Last edited by Duramar
Friday, April 24, 2020 | History

1 edition of A unified approach to the mass balancing of rotating flexible shafts found in the catalog.

A unified approach to the mass balancing of rotating flexible shafts

  • 159 Want to read
  • 28 Currently reading

Published .
Written in English

    Subjects:
  • Rotational motion,
  • Rotors,
  • Turbomachines

  • Edition Notes

    Statementby Mark S. Darlow
    The Physical Object
    Paginationxii, 311 leaves :
    Number of Pages311
    ID Numbers
    Open LibraryOL25937083M
    OCLC/WorldCa6723649

    Design of Shaft A shaft is a rotating member usually of circular cross-section (solid or hollow), which transmits power and rotational motion. Machine elements such as gears, pulleys (sheaves), flywheels, clutches, and sprockets are mounted on the shaft and are used to transmit power from the driving device (motor or engine) through a machine.   A method of balancing a rotary device (12,14) for balanced rotational operation when connected to a drive shaft (24) by a flexible coupling (26,28).The method comprises the steps of connecting a drive shaft simulator (32,34) to a rotary device (12,14) and, rotating the said device (12,14) to simulate drive shaft unbalance due to misalignment of the rotary device . THEORY: Propeller and Rotor Balancing. By Mark Lester. The purpose of balancing. One of the most important applications of vibration analysis is the solution of balancing problems. An unbalanced propeller, rotor or driveshaft will cause vibration and stress in the rotating part and in its supporting structure.   The limited success of the traditional balancing method indicated there must be a better approach. The basic causes of shaft unbalance--distorted cross section, nonuniform wall thickness and shaft bow--were examined to develop a simple explanation for why shafts need balancing, and a simple method for doing it.


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A unified approach to the mass balancing of rotating flexible shafts by Mark Sandor Darlow Download PDF EPUB FB2

An important form of vibration experienced by rotating machinery in a wide range of applications is that due to inherent unbalance.

Rotating machinery may incorporate either rigid or flexible shafts and balancing procedures for both cases are discussed, but emphasis is given to a review of techniques for the high-speed balancing of flexible by: UNIFIED APPROACH TO ROTOR BALANCING Various methods have been proposed over the last twenty years or so for the balancing of flexible shafts.

Some techniques have been directly founded on a modal interpretation of the shaft whirl and the use of equations Cited by: A theoretical introduction to the development of a unified approach to flexible rotor balancing, Journal of Sound and Vibrat – Pasricha, M.

S., and Carnegie, W. Effects of variable inertia on the damped torsional vibrations of diesel-engine systems, Journal of Sound and Vibrat –Cited by: Chapter Balancing of Rotating Masses It may be noted that equation (i) represents the condition for static balance, but in order to achieve dynamic balance, equations (ii) or (iii) must also be satisfied.

When the plane of the disturbing mass lies on one end of the planes of the balancingFile Size: KB. Sound hib. () 2 (4), THE VIBRATION AND BALANCING OF SHAFTS ROTATING IN ASYMMETRIC BEARINGS A. PARKINSON Department of Mechanical Engineering, University College London, Gower Street, London,England (Received 6 May ) Many aspects of the vibration of a flexible, unbalanced, rotating shaft have been Cited by: UNIT 6 INTRODUCTION TO BALANCING Balancing Structure Introduction Objectives Force on Shaft and Bearing due to Single Revolving Mass rotate with the shaft and if the centre of gravity of the rotating mass does not lie on the axis of the shaft then the mass will be effectively rotating about an axis at certain radiusFile Size: KB.

Balancing of a single rotating mass by two masses rotating in different planes. Balancing of several masses rotating in the same plane 4. Balancing of several masses rotating in different planes STATIC BALANCING: A system of rotating masses is said to be in static balance if the combined mass centre ofFile Size: 1MB.

Balancing Balancing is the process of eliminating or at least reducing the ground forces and/or moments. It is achieved by changing the location of the mass centers of links. Balancing of rotating parts is a well known problem.

A rotating body with fixed rotation axis can be fully balanced i.e. all the inertia forces and moments. The mass required is /60 = kg o anticlockwise of A as shown.

SELF ASSESSMENT EXERCISE No. 1 Find the 4th mass that should be added at a radius of 50 mm in order to statically balance the system shown. Mass A is 1 kg at mm radius. Mass B is kg at 75 mm radius Mass C is kg at 90 mm radius.

Figure 9File Size: KB. Dynamic Systems – Chapter 4 Mechanical Systems ζ= ζ= ζ= 0. 2 Dr. Peter Avitabile Modal Analysis & Controls Laboratory Dynamic Systems – Chapter 4 Mechanical Systems-Translational Mass Element Translation of a particle moving in space due to an force balance – but often confuses many Size: 1MB.

Recommended balancing parameters – here are the main recommended parameters calculated by the program for the process of rotating body balancing: the radius r b and amount of correcting masses - counterbalances m b1 and m b2 that are necessary for adding or removing the mass (e.g.

by drilling). The value of the balancing masses corresponds to Author: Viliam Fedák, Pavel Záskalický, Zoltán Gelvanič. Based on introducing the concept of the metric induced by a set of vectors, as well as minimizing the maximum amplitude of residual vibrations in the sense of this metric, an approach for determining the balance correction for flexible shafts is presented.

The advantages of the proposed method are two-fold. Firstly, the approach is available when upper bound constraints on balance Cited by: 3. The Identification of the Unbalance of a Flexible Rotating Machine From a Single Rundown A. W Effect of Residual Shaft Bow on Unbalance Response and Balancing of a Single Mass Flexible Rotor: Part II—Balancing 98, pp.

– 7. Parkinson, A. G., Darlow, M. S., and. Smalley, A. J.,“ Balancing Flexible Rotating Shafts Cited by:   It depends what is meant by “dynamic” balancing.

If the object is treated as a rigid body, then it means adding balance masses (or sometimes, subtracting mass by machining away a little material) to make the rotation axis into a principal moment o. The requirement to provide balance for rotating systems is a vital component in ensuring long, reliable service.

This document describes a graphical method that can be used to determine the out of balance forces of such a system and the correct size and position of the balance weight required to do this.

One of the best approach is that the balancing the rotor to reduce its unbalance response. The present works illustrates that to finding the critical speeds of two different rotating shafts by using finite element method.

The critical speed has been measured for the various models i.e. (i) a simple rotor system, (ii)File Size: KB. and kg respectively. The corresponding radii of rotation are m, m, m and m respectively and the angles between successive masses are 45°, 75° and °.Find the position and magnitude of the balance mass required, if its radius of rotation File Size: KB.

As an alternative to the above approaches, a novel method of balancing long, flexible, high-speed drive shafts has been proposed, 14, 15 where balance corrections (that. Today there is enough reference literature printed during the last 20 years alone on general balancing and balancing of flexible rotors, that could fill a room, (Ref: N.

Rieger). The purpose of this book is to provide the engineering student or practicing engineer with a single, complete reference on high-speed rotor balancing. To this end, a detailed analytical background. Dynamic Balancing of Rotating Machinery in the Field By E. THEARLE,1 SCHENECTADY, N.

This paper describes a method and portable equipment for balancing rotating machinery while running under normal operating conditions. A direct and exact solution of the problem is offered, which makes it possible toFile Size: 6MB.

A Practical Review of Rotating Machinery Critical Speeds and Modes Erik Swanson, Xdot-Consulting, Chapel Hill, North Carolina Chris D. Powell, Structural Technology Corporation, Zoar, Ohio Sorin Weissman, Alfa Wasserman, Inc., West Caldwell, New Jersey Natural Frequency = Stiffness Mass (1) Amplitude (2) F k m k c k =-Ê Ë Á ˆ ¯ ˜ + Ê.

BALANCING Three Classes of Imbalance: Static, Dynamic, and Flexible Shafts 63 Balancing Methods and Theory 64 New Concepts in Automatic and Self-Balancing 70 8.

CONCLUSIONS 73 REFERENCES 77 BIBLIOGRAPHY 81 AUTHOR INDEX TO BIBLIOGRAPHY SUBJECT INDEX TO BIBLIOGRAPHY SUBJECT AND AUTHOR File Size: 7MB. Certain other balancing techniques are also discussed. Recent developments toward the establishment of criteria for appropriate levels of residual unbalance in flexible rotors following balancing operations are included.

The state-of-art for flexible rotor balancing is summarized, and the work which remains is : N. Rieger. Traditional techniques for balancing long, flexible, high-speed rotating shafts are inadequate over a full range of shaft speeds.

This problem is compounded by limitations within the manufacturing process, which have resulted in increasing problems with lateral vibrations and hence increased the failure rates of bearings in practical applications. An adjustable correction mass must be positioned relative to a rectangular coordinate system rotating with the shaft such as to counterbalance the inherent system unbalance.

This approach widens the scope of automatic balancing to include systems of which the unbalance conditions may change with time, for example, the rotor of a pump handling a Cited by: 2.

rotating with the Rotor, the polar angle at which an Unbalance Mass is located with reference to the given coordinate system. Unbalance Mass. That mass which is considered to be located at a particular radius such that the product of this mass and its centripetal acceleration is equal to the Unbalance Size: KB.

MECH Experiment 2: Balancing of Rotating Masses 2 Theory Three masses m1, m2 and m3 are rotating in three planes at radii r1 to r3 at angles θ to a reference plane as shown in Figure 1. In general, there will be a resultant unbalanced force and couple. Since it is not possible to balance a couple with a single force, two balance masses.

Critical Speeds of Rotating Shafts or Mass: The center of a rotating mass is always offset from the center of rotation. This is due to the reality of imperfect geometry and uneven mass distribution.

As the mass rotates, the offset mass will generate a centrifugal force caused by the heavier side of the mass. Robust Optimal Balancing of High-Speed Machinery Using Convex Optimization Guoxin Li, This formulation can be extended in a generalized unified balancing approach, which combines the advantages of both the influence coefficient approach and the modal balancing.

The Balancing of Rotating Shafts by Quadratic Programming,” ASME J. Mech. by:   Balancing of a Single Rotating Mass By a Single Mass Rotating in the Same Plane • Consider a disturbing mass m1 attached to a shaft rotating at ω rad/s as shown in Fig.

• Let r1 be the radius of rotation of the mass m1 (i.e. distance between the axis of rotation of the shaft and the centre of gravity of the mass m1). Static balance exists when the center of mass is on the axis of rotation. Whereas, both static and couple balance exist when the principal inertia axis coincides with the axis of rotation.

TYPES OF UNBALANCE. The location of the center of mass and the principal inertia axis is determined by the counter balancing effect from every element of the. CHAPTER 17 VIBRATION BASED CONDITION MONITORING IN ROTATING MACHINERIES Example Consider a two-DOF Jeffcott rotor mounted on two identical flexible bearings.

The mass of disc is kg and the stiffness of the shaft is × N/m. Consider the following albeit much less than mass unbalance.

Bends in shafts may be caused in. With equations () dynamic balancing can be achieved. Example2: weights 2lb, 4lb, and 3lb are located at radii 2in., 3in., and 1in. in the planes C, D, E, respectively, on a shaft supported at bearings B and F as shown the weights and angular locations of the two balancing weights to be placed in the end planes A and G so that dynamic load on the bearings will be.

The balancing of rotating bodies is important to avoid heavy industrial machines such as gas turbines and electric generators, vibration can cause catastrophic failure, as well as noise and the case of a narrow wheel, balancing simply involves moving the center of gravity to the centre of rotation.

For a system to be in complete balance both force and. Single Rotating Mass; Many Masses Rotating in the Same Plane; Many Masses Rotating in Different Planes; Analytical Method for Balancing of Rotating Masses; Reciprocating Masses.

Reciprocating Engine; Partial Primary Balance; Balancing of Locomotives. Partial Balancing of Uncoupled. Advanced Field Balancing Techniques Ray D.

Kelm, P.E. Kelm Engineering Danbury, TX [email protected] Introduction Vibration in rotating machinery is commonly the result of mechanical faults including mass unbalance, coupling misalignment, loose components, and many other causes. Improving the levels of vibrationFile Size: 1MB.

As a result, the balancing of flexible rotors is one of the pivotal techniques for speed-variant rotating machinery in modern industry. Conventional balance methods, for example, modal balancing method [ 1 – 3 ], the influence coefficient method [ 4, 5 ], and the unified approach [ 6, 7 ], have been well exploited in the numerical by: 3.

Purchase Practical Balancing of Rotating Machinery - 1st Edition. Print Book & E-Book. ISBN  The shaft in part A is to be balanced using two mases (m 1 and m 2) placed m and m from end A and o from the direction of the bearing reactions, each on radius arms mm long.

Calculate the sizes of m 1 and m 2. Homework Equations F=m*r*ω 2 The Attempt at a Solution A. ω= revs min-1 =*(2π/60)=50π rad s-1 To balance the shaft the. A Comparison of Flexible Coupling Models for Updating in Rotating Machinery Response This paper analyzes the effects of the mathematical models of flexible couplings in rotating mechanical systems in terms of their vibrational behavior.

The residual unbalance of the.Balance shafts are used in piston engines to reduce vibration by cancelling out unbalanced dynamic forces. The balance shafts have eccentric weights and rotate in opposite direction to each other, which generates a net vertical force. The balance shaft was invented and patented by British engineer Frederick W.

Lanchester in It is most commonly used in inline-four and. Has anyone else heard anything about this? Is there anyone using these shafts? The weight of the shaft increase the closer it gets to the club head. Heres a post about it. Ascending Weight in Steel Shafts I was pretty shocked to hear that 85% of the PGA tour uses a shaft that essentially hasnt ch.