Analysis of the Dynamic Response Characteristics of a Flow Meter for Measurement of Pulsating Flow of Liquids

1970 ◽  
Vol 3 (9) ◽  
pp. T155-T156 ◽  
Author(s):  
F. G. Young
Keyword(s):  
Equations Of Motion ◽  
Linear Equations ◽  
Pulsating Flow ◽  
Flow Meter ◽  
Transient Behaviour ◽  
Response Characteristics ◽  
Rapid Flow ◽  
Linear Equations Of Motion ◽  
The University ◽  
Non Linear Equations

An account of the design and development of a prototype flow meter for measuring the flow of liquids under transient conditions was presented by the author at the Symposium on the Measurement of Pulsating Flow at the University of Surrey, April 1970. The flow meter exhibited good transient behaviour in response to rapid flow variations and a favourable correlation existed between theoretically predicted and experimental steady flow results. This paper gives a derivation of the theory underlying the transient behaviour of the instrument and shows how the essentially non-linear equations of motion may be linearised to produce easily manageable linear equations. The good transient response characteristics are accounted for by virtue of the high value of ‘hydraulic stiffness’.

scholarly journals INVESTIGATION OF THE DYNAMICS OF AN OVERHEAD CRANE LIFTING PROCESS IN A VERTICAL PLANE

Transport ◽  
2005 ◽  
Vol 20 (5) ◽  
pp. 176-180 ◽  
Author(s):  
Marijonas Bogdevičius ◽  
Aleksandr Vika
Keyword(s):  
Dynamic Behaviour ◽  
Equations Of Motion ◽  
Asynchronous Motor ◽  
Linear Equations ◽  
Vertical Plane ◽  
Overhead Crane ◽  
Dynamic Forces ◽  
Planet Gear ◽  
Linear Equations Of Motion ◽  
Non Linear Equations

The paper analyses the dynamic behaviour of supporting structure of an overhead crane during the operation of a hoisting mechanism. The crane is expected to operate with a hook and to carry 50 kN of weight. The electric hoist consists of an asynchronous motor with a magnetic brake, a two‐level planet gear, a load drum and an upper block. Non‐linear equations of motion of a crane hoisting mechanism are derived. Real dynamic forces and their influence on the hoisting crane behaviour are obtained. Numerical results of the crane are derived considering two hoisting regimes during the operation of the hoisting.

Calculations for anemometry with fine hot wires

1968 ◽  
Vol 32 (1) ◽  
pp. 9-19 ◽  
Author(s):  
W. W. Wood
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Close Agreement ◽  
Equations Of Motion ◽  
Linear Equations ◽  
Measured Data ◽  
Hot Wire ◽  
Linear Equations Of Motion ◽  
Hot Wires ◽  
Non Linear Equations

The heat transfer appropriate to low Reynolds number hot-wire anemometry is calculated from the full non-linear equations of motion and of heat transfer by an iterative method starting with the Oseen solution and its heat flux analogue. The second and third iterates yield close agreement with measured data.

scholarly journals Multi-parametric Dynamic Analysis of a Rolling Bearings System

2021 ◽  
Vol 67 (9) ◽  
pp. 421-432
Author(s):  
Almatbek Kydyrbekuly ◽  
Gulama-Garip Alisher Ibrayev ◽  
Tangat Ospan ◽  
Anatolij Nikonov
Keyword(s):  
Harmonic Balance ◽  
Equations Of Motion ◽  
Linear Equations ◽  
Stiffness Coefficient ◽  
Rolling Bearings ◽  
Linear Characteristic ◽  
Non Linear ◽  
Linear Equations Of Motion ◽  
Oscillation Frequencies ◽  
Non Linear Equations

A method for calculating amplitudes and constructing frequency characteristics of forced and self-excited vibrations of a rotor-fluid-foundation system on rolling bearings with a non-linear characteristic based on the method of complex amplitudes and harmonic balance has been developed. Non-linear equations of motion of the rotor-fluid-foundation system are derived, and analytical methods of their solution are presented. Frequencies of fundamental and ultra-harmonic resonances are determined. The intervals between self-oscillation frequencies are estimated. The dependence of amplitudes on the amount of fluid in the rotor cavity, the mass of the foundation, linear imbalance, the value of the stiffness coefficient, and the damping coefficient is shown.

Stability and vibration of a non-linear vehicle and passenger system

2002 ◽  
Vol 216 (2) ◽  
pp. 109-116 ◽  
Author(s):  
K Yu ◽  
A C J Luo ◽  
Y He
Keyword(s):  
Equations Of Motion ◽  
Linear Equations ◽  
Dynamic Responses ◽  
Spring Stiffness ◽  
Torsional Spring ◽  
Non Linear ◽  
Linear Equations Of Motion ◽  
Safety Belts ◽  
The Stability ◽  
Non Linear Equations

A non-linear dynamic model to predict the passenger's response in a vehicle travelling on a rough pavement surface (or a rough terrain) is developed. The corresponding equilibrium and stability are investigated through the non-linear equations of motion for a vehicle and passenger system with impacts. The stability with respect to the torsional spring stiffness of safety belts is illustrated. Based on such a stability condition, the dynamic responses for the vehicle and passenger system with and without impacts are simulated numerically. This investigation shows that a strong torsional spring is required in order to reduce the vibration amplitudes of passengers and to avoid impacts between the vehicle and passenger.

Analytical Design for Time Optimum Transient Response of Hydraulic Servomechanisms

1965 ◽  
Vol 7 (1) ◽  
pp. 8-14 ◽  
Author(s):  
R. M. Davies
Keyword(s):  
Equations Of Motion ◽  
Linear Equations ◽  
System Response ◽  
Hydraulic Control ◽  
Maximum Acceleration ◽  
Linear Equations Of Motion ◽  
Non Linear Equations ◽  
Practical Implications ◽  
Hydraulic Control System ◽  
Maximum Deceleration

A design is proposed and analysed for an hydraulic control system whose valve is operated in such a way as to provide time optimum system response to step inputs of various magnitudes for various inertial loads. It is attempted to operate initially with maximum acceleration, followed by maximum deceleration within the constraints imposed in avoiding cavitation. Analytical solutions are found for the non-linear equations of motion describing this operation of the system. The theoretical limitations and practical implications of the work are discussed.

Production of superthermal electrons by electrostatic plasma oscillations

1967 ◽  
Vol 1 (2) ◽  
pp. 241-254 ◽  
Author(s):  
R. W. Fredricks
Keyword(s):  
Plasma Wave ◽  
Large Amplitude ◽  
Equations Of Motion ◽  
Linear Equations ◽  
Random Phase ◽  
Stochastic Case ◽  
Linear Equations Of Motion ◽  
Electrostatic Plasma Wave ◽  
Non Linear Equations ◽  
Coherent Plasma

The beam-plasma interaction which has been proposed by Stix is examined both by approximate analysis and by integration of the non-linear equations of motion which describe the interaction of an individual electron with a monochromatic large amplitude electrostatic plasma wave. The quasi-stochastic model of the large amplitude plasma waves, introduced by Stix (1964), has been used in the calculations by programming a random phase function into the argument of the periodic plasma wave function. It is found that electrons are subject to a quasi- cyclotron acceleration which proceeds to a higher energy in the stochastic case than the limit found in the non-stochastic case (a phase-coherent plasma wave). This behaviour is interpreted in terms of a limit cycle phenomenon, and the stochastic phase shift appears to push electrons across these limit cycles. It is also found that favoured groups of electrons in a 2eV plasma excited by a 5 keV beam in a2000 Gauss field can achieve energies in the range 85 to 170 keY in less than a nanosecond by a single acceleration occurring in one plasma wave coherence length L‖ as defined by Stix.

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