530 SCIENCE PROGRESS 



Banerji, S., On the Forced Vibrations of a Heterogeneous String, Bull. Calc. 

 Math. Soc, ix, 1919, 43-58. 



Elasticity 



Majumdar, N. K., On the Use of Ritz's Method for Finding the Vibration 

 Frequencies of Heterogeneous Strings ajid Membranes, ibid., x, 1920, 



35-42. 

 Nicholson, J. W., The Lateral Vibrations of Sharply Pointed Bars, Proc. 



Roy. Soc, 97, 1920, 172-81, considers an extension of former work, 



the bars being of the form given by rotating y = Ax" about the axis 



oi X, w = 2. 

 Carothers, S. D., Plain Strain : the Direct Determination of Stress, ibid., 



97, 1920, 110-23. 

 MiCHELSON, A. A., The Laws of Elastico- Viscous Flow, Proc. Nat. Acad. Sci., 



U.S.A., vi, 1920, 122-7, 

 Raman, C. V., On Some Applications of Hertz's Theory of Impact, Phys. 



Rev., XV, 1920, 277-84, deduces a simple formula for the coefficient of 



restitution between a sphere and a thin plate. 

 Raman, C. V., and Banerji, B., On Kaufman's Theory of the Impact of the 



Pianoforte Hammer, Proc. Roy. Soc, 97, 1920, 99-110. 

 Mesnager, M., Solution elementaire de la plaque rectangulaire encastr^e, 



portant une charge uniform6ment r^partie ou concentree en son centre, 



Comptes Rendus, 169, 1919. 1081-3. 

 Huber, M.-T., Sur la generalisation d'un th^oreme de M. Mesnager con- 



cernant le sens des deplacements d'une plaque rectangulaire, ibid., 170, 



1920, 1305-8. 

 AiCHi, K., Forced Vibrations of a Circular Plate, Proc Phys. Math. Soc. Jap., 



1, 1919, 365-77- 

 Iterson, F. K. T. v.. Stresses in Thin Shells of Circular Section, Engineering, 



105, I 91 9. 640-2. 



Cody, W. G., Note on the Theory of Longitudinal Vibrations in Rods having 

 Internal Losses, Phys, Rev., xv, 1920, 146-7. 



Prescott, J., appendix by Carrington, H., The Buckling of Deep Beams 

 (Second Paper), Phil. Mag. (vi), 39, 194-222, extends the work of the 

 first paper, 1918, with experimental verification. 



Mesnager, M., M6thode de determination des tensions existant dans un 

 cylindre circulaire, Comptes Rendus, 169, 1919, 1391-3- 



Knott, C. G., Propagation of Earthquake Waves through the Earth, and 

 Connected Problems, Proc. Roy. Soc Edin., xxxix, 1919, 157-208 ; as 

 the result of a new determination of the laws of propagation of seismic 

 waves, the author concludes that the earth is an elastic solid till about 

 half-way towards the centre; the rigidity then begins to break down, 

 and at about three-fifths of the radius towards the centre the elastic 

 solid gives way to a non-rigid nucleus. 



Rotating Fluids 



Plummer, H. C, On the EUipticities of the Maclaurin Ellipsoids, M.N., 



R.A.S., 80, 1919. 26-33. 

 Veronnet, a., Figures d'^quilibrium d'un liquide en rotation. Ordre de 



succession des figures contigues de bifurcation, Comptes Rendus, 170, 



1920, 1303-5. 

 Humbert, P., Les calculs de G. H. Darwin sur la stability de la figure 



piriforme, ibid., 170, 1920, 38-40, shows that Liapounoff's conclusion 



that the figure is unstable is correct. 

 PiDDUCK, B. F., The Vibration and Stability of a Rotating Cylinder, Proc. 



L.M.S., 1920, 



