3220 Vibrations 



Elastic Deformation 



Rods 3220 



Composition of vibrations. Mach, E. Wien 



SB. 47 (1863) (Ab. 2) 33-. 

 Cylinders, infinite isotropic, small vibrations, 



velocity of transmission. Pochhammer, L. 



Crelle J. Mth. 81 (1876) 324-. 

 , solid and hollow, longitudinal vibrations. 



Chree, C. [1898] L. Ps. S. P. 16 (1899) 



304- ; Ph. Mg. 47 (1899) 333-. 

 Cylindrical shell, infinitely long, free vibra- 

 tions. Rayleigh, (Lord). B. S. P. 45 (1889) 



443-. 

 , radical vibrations. Basset, A. B. [1889] 



L. Mth. S. P. 21 (1891) 53-. 



vessel containing liquid. Rayleigh, (Lord). 

 Ph. Mg. 15 (1883) 385-. 



Damping in perfectly elastic media. Podlaski, 



L. Prace Mt.-Fiz. 9 (1898) 46-. 

 Determination, experiments. Felici, E. N. 



Cim. 26 (*1867) 255-. 

 Disks, crystalline, transverse vibrations. Sund- 



berg, E. Stockh. Ofv. (1885) No. 5, 77-; 



Fschr. Mth. (1885) 965. 

 Elasticity and vibrations. Barre de Saint- 



Venant, . L'l. 23 (1855) 440-. 

 Engine foundations. Whitcher, J. Elect. Bv. 



39 (1896) 68-, 102-. 

 Equations. O'Brien, M. [1847] Camb. Ph. 



S. T. 8 (1849) 508-. 



in curvilinear coordinates. Tedone,O. Tor. 

 Ac. Sc. At. 35 (1900) 302- or 460-. 



, general. Stefan, J. Pogg. A. 102 (1857) 



365-. 

 , integral. Duhem, P. Bordeaux S. Sc. 



Mm. 3 (1899) 317-. 

 , , for strings or rods. Osorio, R. G. 



Coimbra I. 3 (1855) 59-, 105- ; 5 (1857) 



213-. 

 Forms. Chree, C. Edinb. Mth. S. P. 4 (1886) 



65-. 

 Free vibrations of structures, harmonic 



analysers for periods. Reynolds, 0. Manch. 



Lt. Ph. S. Mm. & P. 4 (1891) 223-. 

 Friction as cause. Duhamel, J. M. C. C. B. 



42 (1856) 973-. 

 General expressions for vibrations. Somigliana, 



C. Em. B. Ac. Line. Ed. 1 (1892) (Sem. 2) 



theory illustrated by earthquakes and earth- 

 quake sounds. Knott, C. G. Jap. Seism. 

 S. T. 12 (1888) 115-. 



Infinite medium outside solid body. Brillouin, 



M. C. B. 117 (1893) 94-. 

 Isochronous vibration, elementary solution of 



dynamical problem. Reynolds, 0. [1882] 



Manch. Lt. Ph. S. P. 22 (1883) 38-. 

 , (Beynolds). Rawson, R. 



Manch. Lt. Ph. S. P. 22 (1883) 51-. 

 Isotropic medium, general form of law. Mer- 



cadier, E. C. B. 115 (1892) 1264-. 



solids of nearly spherical form. Chree, C. 

 Am. J. Mth. 16 (1894) 299-; 19 (1897) 

 121-. 



Lateral vibrations, period equation. Greenhill, 

 A. G. Mess. Mth. 16 (1887) 115-. 



Light, differential equations. Brill, A. [1868] 

 Mth. A. 1 (1869) 225-. 



Longitudinal vibrations of cylinders and 



prisms. Peyre, J. M. M. Seine-et-Oise 



Mm. (1835) 27-. 

 Maintained vibrations. Rayleigh, (Lord). Ph. 



Mg. 15 (1883) 229-. 

 Mutual action of oscillatory twists in elastic 



medium, application to vibratory theory of 



electricity. Leahy, A. H. [1885] Camb. 



Ph. S. T. 14 (1889) 188-. 

 Pendulum observations, correction for elasticity. 



Pizzetti, P. N. Cim. 8 (1898) 215-. 

 _ _, . Almansi, E. ' N. Cim. 9 



(1899) 260- ; 10 (1899) 85-, 305-. 

 Plates, circular. Resal, H. A. Mines 2 (1872) 



226-. 

 , . Mercadier, E. J. de Ps. 4 (1885) 



541-. 

 , clamped. Lauricella, G. N. Cim. 4 (1896) 



134-. 

 , infinite, free vibrations. Rayleigh, (Lord). 



L. Mth. S. P. 20 (1889) 225-. 

 , , propagation of transverse motion. 



Boussinesq, J. C. E. 108 (1889) 639-. 



and rods, experiments. Baudrimont, A. 

 A. C. 32 (1851) 288-. 



Polyhedric concamerations. Perry, G. C. B. 



76 (1873) 721-. 

 Bings. Love, A. E. H. L. Mth. S. P. 24 



(1893) 118-. 

 , integration of equations. Bulgakov, N. 



Es. Ps.-C. S. J. 31 (Ps.) (1899) 103-, 143- ; 



Fschr. Ps. (1899) (Ab. 1) 477. 



RODS. 



Seebeck, A. Leip. Ab. Mth. Ps. 1 (1852) 131-. 

 longitudinal vibrations. Stefan, J. Wien Sb. 



55 (1867) (Ab. 2) 597-. 

 . Hugoniot, , & Sebert, H. C. E. 95 



(1882) 213-, 278-, 338-, 381-, 775-. 



. Chree, C. QJ. Mth. 21 (1886) 287-; 



23 (1889) 317-. 



. Jager, G. Wien Ak. Sb. 109 (1900) 



(Ab. 2a) 81-. 

 of fflolotropic bars. Chree, C. QJ. Mth. 



24 (1890) 340-. 



rods, compound. Obermann, J. Arch. 



Mth. Ps. 55 (1873) 22-. 

 and strings. Chladni, E. F. F. 



Voigt Mg. 1 (1797) 7-. 



wires, terminally loaded. 

 Navier, C. L. M. H. Par. S. Phlm. Bll. 

 (1823) 73- 



thin elastic, and beams, motion. Riihrs, J. H. 



[1860] Camb. Ph. S. T. 10 (1864) 359-. 

 , equilibrium and motion. Kirchhoff, G. 



Crelle J. 56 (1859) 285-. 

 torsional vibrations. Chladni, E. F. F. Berl. 



Gs. Nt. Fr. N. Schr. 2 (1799) 274-. 

 . Cauchy, A. L. Par. Mm. Ac. Sc. 9 



(1830) 119-. 

 . Barre de Saint- Venant, . C. B. 28 



(1849) 69-. 



. Wertheim, G. C. E. 28 (1849) 126-. 



transverse vibrations. Stefan, J. Wien SB. 



32 (1858) 207-. 

 (Stefan). Lang, V. von. Wien SB. 34 



(1859) 63-. 



268 



