On the motion of a rigid body with an internal moving point mass on a horizontal plane

2018 ◽  
Author(s):  
B. S. Bardin ◽  
A. S. Panev
Keyword(s):  
Rigid Body ◽  
Horizontal Plane ◽  
Point Mass

117 Vibration Analysis of Wire with Point Mass and Rigid Body

2009 ◽  
Vol 2009.48 (0) ◽  
pp. 33-34
Author(s):  
Koichi IMAOKA ◽  
Yukinori KOBAYASHI ◽  
Takanori EMARU ◽  
Yohei HOSHINO
Keyword(s):  
Rigid Body ◽  
Vibration Analysis ◽  
Point Mass

The motion of a point in a rigid body on a horizontal plane

1988 ◽  
Vol 26 (9) ◽  
pp. 575-576
Author(s):  
Duan Jihui ◽  
Charles T. P. Wang
Keyword(s):  
Rigid Body ◽  
Horizontal Plane

scholarly journals Explicit “ballistic M-model”: a refinement of the implicit “modified point mass trajectory model”

2016 ◽  
Vol 64 (1) ◽  
pp. 81-89 ◽  
Author(s):  
L. Baranowski ◽  
B. Gadomski ◽  
P. Majewski ◽  
J. Szymonik
Keyword(s):  
Differential Equation ◽  
Rigid Body ◽  
Control Systems ◽  
Point Mass ◽  
Fire Control ◽  
Trajectory Model ◽  
Resisting Medium ◽  
In Fire

Abstract Various models of a projectile in a resisting medium are used. Some are very simple, like the “point mass trajectory model”, others, like the “rigid body trajectory model”, are complex and hard to use, especially in Fire Control Systems due to the fact of numeric complexity and an excess of less important corrections. There exist intermediate ones - e.g. the “modified point mass trajectory model”, which unfortunately is given by an implicitly defined differential equation as Sec. 1 discusses. The main objective of this paper is to present a way to reformulate the model obtaining an easy to solve explicit system having a reasonable complexity yet not being parameter-overloaded. The final form of the M-model, after being carefully derived in Sec. 2, is presented in Subsec. 2.5.

A Coordinate Frame Useful for Rigid-Body Displacement Metrics

2010 ◽  
Vol 2 (4) ◽  
Author(s):  
Venkatesh Venkataramanujam ◽  
Pierre M. Larochelle
Keyword(s):  
Rigid Body ◽  
Point Mass ◽  
Coordinate Frame ◽  
Invariant Metric ◽  
Mass Model ◽  
Principal Axes ◽  
System Of Units ◽  
Rigid Body Displacement ◽  
Definition Of

This paper presents the definition of a coordinate frame, entitled the principal frame (PF), that is useful for metric calculations on spatial and planar rigid-body displacements. Given a set of displacements and using a point mass model for the moving rigid-body, the PF is determined from the associated centroid and principal axes. It is shown that the PF is invariant with respect to the choice of fixed coordinate frame as well as the system of units used. Hence, the PF is useful for left invariant metric computations. Three examples are presented to demonstrate the utility of the PF.

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