ÓÄÊ
629.07.54
O.A. Asaftei
National Technical
University of Ukraine " Igor Sikorsky Kyiv Polytechnic Institute"
Approximate design scheme OF A ROCKET STARTING
FROM THE PIT. ROCKET connected to compartment BY elastic connection and damper
Consider
the effect of underwater explosions on missiles that are in mine compartments by
apparatus. Class launch vehicle in this case does not affect the merits study.
Differential
equations of launch vehicle case motion be written as
(1)
where 
.
This
equation is solved using the Laplace transform relative to variable 
for the following
initial conditions:
Then, we have
(2)
Taking
into account that
we have:
(3)
Thus, the operator
form of equation (1) is
. (4)
Simple
transformations give:
(5)
The denominator of
the first product in brackets is written differently:
. (6)
There are two cases [1].
1)
Let:
Then, expression (5)
takes the form:
(7)
Given the
known relationships
particular solution
of equation (1) can be written as follows –
(8)
2)
Let:
Then, expression (5)
becomes a
(9)
Using the
known value of inverse Laplace transform
particular solution
of equation (5) for the given mode of character connection between compartment and
launch vehicle housing of underwater vehicle is written as:
(10)
References:
1. Mel’nick,
V. The emergence of resonance within acoustic fields of the float gyroscope
suspension [Òåêñò]/ V. Mel’nick, V. Karachun // EasternEuropean Journal of
Enterprise Technologies. ISSN: 17293774. Volume: 1. Issue: 7. Pages: 39-44.
Year: 2016-01-01. EID: 2-s2.0-84960858488. Scopus ID: 84960858488. DOI:
10.15587/1729-4061.2016.59892