Spatial motion of rigid bodies connected by an elastic rod

1988 ◽  
Vol 24 (6) ◽  
pp. 630-633
Author(s):  
V. V. Kravets ◽  
E. P. Kryshko
Keyword(s):  
Rigid Bodies ◽  
Spatial Motion ◽  
Elastic Rod

Rigid Finite Element Modeling for Identification of Vibrations in Elastic Rod Driven by a DC-Motor Supplied from a Thyristor Rectifier

2010 ◽  
Vol 164 ◽  
pp. 297-302 ◽  
Author(s):  
Krzysztof Lipiński ◽  
Zbigniew Kneba
Keyword(s):  
Working Conditions ◽  
Single Phase ◽  
Multibody System ◽  
Dc Motor ◽  
Rigid Bodies ◽  
Discrete Structure ◽  
Elastic Rod ◽  
Electrical Systems ◽  
Half Wave ◽  
Model Flexibility

The paper deals with the numerical analysis of electromechanical systems. The system consists of a DC motor supplied from a half-wave, single phase, thyristor rectifier, and of a flexible rod fixed to the axis of armature. Discretization of rigid segments is used to model flexibility of the rod. The discrete structure is considered as a multibody system, i.e. as a single kinematical chain of rigid bodies connected by massless joints. Significant drift rotation is included in the rod model. Numerical integration is performed in order to predict behavior of the system. Two working conditions are tested: steady-state motion and transient braking of the system. The attention in the paper is concentrated on interactions between the mechanical and electrical systems.

Axial Leakage Flow-Induced Vibration of the Elastic Rod as the Axisymmetric Continuous Flexible Beam

2001 ◽  
Vol 123 (4) ◽  
pp. 421-428 ◽  
Author(s):  
Katsuhisa Fujita ◽  
Atsuhiko Shintani
Keyword(s):  
Rigid Bodies ◽  
Flexible Body ◽  
Flexible Beam ◽  
Leakage Flow ◽  
Root Locus ◽  
Argand Diagram ◽  
Elastic Rod ◽  
Flow Induced Vibration ◽  
Critical Flow Velocity ◽  
Evaluation Methodologies

The evaluation methodologies for the flow-induced vibration instability of a long flexible rod due to axial leakage-flow are reported. In the previous papers, the axisymmetric rods are regarded as rigid bodies, not as continuous bodies. In this paper, we deal with the rod as a continuous flexible body. The equations for the fluid and the structure are coupled analytically and the added mass, added damping, and added stiffness are derived by considering unsteady pressure acting on the rod. The relation between the axial velocity and the unstable phenomena is clarified. Concerning the critical flow velocity, the root locus (Argand diagram) is shown. We compared our results with the experimental results which one of the authors reported before.

scholarly journals Cases of Integrability Which Correspond to the Motion of a Pendulum in the Three-dimensional Space

2021 ◽  
Vol 16 ◽  
pp. 73-84
Author(s):  
Maxim V. Shamolin
Keyword(s):  
Rigid Body ◽  
Force Fields ◽  
Characteristic Point ◽  
Dimensional Space ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Rigid Bodies ◽  
The Body ◽  
Spatial Motion ◽  
Free Rigid Body

We systematize some results on the study of the equations of spatial motion of dynamically symmetric fixed rigid bodies–pendulums located in a nonconservative force fields. The form of these equations is taken from the dynamics of real fixed rigid bodies placed in a homogeneous flow of a medium. In parallel, we study the problem of a spatial motion of a free rigid body also located in a similar force fields. Herewith, this free rigid body is influenced by a nonconservative tracing force; under action of this force, either the magnitude of the velocity of some characteristic point of the body remains constant, which means that the system possesses a nonintegrable servo constraint, or the center of mass of the body moves rectilinearly and uniformly; this means that there exists a nonconservative couple of forces in the system

Acceleration Analysis of Spatial Linkages Using Axodes and the Instantaneous Screw Axis

1967 ◽  
Vol 89 (1) ◽  
pp. 97-101 ◽  
Author(s):  
M. Skreiner
Keyword(s):  
Rigid Bodies ◽  
General Point ◽  
Spatial Motion ◽  
Input Output ◽  
Screw Axis ◽  
Acceleration Analysis ◽  
Instantaneous Screw Axis ◽  
Spatial Linkages ◽  
Output Information ◽  
Instantaneous Screw

The application of recent techniques developed in the geometry and the kinematics of instantaneous spatial motion generated by a pair of axodes, and the relative spatial motion of three rigid bodies using the instantaneous screw axis is demonstrated in an analysis of the Bennett Mechanism. Explicit equations which are well suited to machine calculations yield input-output information, the location and the properties of the instantaneous screw axis, the characteristic properties of the axodes, the velocity and the acceleration of a general point in the moving link, and the position of the center of acceleration in the moving link.

scholarly journals CATEGORY AND TOPOLOGICAL COMPLEXITY OF THE CONFIGURATION SPACE

2019 ◽  
Vol 100 (3) ◽  
pp. 507-517
Author(s):  
CESAR A. IPANAQUE ZAPATA
Keyword(s):  
Motion Planning ◽  
Configuration Space ◽  
Rigid Bodies ◽  
Robot Motion ◽  
Planning Problem ◽  
Topological Complexity ◽  
Robot Motion Planning ◽  
Spatial Motion ◽  
Lusternik Schnirelmann ◽  
Homotopy Invariants

The Lusternik–Schnirelmann category cat and topological complexity TC are related homotopy invariants. The topological complexity TC has applications to the robot motion planning problem. We calculate the Lusternik–Schnirelmann category and topological complexity of the ordered configuration space of two distinct points in the product $G\times \mathbb{R}^{n}$ and apply the results to the planar and spatial motion of two rigid bodies in $\mathbb{R}^{2}$ and $\mathbb{R}^{3}$ respectively.

scholarly journals Classical approach to determining the natural frequency of continual subsystem of three-mass inter-resonant vibratory machine

2019 ◽  
Vol 5 (3-4) ◽  
pp. 77-87
Author(s):  
Oleksii Lanets ◽  
◽  
Oleksandr Kachur ◽  
Vitaliy Korendiy ◽  
◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Natural Frequency ◽  
Rigid Bodies ◽  
Elastic Rod ◽  
Vibratory System ◽  
Operational Conditions ◽  
Inertial Parameters ◽  
Engineering Technique ◽  
Basic Parameters ◽  
The Masses

Problem statement. The three-mass vibratory system can be defined by five basic parameters: inertial parameters of the masses and stiffness parameters of two spring sets. Unlike the classical discrete system, the discrete-and-continual one consists of two rigid bodies connected by one spring set that form the discrete subsystem, and of the reactive mass considered as deformable (elastic) body characterized by certain stiffness and inertial parameters, which are related with one another. Purpose. The main objective of the paper consists in determining the first natural frequency of the continual subsystem of the three-mass discrete-and-continual vibratory machine. Methodology. While carrying out the investigations, it is used the classical theory of oscillations of straight elastic rods. Findings (results). The engineering technique of determining the first natural frequency of the continual subsystem of the three-mass vibratory machine is developed and approved by means of analytical calculations and numerical simulation. Originality (novelty). The optimal diagram of supporting the continual subsystem (elastic rod) is substantiated. The possibilities of exciting the vibrations of the three-mass discrete-and-continual mechanical system using the eccentric drive are considered. Practical value. The obtained research results and the developed calculation techniques can be used be engineers and designers dealing with various technological and manufacturing equipment that use vibratory drive. Scopes of further investigations. While carrying out further investigations, it is necessary to develop the model of combined discrete-and-continual system of three-mass vibratory machine, and to carry out the numerical simulation of the system’s motion under different operational conditions.

scholarly journals CASES OF INTEGRABILITY CORRESPONDING TO THE PENDULUM MOTION IN THREE-DIMENSIONAL SPACE

2017 ◽  
Vol 22 (3-4) ◽  
pp. 75-97 ◽  
Author(s):  
M. V. Shamolin
Keyword(s):  
Rigid Body ◽  
Force Fields ◽  
Characteristic Point ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Rigid Bodies ◽  
The Body ◽  
Spatial Motion ◽  
Free Rigid Body ◽  
Three Dimensional Space

In this article, we systemize some results on the study of the equations of spatial motion of dynamically symmetric fixed rigid bodies–pendulums located in a nonconservative force fields. The form of these equations is taken from the dynamics of real fixed rigid bodies placed in a homogeneous flow of a medium. In parallel, we study the problem of a spatial motion of a free rigid body also located in a similar force fields. Herewith, this free rigid body is influenced by a nonconservative tracing force; under action of this force, either the magnitude of the velocity of some characteristic point of the body remains constant, which means that the system possesses a nonintegrable servo constraint. The obtained results are systematized and served in the invariant form. We also show the nontrivial topological and mechanical analogies.

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