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Keywords: Bessel functions
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Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2012, 79(6): 061015.
Published Online: September 21, 2012
... free end and at the junction between segments, is first considered in detail for it “contains all the germs of generality”. It is shown that the governing differential equations can be integrated in terms of confluent hypergeometric functions or Bessel functions (themselves special cases of confluent...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. September 2010, 77(5): 051502.
Published Online: May 21, 2010
... and supersonic by solving the Laplace equation and the Bessel function of imaginary argument, and analyze the phenomena of wrap-around fin rolling moment generation at angle of attack zero, and discuss the reason. The flow field of a projectile with wrap-around fins is solved by numerical method to...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2009, 76(4): 041015.
Published Online: April 27, 2009
.... N. , 1912 , “ Buckling Under Own Weight ,” Proceedings of the Don Polytechnic Institute , 1 , p. 19 . Dinnik , A. N. , 1955 , “ Selected Papers, Application of Bessel Function to the Theory of Elasticity Problems ,” Ukrainian Academy of Science , 2 , pp. 73 – 87 . Karman...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2008, 75(4): 041001.
Published Online: May 9, 2008
... Introduced by a Popular Method of Processing Parallel-Disk Viscometery Data ,” Appl. Rheol. 1430-6395 , 17 ( 6 ), pp. 66415 ∕1–66415∕ 6 . Bessel functions flow instability rheology slip flow parallel-disk viscometer wall slip slow viscous flow Navier slip law Bessel series...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. November 2007, 74(6): 1247–1251.
Published Online: April 23, 2005
...Jiu Hui Wu; A. Q. Liu; H. L. Chen A novel Bessel function method is proposed to obtain the exact solutions for the free-vibration analysis of rectangular thin plates with three edge conditions: (i) fully simply supported; (ii) fully clamped, and (iii) two opposite edges simply supported and the...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. January 2005, 72(1): 129–138.
Published Online: February 1, 2005
... the space variables. The Rayleigh wave contribution is obtained as a closed-form expression by utilizing asymptotics, complex-variable theory and certain results for Bessel functions. The dependence of the normal displacement associated with the Rayleigh wave upon the distance from the source...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. July 2003, 70(4): 595–600.
Published Online: August 25, 2003
...., 1953, Methods of Theoretical Physics: Part I and II , McGraw-Hill, New York. Eringen, A. C., and Suhubi, E. S., 1975, Elastodynamics, Vol. I and II , Academic Press, New York. Watson, G. N., 1966, A Treatise on the Theory of Bessel functions , 2nd Ed., Cambridge University Press, London...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. November 2002, 69(6): 825–835.
Published Online: October 31, 2002
... eigenvalues and eigenfunctions Bessel functions elasticity multilayers wave functions stress analysis boundary-value problems 1 Geometry and coordinate system of the multilayered cylinder 2 Spatial variations of the radial displacement and the radial and circumferential stress...
Journal Articles
Article Type: Brief Notes
J. Appl. Mech. July 2002, 69(4): 552–555.
Published Online: June 20, 2002
.... G., 1963, Theory of Elasticity of an Anisotropic Body , Holden-Day, San Francisco. damping resonance ageing Bessel functions crack-edge stress field analysis elasticity elastic constants stress analysis 1 An infinite plate with the doubly periodic cracks, ( a ) the cracked...
Journal Articles
Article Type: Brief Notes
J. Appl. Mech. May 2002, 69(3): 397–398.
Published Online: May 3, 2002
...-Hall, Englewood Cliffs, NJ, Section 3.2.2. Hildebrand, F. B., 1976, Advanced Calculus for Applications , 2nd Ed., Prentice-Hall, Englewood Cliffs, NJ. damping resonance ageing Bessel functions classical mechanics elastic constants The classical mass-spring-dashpot model used to...
Journal Articles
Article Type: Brief Notes
J. Appl. Mech. May 2002, 69(3): 394–396.
Published Online: May 3, 2002
... damping crack-edge stress field analysis elastoplasticity stress-strain relations resonance ageing Bessel functions yield strength anisotropic media A recent trend in indentation hardness testing is the use of depth-sensing indentation methods. In depth-sensing indentation, a hardness value...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. September 2000, 67(3): 552–557.
Published Online: January 31, 2000
... with the Drucker-Prager solid. An axially symmetric deformation pattern is assumed prior to bifurcation and only diffuse modes within the elliptic regime are considered. The governing equations are solved analytically in terms of Bessel functions and a search procedure is employed to trace bifurcation...