File:Type91 AerialTorpedo Vectors of MotionEqs.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file ‎(SVG file, nominally 850 × 638 pixels, file size: 58 KB)

Captions

Captions

Add a one-line explanation of what this file represents

Summary[edit]

Description
English: Type91 Aerial Torpedo Vectors of Motion Equations.
This drowing was for the set of aerial torpedo motion equations in the air, once taught in the class of Rear Admiral Shoji Naruse, who was the chief designer of Type 91 aerial torpedo, since late 1930s till 1945. The equations and parameters are shown as followings.
The torpedo motion equation is the set of simultaneous ordinary differential equations, which is to model pitch motion of airborne aerial torpedo as follows. Clear mistake errors in equations have been corrected, which the original private book Koku Gyorai Note had in typescript symbol letters in privately printed edition service.
Eq.1: falling velocity of the torpedo equation
Eq.2: horizontal vector velocity of the torpedo mass equation
Eq.3: vertical vector velocity of the torpedo equation
Eq.4: vertical vector acceleration of the torpedo mass equation
Eq.5: angular velocity equation with respect to time
Eq.6: angular velocity differential equation with respect to time
where constant 57.3 of Eq.6 is the coefficient from 1 (radian) = 57.2958 °
b V ω of Eq.6 is the damping moment, where b is defined as;
Since the angular moment of a torpedo here is the lifting movement as follows;
V : the velocity of the torpedo
VH : the horizontal axis velocity of the torpedo
VZ : the vertical axis velocity of the torpedo
φ : the moving vector angle of the torpedo in reference to horizontal axis
θ : the posture angle of the torpedo in reference to the horizontal axis
α : the internal angle between φ and θ, which is equal to the lift angle of tail fins of the torpedo
G : the gravity center of the torpedo
W : weight of the torpedo
g : acceleration of gravity, 9.8 m/sec2
I : inertia coefficient with respect to lift moment at the gravity center of the torpedo
ω : lifting angular velocity
D : drag moment of force
L : lift moment of force
M : roll moment of force around the longitudial axis of the torpedo
ρ : air density
S : cross-section area of the torpedo
l : total length of the torpedo
lH : the length between the gravity center and the center of lift moment of tail fins of the torpedo
ωlH : the angular velocity at the center of lift force of tail fins of the torpedo
The value lH is measured in wind-tunnel test,
as drag moment of force coefficient differences between the torpedoes with and without box type attachment of wooden tail stabilizer plates;
where each coefficient is defined as;
CnH = CXH sin α + CZH cos α
CtH = CXH cos α + CZH sin α
CX : drag moment of force coefficient D / (1/2 ρ V2 S )
CZ : lift moment of force coefficient L / (1/2 ρ V2 S)
Cmg : roll moment of force coefficient around the gravity center of the torpedo M / (1/2 ρ V2 l )
CXH : drag moment of force coefficient of tail stabilizer box of torpedo
CZH : lift moment of force coefficient of tail stabilizer box of torpedo
CmgH : roll moment of force coefficient around the gravity center of tail stabilizer box of the torpedo
for further details, see Type 91 torpedo or Koku Gyorai Note
Date
Source Own work by uploader, and converted my PNG file to SVG file
Author Shun Zero

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current14:47, 9 May 2009Thumbnail for version as of 14:47, 9 May 2009850 × 638 (58 KB)Shun Zero (talk | contribs){{Information |Description={{en|1=Type91 Aerial Torpedo Vectors of Motion Equations. :This drowing was for the set of aerial torpedo motion equations in the air, once taught in the class of Rear Admiral Shoji Naruse, who was the chief designer of Type 91

You cannot overwrite this file.

The following page uses this file:

File usage on other wikis

The following other wikis use this file:

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Type91_AerialTorpedo_Vectors_of_MotionEqs.svg&oldid=532513570"