Determining the tensor of inertia and the coordinates of the center of mass of an object

1994 ◽  
Vol 37 (11) ◽  
pp. 1253-1255
Author(s):  
E. V. Buyanov
Keyword(s):  
Center Of Mass ◽  
Tensor Of Inertia

Use of Equimomental Systems in Calculating Inertial and Dynamic Quantities of Plane Plates

2014 ◽  
Vol 555 ◽  
pp. 458-465 ◽  
Author(s):  
Nicolaie Orăşanu ◽  
Andrei Craifaleanu
Keyword(s):  
Arbitrary Shape ◽  
Center Of Mass ◽  
Industrial Robots ◽  
Elliptical Plate ◽  
Reduction Procedure ◽  
Plane Plate ◽  
Rigid Plane ◽  
Material Points ◽  
Complex Mechanical Systems ◽  
Tensor Of Inertia

The paper proposes a method for the reduction of an arbitrary-shape plane plate to a symmetrical discrete system of material points, with the same center of mass and the same tensor of inertia. It is shown, first, that an elliptical plate can be reduced to a symmetrical system of five material points, with a spatial distribution directly related to the shape of the plate. The results are subsequently generalized for plane plates of arbitrary shape. By using the reduction procedure, various mechanical quantities can be calculated more simply, as compared to the traditional methods. The proposed method finds application in the dynamic, vibration and structural analysis of complex mechanical systems that include rigid plane plates, such as industrial robots.

scholarly journals System of differential equations of aircraft spatial motion dynamics with arbitrary tensor of inertia and center of gravity position

2021 ◽  
Vol 20 (2) ◽  
pp. 7-18
Author(s):  
D. V. Vereshchikov
Keyword(s):  
Differential Equations ◽  
Center Of Mass ◽  
Center Of Gravity ◽  
The Body ◽  
Spatial Motion ◽  
System Of Differential Equations ◽  
Aircraft Flight ◽  
Analytic Expressions ◽  
Tensor Of Inertia ◽  
Arbitrary Tensor

Derivation of analytic expressions making up the basis of a mathematical model of aircraft flight dynamics for the differential equations describing the change in the rate of roll, yaw and pitch, as well as flight velocity components in projections on the body-fixed coordinate axes is presented. The origin of the coordinate system does not in general coincide with the center of mass of the plane, and the axes are not the same as its main central axes of inertia. The differential equations for angular and linear velocities are reduced to the form convenient for the use of numerical methods and computer systems and make it possible to get consistent results of simulating the dynamics of aircraft spatial motion with an arbitrary tensor of inertia and center of gravity position.

The Center of Mass Influences Normal Attentional Orienting

1994 ◽  
Author(s):  
Marcia Grabowecky ◽  
Lynn C. Robertson ◽  
Anne Treisman
Keyword(s):  
Center Of Mass ◽  
Attentional Orienting

Center of Mass Theorem and the Separation of Variables for Two-Body System on a Three-Dimensional Sphere

2020 ◽  
Vol 23 (3) ◽  
pp. 306-311
Author(s):  
Yu. Kurochkin ◽  
Dz. Shoukavy ◽  
I. Boyarina
Keyword(s):  
Constant Curvature ◽  
Jacobi Equation ◽  
Separation Of Variables ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Relative Distance ◽  
Dimensional Sphere ◽  
Body System ◽  
Spaces Of Constant Curvature ◽  
Hamilton Jacobi Equation

The immobility of the center of mass in spaces of constant curvature is postulated based on its definition obtained in [1]. The system of two particles which interact through a potential depending only on the distance between particles on a three-dimensional sphere is considered. The Hamilton-Jacobi equation is formulated and its solutions and trajectory equations are found. It was established that the reduced mass of the system depends on the relative distance.

TO THE STABILITY OF TANK VEHICLES IN THE BRAKE MODE

2019 ◽  
pp. 27-32
Author(s):  
Denys Popelysh ◽  
Yurii Seluk ◽  
Sergyi Tomchuk
Keyword(s):  
Mathematical Model ◽  
Control Systems ◽  
Distribution Systems ◽  
Traffic Accidents ◽  
Road Traffic ◽  
Center Of Mass ◽  
Dynamic Processes ◽  
Course Stability ◽  
The Stability ◽  
Tank Vehicles

This article discusses the question of the possibility of improving the roll stability of partially filled tank vehicles while braking. We consider the dangers associated with partially filled tank vehicles. We give examples of the severe consequences of road traffic accidents that have occurred with tank vehicles carrying dangerous goods. We conducted an analysis of the dynamic processes of fluid flow in the tank and their influence on the basic parameters of the stability of vehicle. When transporting a partially filled tank due to the comparability of the mass of the empty tank with the mass of the fluid being transported, the dynamic qualities of the vehicle change so that they differ significantly from the dynamic characteristics of other vehicles. Due to large displacements of the center of mass of cargo in the tank there are additional loads that act vehicle and significantly reduce the course stability and the drivability. We consider the dynamics of liquid sloshing in moving containers, and give examples of building a mechanical model of an oscillating fluid in a tank and a mathematical model of a vehicle with a tank. We also considered the method of improving the vehicle’s stability, which is based on the prediction of the moment of action and the nature of the dynamic processes of liquid cargo and the implementation of preventive actions by executive mechanisms. Modern automated control systems (anti-lock brake system, anti-slip control systems, stabilization systems, braking forces distribution systems, floor level systems, etc.) use a certain list of elements for collecting necessary parameters and actuators for their work. This gives the ability to influence the course stability properties without interfering with the design of the vehicle only by making changes to the software of these systems. Keywords: tank vehicle, roll stability, mathematical model, vehicle control systems.

Exploring Baryon Rich Matter with Heavy-Ion Collisions

2019 ◽  
Vol 64 (7) ◽  
pp. 583 ◽  
Author(s):  
S. Harabasz
Keyword(s):  
Center Of Mass ◽  
Heavy Ion ◽  
State Density ◽  
Heavy Nuclei ◽  
First Order ◽  
Center Of Mass Energy ◽  
Ion Collisions ◽  
Deconfinement Phase Transition ◽  
Ground State Density

Collisions of heavy nuclei at (ultra-)relativistic energies provide a fascinating opportunity to re-create various forms of matter in the laboratory. For a short extent of time (10-22 s), matter under extreme conditions of temperature and density can exist. In dedicated experiments, one explores the microscopic structure of strongly interacting matter and its phase diagram. In heavy-ion reactions at SIS18 collision energies, matter is substantially compressed (2–3 times ground-state density), while moderate temperatures are reached (T < 70 MeV). The conditions closely resemble those that prevail, e.g., in neutron star mergers. Matter under such conditions is currently being studied at the High Acceptance DiElecton Spectrometer (HADES). Important topics of the research program are the mechanisms of strangeness production, the emissivity of matter, and the role of baryonic resonances herein. In this contribution, we will focus on the important experimental results obtained by HADES in Au+Au collisions at 2.4 GeV center-of-mass energy. We will also present perspectives for future experiments with HADES and CBM at SIS100, where higher beam energies and intensities will allow for the studies of the first-order deconfinement phase transition and its critical endpoint.

Effects of Stiffness and the Variation of Center of Mass on Rocket Motion

2020 ◽  
Vol 13 (1) ◽  
pp. 16
Author(s):  
Dam Viet Phuong ◽  
Quoc Tru Vu ◽  
Anh Tuan Nguyen
Keyword(s):  
Center Of Mass

Hard Single Diffraction in $p\bar{p}$ Collisions at 1800-GeV and 630-GeV Center-of-Mass Energies

1999 ◽  
Author(s):  
Kristal Monika Mauritz
Keyword(s):  
Center Of Mass ◽  
Single Diffraction
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