In the present article the magnetic influence on the free vibrations of a slender bar with characteristics slightly different from those of a uniform one has been discussed. It presents a simple approximate solution to this problem. Moreover the frequency equation has been derived.
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J. W. Strutt (Lord Rayleigh),Theory of Sound, Vol. 1 (Dover Publications, Inc., New York 1945).
J. P. Den Hartog,Mechanical Vibrations (McGraw-Hill Book Co., Inc., New York, 1947).
H. R. Lembeke,Bending and Torsional Vibrations of Rods with Arbitrary Cross-Sections, Ing.-Arch.20 (1952), 91–105.
J. L. Lubkin andY. L. Luke,Frequencies of Longitudinal Vibration for a Slender Rod of Variable Section, J. Appl. Mech.,20 (1953), 173–176.
Chi-Hung Mok andE. A. Murray, Jr.,Free Vibrations of a Slender Bar with Nonuniform Characteristics, Jour. Acoust. Soc. Amer.40, 2 (1966), 384.
D. K. Sinha,Note on Longitudinal Vibration of a Semi-infinite Elastic Bar in a Magnetic Field with a Prescribed Force at one End, Bull. Institut Politechnic, DIN IASI. SERIE NOUA Tomul X (XIV), Fasc. 1–2, (1964).
R. R. Giri,Magnetoelastic Disturbances in a Transversely Isotropic Elastic Cylinder in a Magnetic Field, Gerl. Beitr. zur Geophysik75, Heft 5 (1966), 371–377.
N. C. Das, Arch. Mech. Stos.5, 19 (1967).
B. Chaudhuri,On Magnetoelastic Disturbances in an Aelotropic Elastic Cylinder Placed in a Magnetic Field, Pure Appl. Geophys.71 (1968/III), 90.
B. Chaudhuri,On Disturbances in a Magnetostrictive Transducer of Variable Cross-Section of Certain Type, Gerl. Beitr. zur Geophysik (in the press).
S. Kaliski andJ. Petykiewicz, Proc. Vibr. Probl.2 (1959), 17–35.
B. Chaudhuri,Rayleigh-waves on Cylindrical Surfaces of Aelotropic Elastic Material in a Magnetic Field, Pure Appl. Geophys.72 (1969/I), 122.
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Chaudhuri, B. Longitudinal vibration of a slender bar with nonuniform characteristics in presence of a magnetic field. PAGEOPH 76, 92–99 (1969). https://doi.org/10.1007/BF00877841
- Magnetic Field
- Approximate Solution
- Present Article
- Free Vibration
- Longitudinal Vibration