... 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...

... 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...

... 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...

... 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...

...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...

... 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...

...., 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...

... 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...

... 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 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...

... 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...

... 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...