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Keywords: Bessel functions
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2012, 79(6): 061015.
Published Online: September 21, 2012
... at the 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
Publisher: ASME
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 check...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. July 2009, 76(4): 041015.
Published Online: April 27, 2009
... c b 2 where J v ( ⋅ ) and Y v ( ⋅ ) are Bessel functions of the first and second kinds, of order v , respectively. Case 2 . A3 P ( ς ) = ( a + b ς ) c , c ≠ − 2 A4 S 1 ( ς ) = ( a + b ς ) 1...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. July 2008, 75(4): 041001.
Published Online: May 9, 2008
... 2008 Bessel functions flow instability rheology slip flow parallel-disk viscometer wall slip slow viscous flow Navier slip law Bessel series The parallel-disk viscometer is employed by rheologists to measure the shear properties of a wide range of fluids. In a typical steady...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. January 2005, 72(1): 129–138.
Published Online: February 1, 2005
... of 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 epicenter...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. July 2003, 70(4): 595–600.
Published Online: August 25, 2003
...., 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. Saff, E. B., and Snider, A. D., 1993, Fundamentals of Complex Analysis for Mathematics, Science...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2002, 69(6): 825–835.
Published Online: October 31, 2002
... publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 20 June 2001 06 Mar 2002 31 10 2002 transient response eigenvalues and eigenfunctions Bessel functions elasticity multilayers wave functions stress analysis boundary-value problems Multilayered...
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. July 2002, 69(4): 552–555.
Published Online: June 20, 2002
... 20 06 2002 damping resonance ageing Bessel functions crack-edge stress field analysis elasticity elastic constants stress analysis Multiple crack problems in plane elasticity were investigated by many investigators ( 1 2 3 ). A doubly periodic crack problem is a particular...
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. May 2002, 69(3): 397–398.
Published Online: May 3, 2002
... JOURNAL OF APPLIED MECHANICS . Manuscript received by the ASME Applied Mechanics Division, May 30, 2001; final revision, September 5, 2001. Associate Editor: N. C. Perkins. 30 May 2001 05 September 2001 03 05 2002 damping resonance ageing Bessel functions classical mechanics...
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. May 2002, 69(3): 394–396.
Published Online: May 3, 2002
... indentation hardness damping crack-edge stress field analysis elastoplasticity stress-strain relations resonance ageing Bessel functions yield strength anisotropic media Measurement of hardness involves loading a hard sphere, cone, or pyramid indenter into the surface of a material...
Journal Articles
Publisher: ASME
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 loads...