2440 



Mechanical Action of Vibrations 



2440 



Hydrokinetic symmetry. I/armor, J. QJ. 



Mth. 20 (1885) 261-. 

 Hydrostatics of coal washing. Stutz, S. Am. 



I. Mn. E. T. 9 (*1881) 461-. 

 Impact of two spheres, one floating in fluid. 



Zukovskij, N. N. Bs. S. Nt. Mm. (Mth.) 



5 (1884) 43- ; Fschr. Ps. (1884) (Ab. 1) 323. 

 Integrability of differential equations, new case. 



Liapunov, A. M. Kharkov Mth. S. Com. 



4 (1895) 81-; Fschr. Mth. (1893-94) 1501. 

 Integrable cases. Lejeune-Dirichlet, G. Berl. 



B. (1852) 12-. 



discovered by Steklov and Liapunov. 

 Hotter, F. Berl. Ak. Sb. (1900) 79-. 



Inverses of ellipsoids of revolution, potential 

 theorems on. Basset, A. B. QJ. Mth. 19 

 (1883) 349-. 



MECHANICAL ACTION OF VIBBATIONS. 



(See also Physics 9105.) 



Approach caused by vibration. Guthrie, F. 



[1869] Ph. Mg. 39 (1870) 309 ; 40 (1870) 



345-. 



. Challis, J. Ph. Mg. 41 (1871) 279-. 



. Thomson, (Sir) W. Ph. Mg. 



41 (1871) 423-. 

 Attraction and repulsion between bodies moving 



in water. Schtitz, 0. E. Gott. Nr. (1877) 



291-. 

 . Bjerknes, C. A. 



Gott. Nr. (1877) 310-. 

 vibrating in fluids. Berson, G. 



Toul. Ac. Sc. Mm. 5 (1893) 406-. 

 due to vibration. Thomson, (Sir) W. 



[1870] Glasg. Ph. S. P. 7 (1871) 401-. 

 of vibrating bodies. Provenzali, F. S. 



[1882] Em. N. Line. At. 36 (1883) 9-. 

 Forces on resonators due to waves: hydro- 

 dynamic resonators. Lebedew, P. A. Ps. 



C. 59 (1896) 116-. 



Motion of small sphere in undulating elastic 

 fluid. Challis, J. Ph. Mg. 31 (1866) 343-. 



vibrating elastic medium. 

 Challis, J. [1841] Camb. Ph. S. T. 7 (1842) 

 333-. 



vibrating in resisting medium. 

 Challis, J. Ph. Mg. 17 (1840) 462-. 



(Challis). Airy.G.B. 



Ph. Mg. 17 (*1840) 481-. 

 (Airy). Challis, J. Ph. 



Mg. 18 (1841) 130-. 

 (Challis). Airy, G. B. 



Ph. Mg. 18(1841)321-. 

 (Airy). Challis, J. 



Ph. Mg. 19 (1841) 63-. 

 (Challis). Airy, G. B. 



Ph. Mg. 19 (1841) 143-. 

 (Airy). Challis, J. 



Ph. Mg. 19 (1841) 229-. 

 spheres, 2, in fluid. Hicks, W. M. [1879] 



Phil. Trans. 171 (1881) 455-. 

 in incompressible fluid. Bjerknes, 



C. A. [1868] Sk. Nf. F. 10 (1869) 205-. 

 Oscillations and vibrations of bodies used as 



means of propulsion. Ciotti, E. Ae"r. 11 



(1878) 20-, 87-. 



Pulsating bodies in liquids, imitation of mag- 

 netic and electric forces by. Bjerknes, C. A. 

 C. E. 89 (1879) 144-. 



spheres in fluid. Bjerknes, C. A. (vi Adds.) 

 Christiania F. (1863) 13-; (rx) (1875) 386-; 

 Epm. Mth. (1877) 264-; Gott. Nr. (1876) 

 245- ; C. E. 84 (1877) 1222-, 1309-, 1375-, 

 1446, 1493-. 



(Bjerknes). Schwedoff, T. Par. S. 



Ps. Se. (1880) 16-. 

 ,2. Hicks, W. M. [1879-80] Camb. 



Ph. S. P. 3 (1880) 276-, 387 ; 4 (1883) 29-. 

 , . Selby, A. L. Ph. Mg. 29 



(1890) 113-. 



, motion, Bjerknes's problem. 

 Zukovskij, N. E. Mosc. S. Sc. Bll. 92 

 (No. 2) (1896) 25- ; Fschr. Mth. (1895) 887-. 



Pulsations of spheres in elastic medium. Leahy, 

 A. H. Camb. Ph. S. T. 14 (1889) 45-. 



Vibrating bodies in fluid media, reciprocal 

 actions. Berson, , & Juppont, . C. E. 

 117 (1893) 724-. 



Motion in infinite fluid. Marcolongo, E. G. 



Teix. J. Sc. 12 (1895) 161-. 

 . Padova, E. Yen. I. At. (1894- 



95) 1151-. 

 . Trevisan, E. N. Cim. 2 (1895) 



175-. 

 . Liouville, E. C. E. 123 (1896) 



874-. 

 . Stekloff, W. C. E. 123 (1896) 



1252-. 



. Liouville, E. C. E. 124 (1897) 72-. 



. Greenhill, A. G. Am. J. Mth. 



20 (1898) 1-. 

 , equations. Maltezos, C. C. E. 



117 (1893) 337-. 



of infinite fluid about spherical bowl. 

 Basset, A. B. L. Mth. S. P. 16 (1884-85) 

 286-. 



in perfect fluid, failure of some mathematical 

 solutions. Gu-yther, E. F. [1881] Manch. 

 Lt. Ph. S. P. 21 (1882) 9-. 



Paradox of d'Alembert, apparent null resistance 

 of perfect fluids, solution. [Barre de] Saint- 

 Venant, . Par. S. Phlm. PV. (1846) 25-. 



Dubuat. Zukovskij, N. E. Mosc. S. Sc. 



Bll. 73 (No. 1) (1891) 21- ; Fschr. Ps. (1891) 

 (Ab. 1) 253-. 



, resistance to cylinder. Avanzini, G. Pa- 

 dova Mm. Ac. (1809) 289-. 



Particle dropped into water. Collignon, E. 

 As. Fr. C. E. (1890) (Pt. 2) 100-. 



Particles, small. Quincke, G. D. Nf. Vh. 

 (1898) (Th. 2, Halfte 1) 26-. 



Piston and air in cylinder. Stokes, G. G. 

 Camb. Mth. J. 4 (1845) 28-. 



Plane discs rotating in running water, position 

 assumed by. Hagen, G. H. L. Berl. Ak. 

 Ab. (1878) (Mth.) 19-. 



water-lines in two dimensions. Eankine, 

 W. J. M. [1863] (vni) Phil. Trans. 154 

 (1864) 369-. 



Pressure exerted by bodies immersed in water. 

 Bergsma, P. A. Batav. Ntk. Ts. 31 (1870) 



176 



