On the non-linear vibration of elastic bars

Author:
A. Cemal Eringen

Journal:
Quart. Appl. Math. **9** (1952), 361-369

MSC:
Primary 73.2X

DOI:
https://doi.org/10.1090/qam/43694

MathSciNet review:
43694

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References | Similar Articles | Additional Information

**[1]**S. Woinowsky-Krieger,*The effect of an axial force on the vibrations of hinged bars*. J. Appl. Mech.**17**, 35-36 (1950). MR**0034202****[2]**N. J. Hoff,*The dynamics of the buckling of elastic columns*. Paper presented at the 16th Meeting of the American Society of Mechanical Engineers, June 22-24, 1950. MR**0047506****[3]**G. F. Carrier,*On the non-linear vibration problem of the elastic string*, Q. Appl. Math.**3**, 157-165 (1945). MR**0012351****[4]**G. F. Carrier,*A note on the vibrating string*, Q. Appl. Math.**7**, 97-101 (1949). MR**0028511****[5]**E. T. Wittaker and G. N. Watson,*A course of modern analysis*, Cambridge University Press, 1944, pp. 479-480, p. 573.**[6]**Edwin P. Adams and R. L. Hippisley,*Smithsonian mathematical formulae and tables of elliptic functions*, Smithsonian Institution, 1947.**[7]**J. J. Stoker,*Non-linear vibrations*, Interscience Publishers, 1950, p. 205.

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DOI:
https://doi.org/10.1090/qam/43694

Article copyright:
© Copyright 1952
American Mathematical Society