Evolution of numerical model to identify the intersection of vibratory motion equations with discrete points in a mechanical system

2021 ◽  
Author(s):  
Guru Manikandan K. ◽  
Pannirselvam K. ◽  
Jack J. Kenned ◽  
Suresh Kumar C.
Keyword(s):  
Numerical Model ◽  
Mechanical System ◽  
Motion Equations ◽  
Vibratory Motion

scholarly journals A 3D Numerical Model for Turbidity Currents

2020 ◽  
Vol 15 ◽  
Keyword(s):  
Numerical Model ◽  
Two Phase Flow ◽  
Curvilinear Coordinates ◽  
Turbidity Currents ◽  
Phase Flow ◽  
High Concentration ◽  
Two Phase ◽  
Motion Equations ◽  
Vertical Coordinate ◽  
Flow Motion

A numerical model that solves two-phase flow motion equations to reproduce turbidity currents that occur in reservoirs, is proposed. Three formalizations of the two-phase flow motion equations are presented: the first one can be adopted for high concentration values; the second one is valid under the hypothesis of diluted concentrations; the third one is based on the assumption that the particles are in translational equilibrium with the fluid flow. The proposed numerical model solves the latter formalization of two-phase flow motion equations, in order to simulate turbidity currents. The motion equations are presented in an integral form in time-dependent curvilinear coordinates, with the vertical coordinate that varies in order to follow the free surface movements. The proposed numerical model is validated against experimental data and is applied to a practical engineering case study of a reservoir, in order to evaluate the possibility of the formation of turbidity currents.

scholarly journals Motion Analysis of the Hydraulic Ladder

2019 ◽  
Vol 24 (4) ◽  
pp. 230-240
Author(s):  
P. Frankovský ◽  
I. Delyová ◽  
M. Trebuňová ◽  
P. Čarák ◽  
M. Kicko ◽  
...  
Keyword(s):  
Numerical Model ◽  
Analytical Solution ◽  
Dynamic Analysis ◽  
Mechanical System ◽  
Motion Analysis ◽  
Mechanical Systems ◽  
Numerical Calculations

Abstract This paper is aimed at a dynamic analysis of a hydraulically lifted ladder by means of analytical and numerical calculations. The solutions used in the dynamic analysis of mechanical systems were used in the analytical solution. A numerical model was created to verify the achieved results of the solved mechanical system with simulation of its motion.

A Numerical Model to Reproduce Vortex Induced Vibrations of a Circular Cylinder

2006 ◽  
Author(s):  
Marco Belloli ◽  
Giorgio Diana ◽  
Ferruccio Resta ◽  
Sara Muggiasca
Keyword(s):  
Numerical Model ◽  
Circular Cylinder ◽  
Mechanical System ◽  
Wind Velocity ◽  
Experimental Tests ◽  
Degree Of Freedom ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Vortex Induced Vibrations ◽  
Linear Mechanical System

This article describes a numerical model to reproduce vortex induced vibrations of a circular cylinder. It consists in a single degree of freedom non linear mechanical system, with characterizing parameters identified on the basis of experimental tests in order to reproduce the main features of VIV, in particular vibration amplitudes as function of wind velocity and the energy introduction by the blowing fluid into the mechanical system.

Stick Slip Stability by Transfer Lubrication

1978 ◽  
Vol 192 (1) ◽  
pp. 259-268 ◽  
Author(s):  
G. Cockerham ◽  
G. R. Symmons
Keyword(s):  
Cast Iron ◽  
Mechanical System ◽  
Surface Finish ◽  
Experimental Results ◽  
Stick Slip ◽  
Vibratory Motion ◽  
Effective Transfer ◽  
Slip Motion

A transfer lubrication technique has been used successfully in stabilising the vibratory motion of a mechanical system subject to stick slip. The most effective transfer lubricants were found to be p.t.f.e. and graphite lubricating steel on steel and cast iron on cast iron junctions respectively. In addition the effectiveness of three different surface finish conditions for the slideway has been examined. Experimental results are shown to correlate well with current stability theories and also indicate the practical limitations of the transfer lubrication technique in converting stick slip to a steady continuous slip motion.

The Simulation of Mechanical Systems Kinematics and Dynamics

2002 ◽  
Author(s):  
Q. K. Yuan
Keyword(s):  
Mechanical System ◽  
Mechanical Systems ◽  
Dynamics Simulation ◽  
Simulation Program ◽  
Kinematics And Dynamics ◽  
Software System ◽  
Motion Equations

The Kinematics and dynamics is the important properties of a mechanical system or a mechanical product. In this paper, a describing method by the symbol sets, motion equations auto-building method and auto-solving method are discussed, a software system MSKDSP (Mechanical System Kinematics and Dynamics Simulation Program) is developed, and an example is given.

Analysis of a High-Speed Solenoid-Actuated Mechanism

1968 ◽  
Vol 90 (3) ◽  
pp. 441-448 ◽  
Author(s):  
R. L. Wirth
Keyword(s):  
Mechanical System ◽  
High Speed ◽  
Lumped Parameter Model ◽  
Electromagnetic System ◽  
Motion Equations ◽  
Lumped Parameter ◽  
Intermittent Contact ◽  
Impressed Current ◽  
Systematic Solution ◽  
The Relationship

The mechanism which is considered in this paper is a high-speed, solenoid-driven, impact printing mechanism. The purpose of the analysis is to construct a mathematical model of the mechanism from which the dynamics of the mechanism can be studied during a complete printing cycle. The basic approach taken is to construct a lumped parameter model of the mechanical system. Motion equations are written which are solved simultaneously with equations governing the electromagnetic system. Elements of the mechanical system which are described include viscoelastic buffers between impacting parts. Dead space or intermittent contact between parts is another aspect of the problem which is defined. The relationship between core flux and impressed current is established through an experimentally measured magnetization curve. Equations governing both the rise and fall of the magnetic flux are developed since a complete cycle of operation is under study. The resulting set of equations is nonlinear in nature and impractical to solve by hand. However, a systematic solution to the equations is readily obtained by numerical integration on a digital computer.

Dry Friction and Mechanical System Motion Implicit Equations

2021 ◽  
pp. 4-16
Author(s):  
V.V. Lapshin
Keyword(s):  
Mechanical System ◽  
Sliding Friction ◽  
Single Point ◽  
Mechanical Systems ◽  
Equation System ◽  
Rolling Friction ◽  
Body Motion ◽  
Motion Equations ◽  
Differential Motion ◽  
Implicit Equations

It is shown that forces acting on the mechanical system points could depend on accelerations of the system points. Differential equation system of the mechanical system motion appears to be implicit. It is not resolved with respect to senior derivatives. Fundamental mathematical problems appear associated with possibility and uniqueness of these equations' solution with respect to the senior derivatives. Such problems are common in mechanical systems with dry sliding friction and rolling friction. Such problems are missing in the point dynamics. However, such problems are rather typical in more complex mechanical systems appearing in the study of a rigid body motion, which entire mass is concentrated in a single point, as well as in systems with one degree of freedom. Four fairly simple examples of mechanical systems are considered, and their motion is described by implicit differential motion equations. Situations could appear in these systems, when motion equations are not solvable with respect to the senior derivatives (motion equations are missing), as well as situations, when there are several solutions with respect to senior derivatives (there are several different systems of the mechanical system motion equations). At the same time, one of the fundamental principles of mechanics is not fulfilled, i.e., the principle of determinism

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