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The Institute of Space and Astronautical Science Report
Dynamical Characteristics of Planetary Penetrator:
Effect of Incidence Angle and Attack Angle at Impact
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3. 1. NOSE SHAPE EFFECT In this section, we select only the data of the zero attack-angle from Table 1 in order to see the effect of the nose shape on penetrator dynamics. Figures 8a and 8b show the penetration path-length of three kinds of the cone-nose penetrators with respect to the impact velocity. Although the mass of the models is known to affect the penetration path-1ength, we neglect its effect here because of small variation of the mass in the present experiments. Figures 8a and 8b indicate that the penetration path length increases with the impact velocity, though its effect in the case of the oblique impact (Figure 8b) is less obvious. We do not know at present why the effect of impact velocity on the path-1ength is so weak in the case of oblique impacts. Figures 8a and 8b also show that the penetration path-1ength is not significantly affected by of the cone-nose both for normal and oblique impact. Considering the cross-sectional area of nose-tip for the = 0.3 being three times as large as that for = 0.1, this result is rather remarkable. The weak dependence of on the penetration path-length may indicate that the streamlines of the target soil around the penetrator are not affected by the truncation of the cone-tip of the penetrator. A relevant observation on this fact is that we always find a hard conic soil in front of the truncated nose of the penetrator when we recover the penetrator after the experiment.
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Fig.8 variation of the penetration path length for cone-nose penetrators with impact velocity:(a)normal impact;(b)oblique impact of 50± 3° . |
Comparison of Figures 8a with 8b shows the effect of impact
angle on the penetration path-length. Figure 8b includes the data of impact
angles of
= 50±3°. As for the cone-nose penetrators, no significant
difference in path length can be seen between normal and oblique impacts;
in both cases, the penetration path lengths are ~40 cm at v = 100 m/sec
and ~60 cm at v = 1 50 m/sec.
Figures 9a and 9b show the penetration path length of
three kinds of the ogive-nose penetrators with respect to the impact velocity.
It indicates that the penetration path-length increases with the impact
velocity. The dependence of the path-length on the impact velocity is
less clear in the case of the normal impact (Figure 9a). This is probably
due to the limitation of depth of the sand target. In the present experiments,
we used the sand target to a depth of about 70 cm. Although the target
sand was made as homogeneous as possible in terms of the hardness, the
bottom layer might have been very hard because of the weight of overlying
sand and compaction by vibration of the rotation wheel. This inference
is also confirmed by the measurement of hardness distribution in the target.
As shown in Figure 4, the cone penetrometer data indicates the existence
of hard layer as a sudden increase of resistant force at the depth of
55 cm to 65 cm. Therefore the hard layer at the bottom of the target box
may have prevented the projectile from penetrating much deeper and it
will explain that the path-length in the case of the normal impact at
a high-velocity range seems to be saturated at a depth of ~65 cm |
Fig.9 variation of the penetration path length for cone-nose penetrators with impact velocity:(a)normal impact;(b)oblique impact of 50± 3° . |
Comparing Figure 8 with Figure 9, it is clear that the ogive-nose penetrators penetrate 1.3to 1.5 times deeper than the cone-nose ones under the same velocity range. We think that the streamlined nose shape provides a more gradual deceleration than the conic nose and the ogive-nose penetrators penetrate deeper into the target material. As is mentioned earlier, the course of the penetrator
movement in the target sand deviates from a straight line and the attitude
of the penetrator at the rest position differs from the original one.
In Figures 10a and 10b, we show the histogram of the degree of inflection
in terms of defmed
in equation (5). The data in Figure 10 include the data on the cone-nose
and the ogive nose. We did not observe any significant effects of the
nose shape on this inflection angle, though we observed a truncated-nose
penetrator shows smaller inflection than that with non-truncated cone-nose
penetrators [8] . The data for the oblique impact evidently have a peak
between 5° and 10° , while the data for
normal incidence are distributed around zero. This slight difference may
reflect the effect of a torque applied on the nose tip just after initial
contact at the oblique impact. But the absolute values of inflection angle
are almost within 10° for both normal incidence and oblique
impact. This suggests that the oblique impact does not have a significant
effect on penetration trajectory. |
Fig.10 Histogram distributions of inflection angle with zero attack impact: (a) nomal incidece;(b)oblique impact of 50± 3° . |
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