Lowi.-s, F.M., and Tachmindji, A. J., "Propeller Forces 

 Exi-iting Hull Vibration," Trans SNAME, Vol. 62, 1954. 



This paper outlines the methods used in measuring the various 

 types of vibratory forces on models and full-scale vessels, and presents 

 experimental results obtained from models which include such effects a 

 rpm, axial wnd tip propeller clearances, presence of rudder and rudder- 



Littlo, R.S., "Bibliography on the Longitudinal 

 Strength of Ships and Related Subjects," Technical and 

 Re.-^enrch Bulletin No. 2-3, SNAME, September 1958. 



Macngno, E.O. and Landweber, L., "Irrotational Motion 

 of the Liquid Surrounding a Vibrating Ellipsoid of Revolu- 

 tion," Journal of Ship Research, Vol. 2, June 1958. 



MacNenl, R.H,, "The Solution of Partial Differential 

 Equations by Means of Electrical Networks," Ph.D. Thesis, 

 Crtlifornin Institute of Technology, 1949. 



MacNeal, R.H., "Vibrations of Composite Systems," 

 California Institute of Technology, Tech Report 4, Air 

 Research and Development Command, Office of Scientific 

 Research, Contract AF 18(600)-669, Project R-354-30-1, 

 January 1955. 



Mathewson, A.W., "Calculation of the Normal Vertical 

 Flexural Modes of Hull Vibration by Digital Process," 

 DTMB Report T06, February 1950. 



A method for the calculatioi 

 of ship hulls is presented. 

 ?d natural frequencies are g 



f flexural frequencies and normal 

 omparison of experimental and 

 1 for the USS NIAGARA (APA87). 



Mathewson, Alice W,, "Calculation of Torsional Criti- 

 cal Speeds of Electrically Driven Propulsion System with 

 Flexibly Mounted Planetary Reduction Gears," DTMB 

 Report 927, June 1955. 



critical frequencii 

 etary gear propuls 



Mathewson, A.W., "Preparation of Data for Computation 

 of Vertical Flexural Modes of Hull Vibration by Digital 

 Proce*.-," DTMB Report 632, September 1949. 



A method is described by which the flexural modes of hull vibration 

 can be calculated-while the ship is still in the design stage-by digi- 

 tal computation. Although the method shows promise of applicability 

 to both horizontal and vertical flexural mo- 

 mended for preparation of data on vertical 



nly. 



Ma«h>, N,, "Vibration Tests on LCU 1621, Equipped 

 «iih a Special Right-Angle Drive Propulsion System," 

 DTMB Report 1634, August 1962. 



suits of 1 



ngle dri. 



1 LCU 1621 whi. 

 J propeller-nozz 



i propelled by two special right- 



\kCann, G,D., "A Study of the Accuracy of Lumped 

 Parameter and Analog Computer Representations of Canti- 

 Icvcrcd Beams under Condition.s of Static Stress and 

 Dynamic Vibrations," California Institute of Technology, 

 Tech Report 3, Air Research and Development Command, 

 Office of Scientific Research, Contract AF 18(600)-669, 

 Project R-354-30-1, April 1955. 



McCann, G.D., "Designing Analogy Circuits from Test 

 Data," ISA Journal, June 1956. 



echa 





: cha 



efficient o: 



analogous ci 

 from such te: 



frequently necessary to ana! 

 cteristics are described by direct tests, such as influer 

 mode shake tests. These do not give such 

 as effective spring constants directly. Howe 

 ui be synthesized to represent systems di 



tly 



McCann, G.D., "Electrical Analogies for Mechanical 

 Structures," ISA, May 1956. 



In the "loop" analogy, the terms of the general force equations 

 are voltages, a'nd Kirchhoff's law for the summation of voltages around 

 closed loops simulates Newton's law of force. In most "nodal" 

 analogies, nodal equations for the summation of currents simulate the 

 force equations. In the past these well known analogies have been 

 limited by imperfect circuit elements, and the inability to develop 

 suitable circuit analogies for any but the simpler examples. 



McCann, G.D. and MacNeal, R.H., "Beam-Vibration 

 Analysis with the Electric Analog Computer," Journal of 

 Applied Mechanics, Vol. 17, No. 1, March 1950. 



McGoldrick, R.T., "A Theorem on Bending Stresses in 

 Rotating Shafts," DTMB Report 947, June 1955. 



It is shown that with the exception of the shaft fitted with a 

 two-bladed propeller, the harmonic components of the varying bending 

 stress set up in rotating propeller shafts due to periodic forces or 

 moments acting on the shaft will have the same amplitude regardless 

 of the position of the strain gage on the circumference of the shaft. 



McGoldrick, R.T., "A Vibration Manual for Engineers," 

 DTMB Report R-189 (Second Edition) December, 1957. 



This manual contains a collection of formulas useful to design 

 engineers in their efforts to minimize trouble from mechanical vibra- 

 tion. The formulas conform with a notation based on the inch-pound- 

 second system of units unless specifically stated otherwise. 



McGoldrick, R.T., "Axial Vibration of Propulsion 

 Systems of Battleships of the BB 57 through 60 Class," 

 DTMB Report 547, January 1948. 



Experimental data include amplitudes and resonant frequencies 

 of axial vibration of the shafts. The vibration was considered not 

 serious, but turbine couplings showed excessive wear and prompted 

 further investigation. 



McGoldrick, R.T., "Axial Vibration of Propulsion 

 Systems of Battleships of the BB 61 through 66 Class," 

 DTMB Report 551, February 1948. 



Axial vibration data was taken during sea trials of two ships of 

 this class. The general problem of the axial vibration of shafts on 

 battleships is discussed with a description of the various parameters 

 involved, including the wake variation of each. 



McGoldrick, Raymond T., "Calculations for Hull Vibra- 

 tion of the SS GOPHER MARINER and Comparison with 

 Experimental Results," DTMB Report 1022, May 1956. 



An extensive vibration study was made on the GOPHER 

 MARINER sponsored by SNAME in an attempt to evaluate present 

 theoretical methods of dealing with the hull vibration problem. The 

 calculations made for this study are presented here in more detail 

 than was permissible in other publications on this subject. 



66 



