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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>ITNT-2015), CEUR Workshop Proceedings</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.18287/1613-0073-2015-1490-112-121</article-id>
      <title-group>
        <article-title>Vibration resistance of headlight design for electric locomotive</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Abulkhanov S.R.</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Samara State Aerospace University</institution>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2015</year>
      </pub-date>
      <volume>1490</volume>
      <fpage>112</fpage>
      <lpage>121</lpage>
      <abstract>
        <p>I determined the natural frequencies of the headlight design for electric locomotive VL by software system of the finite-element analysis ANSYS. The obtained values of the natural frequencies are compared with the frequencies of the periodic vibrations experienced by the railway rolling stock. The analysis reveals the vibration frequencies determining the period of the trouble-free operation of the headlight.</p>
      </abstract>
      <kwd-group>
        <kwd>headlight</kwd>
        <kwd>electric locomotive</kwd>
        <kwd>natural frequencies of design</kwd>
        <kwd>trouble-free service life</kwd>
        <kwd>periodic vibration</kwd>
        <kwd>noise and re-emitted noise</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        The main sources of vibration for driving railway locomotive are just a vehicle,
wheels, rails and railway track. According to the Resolutions of 15.07.2011, N 710
"On the adoption of the technical regulations of the Customs Union" ("On the safety
of the railway rolling stock", "On the safety of the high-speed railway transport", and
"On the safety of the railway infrastructure") [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], the range of vibration frequency
causing the damage to structures (buildings) is from 1 to 500 Hz, and the greatest
damage to structures is at the low-frequency vibrations (the frequencies from 1 to
150 Hz).
      </p>
      <p>A railway locomotive undergoes periodic and random vibrations. The reasons of
the excitation of the periodic vibrations are the deflection of the rail track moving
along with the movement of the train and the support system; the discrete structure of
the rail support (the distance between the axes of sleepers); the discreteness of the
effect on the object due to the distance between the axes of wheel pairs and bogies;
the breaks of the rail track (at the diverters, at the blind crossings of the railway track,
at the junctions of the rails, and so on.
3
Fig. 1. – The causes of the excitation of periodic vibrations of a railway locomotive: 1 is the
distance between the support elements of the railway track; 2 is the distance between the wheel
pairs of the bogie; 3 is the distance between the adjacent bogies of adjacent railway cars; 4 is
the distance between the bogies of a railway car; 5 is the distance between railway cars</p>
      <p>The random vibrations are the noise emitted by the rattling objects (panes, lamps,
conjugations of a shaft-hole with the loose fit and so on). The vibration is transmitted,
being changed through the rail tracks on their support and further into the ground, the
frame and the body of a locomotive, the surface roughness of a wheel rim and when
riding the rail, causing at the same time the re-radiated noise. The re-radiated noise of
the object of the exposure is observed in the frequency range from about 16 to 250 Hz
in accordance with the Resolution. The description of the noises is quantitatively
associated with certain difficulties, so they will not be considered.</p>
      <p>When analyzing the vibration and the noise, it should be considered that the
vibration sources, their pathways of the propagation and the objects of their effect
depend on many factors, namely, according to the Resolution: the geometry of the rail
track, the characteristics of the rolling stock (its length, a wheel profile, a wheel
diameter, the roughness and surface defects when riding a wheel, the system of the
wheel suspension, wheels with elastic elements and etc.), the characteristics of rails,
elements of the rail track, and others. The vibration source, the pathway of the
vibration propagation and the object of the effect are shown schematically in Fig. 2.
1. The definition of the boundaries of the range of possible fluctuations of a
railway locomotive</p>
      <p>The frequency of the periodic vibrations depends on the speed of a railway
locomotive. Table 1 summarizes the possible oscillation frequencies depending on the
speed of the movement (VM) applied to an electric locomotive VL series. The
phenomena of interference, the vibration diffraction are not taken into account, i.e. the
locomotive is considered as one rigid body.</p>
      <p>A locomotive, ahead of the next train, experiences the vibrations generated not only
by the train and by the railroad track, but the vibrations generated by the bogies of the
driven railway cars. The vibration oscillation of each railway car is transmitted by the
rails as through the waveguides with the velocity of the sound in metals
(22000 km/h). The vibration oscillation caused by the deflection of the rails in the
intervals between the sleepers, results in the formation of a surface (Rayleigh) wave
on the ground surface. These waves formed by the railway cars of the rolling stock,
provided the hard ground, can catch up and overtake a locomotive, that in turn can
result in the change of the oscillation spectrum of the rolling stock as well as of the
locomotive. If the high-speed train moves along the rail track, provided the soft
ground, then, the velocity of its movement can exceed the speed of the propagation of
a surface (Rayleigh) wave in the ground. This creates a high level of vibration, just as
the flight of a supersonic aircraft is accompanied by the sonic boom (based on the
Solution).</p>
      <p>Thus, the vibrations of the entire rolling stock participate in the formation of the
oscillation spectrum of the locomotive vibrations. The range of the locomotive
Name of parameters of
railway track and
suspension of an electric
locomotive
Distance between support
elements of the track, m
Distance between wheel
pairs of the bogie, m
Distance between adjacent
bogies of adjacent railway
cars, m
Distance between bogies of
a railway car, m
Distance between railway
cars, m
Length of rails, m</p>
      <p>
        Geometric dimensions
and sources of
information
0,501 -0,632
(GOST R 51248-99;
GOST 78-2004;
GOST 9238-83;
GOST 10629-88, [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ])
1,85 [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]
1,35 [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]
5,72 electric
locomotive VL8 [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]
vibration spectrum in this case can only change as a result of the dispersion of various
vibration sources formed by railway cars of the rolling stock. In the paper we assume
that there is no dispersion of the oscillation vibration.
2. The light requirements to a searchlight of a railway locomotive
      </p>
      <p>A headlight of an electric locomotive VL series must meet certain requirements. A
lamp should be installed along the longitudinal axis of the symmetry of a locomotive.
The axial beam of the headlight should be directed parallel to the horizontal plane of
the road. The nominal axial intensity of the lamp should be (6.4-9.6)∙105 cd. The
closed circuit of the lamp must provide the possibility of powering up the bright light,
providing the nominal axial force of the light and the dim light, providing the power
of the light within (0.7-1.2)∙105 cd in accordance with GOST 12.2.056-81.</p>
      <p>
        The test method for measuring the axial light intensity of the headlight is to
determine the light intensity by measuring the light with simultaneous measuring the
voltage of the light source in accordance with the regulations of 2000, agreed by the
contact group 28/01/2010 V1.00, about the preservation of technical and
interoperability of the rail system of the rail road of 1520 mm and 1435 mm at the
border of the CIS and the EU, as well as in accordance with [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. The measurement of
the light intensity of the headlight is carried out when a photodetector is located along
the axis of the pathway from the light at the distance that is greater than the distance
of the formation of the light flow of the lamp. For the headlight used currently on the
rolling stock, the distance of forming the light flow is not less than 20 m in
accordance with the paragraph A.19.1 GOST 12.2.056-81, and also in accordance
with [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        To achieve the nominal axial force of the light of the headlight and to achieve the
angles of ray scattering [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] in the vertical and horizontal planes ~ 3 °, it is necessary to
focus the headlight in accordance with Annex 1 of the Rules of the technical operation of
railways of RF. The light spot having the axial strength of 6.4-9.6 • 10 cd is formed on a
flat screen perpendicular to the horizon by the headlight spaced apart from the screen at
10 m. The required orientation of the light spot on the screen is provided by the design of
the headlight [
        <xref ref-type="bibr" rid="ref4 ref5 ref6 ref7">4 – 7</xref>
        ]. The operating experience of the headlight shows that the lamp SL
(TU 16-87 IMFR 675000,003 W) 500 W and 50 V burns most frequently, and also a glass
reflector with a diameter of 370 mm breaks, when installed behind the lamp SL. These
failures could be caused by the vibration oscillations.
3. The conditions for the determination of the natural frequencies of a solid
model of the design of the searchlight of a locomotive
      </p>
      <p>
        To determine the natural frequencies of a headlight in the software environment
ANSYS the 3D model is used that is obtained in [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. In the solid model the screw
connections (screws and bolts have been removed from the model) are not taken into
account due to the lack of the computing power. The parameters of the finite element
mesh on the surface of a solid model are selected automatically by the program
(Fig. 3).
The requirements for modeling are defined by the rules of the computational
experiments in the optics [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13 ref14 ref15 ref16 ref17 ref9">9 – 17</xref>
        ]. The conducted simulation shows that in the
frequency range of the periodic vibrations (Table. 1), we have the greatest
deformations of the glass reflector for the natural frequencies of 22.368 and 62.595
46.49 Hz. The oscillation frequency f = 46.49 Hz may correspond to the vibrations
caused by the length of the rails (25 m), the distance between the wheel pairs of a
bogie and the distance between the support elements of the railroad (slippers). At the
frequency f = 95.998 Hz occurs the deformation of a glass bulb of the lamp SL, and
there is no deformation of the glass reflector of the headlight.
a) b)
      </p>
      <p>For the frequencies above the maximum frequency of the periodic vibrations
(f = 110.9 Hz Tab. 1), the maximum deformations are at the end of the glass bulb of
the lamp SL. A glass reflector in this case is deformed slightly (Fig. 4).</p>
    </sec>
    <sec id="sec-2">
      <title>4. Conclusions</title>
      <p>
        1. The destruction of a glass reflector is in the range of the frequencies of the
vibration oscillation [22.368 – 62.595] Hz.
2. The destruction of a glass lamp SL is at the frequencies greater than 95.998 Hz.
3. The increase in the resource of the lamp SL can be achieved by changing the
design of a headlight, namely by using the high-frequency dampers.
4. The substantial increase in the resource of a headlight can also be achieved by
replacing an incandescent lamp by the high power light emitting diodes (LEDs) using
new methods and the necessary software for designing such a lighting device [
        <xref ref-type="bibr" rid="ref18 ref19 ref20 ref21 ref22 ref23 ref24">18 –
24</xref>
        ].
5. The presented results play an important role in the design [
        <xref ref-type="bibr" rid="ref25 ref26 ref27 ref28">25 – 28</xref>
        ] of hyperspectral
remote sensing equipment feeling strong vibrations loads in the derivation of Earth's
orbit. Also, these results will be useful for creating transport systems of computer
vision [
        <xref ref-type="bibr" rid="ref29 ref30 ref31 ref32">29 – 32</xref>
        ], optical devices [
        <xref ref-type="bibr" rid="ref33 ref34 ref35 ref36">33 – 36</xref>
        ], components, and devices of diffractive
nanophotonics [
        <xref ref-type="bibr" rid="ref37 ref38 ref39 ref40 ref41 ref42 ref43 ref44">37 – 44</xref>
        ].
      </p>
    </sec>
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