>
      <p>70°</p>
      <p>Dusty
-10°C &lt; T &lt; +40°C
II. A BRIEF OVERVIEW OF THE HYDRAULIC SYSTEM
The main elements of the hydraulic system are:
1. 3 phase 4 pole asynchronous electric motor (15
kW) 1450 rpm
2. Internal gear pump (160 bar)
3. Pressure gauge and shut-off valve
4. 4/3- way directional control valve
5. Throttle adjustable valve
6. Pressure relief valve (safety valve)
7. Cooler
8. Exhaust filter
9. Intake filter
10. Oil reservoir tank
11. Pipes
12. Single- acting telescopic cylinder (4 stages)
The schematically circuit of single-acting telescopic cylinder
is shown in figure 3.</p>
      <p>
        A pump, driven by an electrical motor, takes oil from
reservoir and the fluid passes through a filter (
        <xref ref-type="bibr" rid="ref9">9</xref>
        ), before to
enter in the circuit.
      </p>
      <p>
        When the 4/3 control valve (
        <xref ref-type="bibr" rid="ref4">4</xref>
        ) is in its neutral position, the
telescopic cylinder (
        <xref ref-type="bibr" rid="ref11">11</xref>
        ) is hydraulically locked and the pump
(
        <xref ref-type="bibr" rid="ref2">2</xref>
        ) is unloaded back to the tank (
        <xref ref-type="bibr" rid="ref10">10</xref>
        ). Oil filters (
        <xref ref-type="bibr" rid="ref8 ref9">8-9</xref>
        ), situated
in the return line to the tank and before the pump, trap solid
particles while allowing fluid to pass trough [1, 2].
      </p>
      <p>When the 4/3 way valve is actuated, the discharged line is
under pressure because the pump must overcome the force of
load (3000 kg) to be moved [3]. The oil, passing from the 4/3
way valve, feeds the ascent of the cylinder.</p>
      <p>
        When the control valve is moved in the opposite direction,
connecting the chamber of the cylinder with the tank, oil is
forced to pass by the throttle valve (
        <xref ref-type="bibr" rid="ref5">5</xref>
        ), that it regulates the
speed of descent. The telescopic cylinder returns to its initial
retracted configuration, thanks to the gravity, because the
hopper discharges the inert into the mixer and it remains only
the empty hopper of 1000 kg of weight.
      </p>
      <p>
        The pressure relief valve(
        <xref ref-type="bibr" rid="ref6">6</xref>
        ) is placed immediately after the
pump. The spring is adjusted to the maximum working
pressure, in such a way that in case of overpressures, the fluid
is discharged into the reservoir tank.
      </p>
      <p>One of the most important components of the hydraulic
drive system is the telescopic hydraulic cylinder, that is an
actuator which gets its power from pressurized hydraulic fluid
(oil, in this case) and it is used to convert fluid power in
mechanical motion. A single-acting cylinder transfers a
hydraulic force in one direction only and it must be retracted
by gravity (in this specific case).</p>
      <p>III. THE TELESCOPIC HYDRAULIC CYLINDER</p>
      <p>Telescopic cylinder is a special design of hydraulic
cylinder which provide an exceptionally long output travel
from a very compact retracted length. It consists of nested
multiple cylinders called sleeves, which slide inside each
other.</p>
      <p>A telescopic cylinder is used when a long stroke length
and short retracted length are required.</p>
      <p>It normally extends from the largest stage to the smallest.</p>
      <p>This means the largest stage, with all the smaller stages
nested inside it, will move first and complete its stroke before
that the next stage begins to move. This procedure will
continue for each stage until the smallest diameter stage
(plunger) will be fully extended. Conversely, when retracting,
the smallest-diameter stage will retract fully before the next
stage starts to move. This continues until all stages are nested
back in the main. During the initial extension, the cylinder
extends at the slowest speed and with most force. A smaller
diameter stage will extend next, the cylinder extends faster
with less force.</p>
      <p>The cylinder load capacity is calculated considering the
smallest sleeve diameter in the assembly.</p>
      <p>Gravity return type single-acting cylinder is where the
cylinder extends to lift a weight [4] against the force of gravity
by applying oil pressure at the blank end. To retract the
cylinder, the pressure is simply removed from the piston by
connecting the pressure port to the tank.</p>
      <p>IV. NUMERICAL MODEL OF HYDRAULIC CYLINDER
The continuity equation about oil, which after introduction
into the cylinder end runs down the opposite site, can be so
formulated [5]:</p>
      <p>With:
- ,
- ,
,
,
- i=1, 2, ..., 10 stages
useful thrust surfaces in the cylinder [m2]
opening and closing speed of the extensions
volume of fluid entering / leaving the cylinder [m3]
pressures in the cylinder inlet / outlet chamber [Pa]
- Compressing equivalent modulus (thus considering
the fluid, the air contained in it, etc)</p>
      <p>
        Supposing that the oil mass in the hydraulic cylinder can
be omitted and act as a rigid body, Newton's second law of
motion finds out that:
With:
- a acceleration of the extensions
- x extension direction
- B coefficiente di smorzamento viscoso [Ns/m]
coulomb friction force [N]
external force [N]
- m equivalent mass of moving parts [kg]
force that includes all the resistive forces [N]
5
stages
1528
7073
200
5620
30
80
88
190
253
(
        <xref ref-type="bibr" rid="ref1">1</xref>
        )
(
        <xref ref-type="bibr" rid="ref2">2</xref>
        )
      </p>
      <p>
        From the above-mentioned equations it appears clear that
the parameters of the simplified model refer to the properties
of rigid body, kinematic and geometric data; moreover, many
of these parameters are changing in time. A consequent
difficulty in obtaining an accurate valuation derives; the
valuation of the single force component identified by the eq
(
        <xref ref-type="bibr" rid="ref2">2</xref>
        ) was not possible as during the experimental tests the
displacement signal was not recorded. However, it was
looking for identifying the static component of the resistance
forces by referring to the time intervals where the signals in
pressure were constant or slowly changed. As these intervals
concerns, a regression of the external force signal was
fulfilled as experimentally measured with respect to theoretic
signal which was calculated by considering the pressures in
the chambers of the cylinder ( ), using different
models.
      </p>
    </sec>
    <sec id="sec-2">
      <title>I Modello:</title>
    </sec>
    <sec id="sec-3">
      <title>II Modello:</title>
      <p>
        ; da cui:
; da cui:
;
(
        <xref ref-type="bibr" rid="ref3">3</xref>
        )
(
        <xref ref-type="bibr" rid="ref4">4</xref>
        )
      </p>
      <p>The first model assumes the presence of a resistance force
as costant and indipendent from the force levels exerted by the
cylinder.</p>
      <p>The second model assumes instead that the resistance
forces are proportional to the applied force.</p>
      <p>The dynamic behaviour of the system was simulated
assuming the theoretic force as input variable and the force
exerted by the cylinder , experimentally measured, as signal
in output. The same problem of a missing recording of the
displacement signal occured again. Therefore the choice to
realize an empiric model trying to minimize the number of
freedom degrees was taken. After repeated numerical
simulations,it was noticed that a model with a unique pole and
zero was the most effective: only with three degrees of
freedom (the static benefit and the position of the pole and
zero), it is indeed able to interpolate effectively the
experimental data, always provided an index of correlation r2
superior to 0.85 Analysis of telescopic cylinder dynamic
movements</p>
      <p>By comparing cylinder features it was selected the
10stages cylinder to examine in depth its dynamic movements.</p>
      <p>An Excel table was created to find relationships between
different variables related to cylinder movements. It was used
to calculate each stage velocities and then the results were
analyzed creating different graphs.</p>
      <p>The extension speed shows a slowly increasing trend as a
function of the extension time, while, when the cylinder
extends to the last stage (the plunger- Ø minimum stage), it
reaches the highest speed.</p>
      <p>It was possible to create a chart from the worksheet data to
show the telescopic cylinder performance.</p>
      <p>From the analysis of the above performance chart the
research was focused on finding a more linear extension of the
cylinder, reducing the difference between the initial and the
final extension speed.</p>
      <p>The figure 7 was analyzed the space-time chart trend of the
ropes lifting system (skip). The next step was to find a
cylinder with a similar space-time chart.</p>
      <p>Using SolidWorks ver. 2016, it was created a 3D design of
the 10-stages telescopic cylinder, in order to analyze
movements and to check its dimensions such as retracted
length, stroke, etc. The design started by modeling every
single part, then the final 3D assembly model was created.</p>
      <p>In Fig. 8 you can see cut view and front view of 10 stage
cylinder. Fig. 9 show axonometric view of 10 stage cylinder in
maximum extension.</p>
      <p>The 3D ball joint model is created using technical design
and data from a company that produces hydraulic cylinders
and components. We have chosen this type of interface to
reduce the problem of misalignment and transversal force that
they can reduce the lifting force and increase the friction
coefficient t [6 - 9].</p>
      <p>(a)</p>
      <p>Using Excel a new space-time chart was obtained
considering a cylinder with a fewer number of stages.</p>
      <p>N° of
stages
1
2
3
4
Total
1
2
3
4</p>
      <p>Sleeve Cross
section area
[mm²]
8992
12469
16513
21383
Numbers of stages</p>
      <p>From the space-time chart it was possible to analyze the
theoretical performance of this 4-stages telescopic cylinder.
Then it was made a comparison graph between the skip and
the cylinder space-time charts.</p>
      <p>It was created a design of a 4-stages telescopic cylinder
take into account the effect of friction and functional
Tolerancing [10, 11]. It was found that the latter space-time
cylinder chart is more similar to the linear skip’s chart.
Fig. 13. (a) Detail of the top; (b) Detail of a cut view of the top;
(c) 4-stages telescopic cylinder - fully extended.</p>
      <p>In order to find the perfect cylinder features to realize a
space-time trend chart as linear as possible, it was chosen a
plunger’s diameter of 107 mm, that can lift up to 3000 kg.</p>
      <p>Using Excel it was created a comparison space-time chart
between two different trends: 4 and 10 stages cylinders. The
next figure shows a comparison chart between the skip and the
other two types of cylinders trends.</p>
      <p>By comparing the above charts is possible to observe that
dynamic motions of 4-stages cylinder are better than a
10stages type because the former has a less accentuated speed
trend, the line has a reduced slope, and the trend chart is more
similar to the skip’s chart. For the above reasons the 4-stages
cylinder was selected to be fitted in the hydraulic system while
the 10-stage configuration was rejected.</p>
    </sec>
    <sec id="sec-4">
      <title>V. HYDRAULIC DRIVE SYSTEM LAYOUT</title>
      <p>A hydraulic drive system is a drive or transmission system
that uses pressurized hydraulic fluid to power hydraulic
machinery. A hydraulic drive system consists of three parts:
•
•</p>
      <p>Power supply section: a hydraulic pump driven by an
electric motor;
Power control section : valves, filters, piping, etc
using to guide and control the system;
• Drive section : a hydraulic actuator using to drive the
machinery.</p>
      <p>
        This system is used where the telescopic cylinder piston is
returned by the gravity force. With the 4/3-way directional
control valve in neutral position (
        <xref ref-type="bibr" rid="ref5">5</xref>
        ), pump flow passes though
the valve and back to the storage/fluid tank (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) also known as
reservoir. The liquid, is generally high density incompressible
oil. It is filtered to remove dust or any other unwanted
particles and then pumped by the hydraulic pump.
      </p>
      <p>The oil filtration unit is also often contained in the power
supply section. Impurities can be introduced into the system as
a result of mechanical wear, too hot or too cold oil or external
environmental influences. For this reason, filters are installed
in the hydraulic circuit to remove dirt particles from the
hydraulic fluid. Water and gases in the oil are also disruptive
factors and special measures must be taken to remove them.
Valves are devices for controlling the energy flow.</p>
      <p>They can control and regulate the flow direction of the
hydraulic fluid, the pressure, the flow rate and, consequently,
the flow velocity.</p>
      <p>With the 4-stages telescopic cylinder, it is possible to have
lower speed at the end of the stroke with a minimum stage
diameter (d) of 107 mm. The piston surface is:</p>
      <p>The cylinder total load capacity is 3000 kg. However to
increase the plant safety an higher weight is considered to
select the correct pump. Considering a safety weight of 4000
kg the max operating pressure is:</p>
      <p>Due to the possible oil leakages and other leaks in the
system, system operating pressure is increased up to the safety
value of 60 bar. The stroke time of the telescopic cylinder is
given by the stroke of the cylinder per the cylinder speed (t=
34 m/min):</p>
    </sec>
    <sec id="sec-5">
      <title>The flow rate is:</title>
      <p>Q = 504,53 [l/min].</p>
      <p>
        If the pump couples with an asynchronous 4 pole
threephase self-braking electric motor operating at 1450 rpm, the
capacity of the pumps is:
(
        <xref ref-type="bibr" rid="ref5">5</xref>
        )
(
        <xref ref-type="bibr" rid="ref6">6</xref>
        )
(
        <xref ref-type="bibr" rid="ref7">7</xref>
        )
(
        <xref ref-type="bibr" rid="ref8">8</xref>
        )
(
        <xref ref-type="bibr" rid="ref9">9</xref>
        )
      </p>
      <p>The choice of the pump is approached by researching
Companies producing internal hydraulic gear pump, which is
the best option to be fitted in the hydraulic system.</p>
    </sec>
    <sec id="sec-6">
      <title>VI. CONCLUSIONS</title>
      <p>In the paper was described geometric optimized design of
an hydraulic system that would allows a mobile batching plant
to improve the safety, to increase the reliability and to reduce
the concrete working process time. In particular, the present
paper outlines the dynamic behavior of a telescopic hydraulic
cylinder in order to replace the current lift system (skip).</p>
      <p>Due to troubleshooting and maintenance issues regarding
the hydraulic system and difficulties in controlling the
cylinder’s retraction speed, a double acting cylinder could be
an option to solve technical problems. However, even with the
application of this device, there is a need of continue
maintenance program to make the cylinder operable and safe
for a long period of time without dangerous sudden failure
[12], in particular way for sealing gaskets, subjected to sliding
contact force, infact is extremely important to maintance the
optimal operating tolerance standard [13], and contact with the
metal surface of the extensions and therefore the seal [14].</p>
      <p>Possible future developments for the present work could
be oriented in researching new applications of telescopic
hydraulic systems to be applied in other concrete plants with
different technical requirements.</p>
    </sec>
  </body>
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