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Keywords: perturbation theory
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Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2010, 77(2): 021018.
Published Online: December 14, 2009
.... , and Mann , J. E. , Jr. , 1998 , A First Look at Perturbation Theory , 2nd ed. , Dover , Mineola, NY . Niordson , F. I. , 1988 , “ The Spectrum of Free Vibrations of a Thin Elastic Spherical Shell ,” Int. J. Solids Struct. 0020-7683 , 24 , pp. 947 – 961 . 10.1016/0020-7683(88)90043...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2009, 76(1): 011006.
Published Online: October 31, 2008
... flow peristaltic flow perturbation theory pipe flow slip slip condition peristaltic flow third grade fluid trapping In recent years, there has been a growing interest in peristaltic transport. This is perhaps due to the fact that fluid transport through tube by peristaltic motion...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2008, 75(6): 061005.
Published Online: August 15, 2008
.... Stationarity properties are examined based on the perturbation theory. It is shown that Rayleigh quotients with stationary properties exist for systems with proportional viscous and nonviscous damping forces. It is also shown that the stationarity property of Rayleigh quotients in the case of nonproportional...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. July 2008, 75(4): 044502.
Published Online: May 14, 2008
.... 0924-090X , 36 , pp. 255 – 266 . 25 05 2007 22 02 2008 14 05 2008 Fokker-Planck equation perturbation theory Poisson distribution random processes white noise While Gaussian random processes provide efficient models of various environmental actions...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2008, 75(1): 011015.
Published Online: January 14, 2008
... by Isolated Spheroidal Pores ,” Int. J. Fract. 0376-9429 10.1007/s10704-006-8370-9 , 139 , pp. 129 – 136 . 13 02 2007 24 04 2007 14 01 2008 elasticity elastic moduli boundary-elements methods inclusions perturbation theory boundary perturbation rigid inclusions...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2008, 75(1): 011007.
Published Online: January 11, 2008
...) cantilevers vibrations Poisson ratio variational techniques perturbation theory Since the equations for f and g exhibit boundary layer behavior, we split the range of integration into an inner and outer region and employ the “summing a split range of integration” method as described...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2007, 74(5): 1011–1018.
Published Online: January 29, 2007
... viscous flows governed by the Navier–Stokes equations. laminar flow flow instability Navier-Stokes equations rotational flow boundary layers convergence perturbation theory approximation theory friction unsteady Navier–Stokes equation series solution rotating fluid homotopy analysis...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2006, 73(6): 911–922.
Published Online: December 29, 2005
... finite difference methods integration linearisation techniques perturbation theory numerical stability error analysis It is well known that boiling systems may oscillate because of two-phase dynamics and may be unstable under particular conditions. This problem has been widely studied under...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. January 2007, 74(1): 8–12.
Published Online: October 19, 2005
...) surface diffusion stress effects perturbation theory harmonic analysis matrix algebra The shrintage of voids and the sintering of particles are key phenomena in understanding the mechanical behavior of a number of materials. For example, the study of sapphire fibers tested in tension at low...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. July 2005, 72(4): 570–580.
Published Online: October 29, 2004
..., March 8–11, Detroit, MI. 04 11 2003 29 10 2004 perturbation theory friction creep slip belts drives pulleys mechanical contact finite element analysis Belt spans connect the driver and driven belt domains. For excitation periods T = 2 π ∕ ω much longer...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2005, 72(5): 641–647.
Published Online: February 14, 2004
... of the ratio B ∕ A (black B ∕ A = 11 ; gray B ∕ A = 1.25 ; dashed B ∕ A = 0.75 ) 20 06 2003 14 02 2004 gyroscopes perturbation theory electromechanical effects A linear conservative system is considered endowed with all the possible kinds...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. March 2003, 70(2): 299–302.
Published Online: March 27, 2003
... . Manuscript received by the ASME Applied Mechanics Division, Feb. 1, 2001; final revision, Sept. 27, 2002. Associate Editor: A. A. Ferri. 01 Feb 2001 27 Sept 2002 27 03 2003 classical mechanics rotation vibrations perturbation theory Consider a rotating disk/spindle system...
Journal Articles
Publisher: ASME
Article Type: Additional Technical Papers
J. Appl. Mech. January 2003, 70(1): 119–128.
Published Online: January 23, 2003
... exponential rate at which the amplitudes of vibration decay is the localization factor. vibrations iterative methods perturbation theory elastic constants 06 August 2001 03 April 2002 23 01 2003 Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2002, 69(6): 785–789.
Published Online: October 31, 2002
... MECHANICS . 19 September 2001 08 June 2002 31 10 2002 stress analysis Poisson ratio Young's modulus perturbation theory elastic deformation elasticity pressure sensors Silicon-based thin films are frequently used in microelectronics for the measurement of pressure...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2002, 69(5): 580–588.
Published Online: August 16, 2002
... to design new materials having highly favorable properties in certain specific applications ( 1 2 3 4 5 6 ). slip wave propagation creep elastic moduli crack-edge stress field analysis perturbation theory crazing sliding friction 02 Apr 2001 14 Nov 2001 16 08 2002...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. September 2002, 69(5): 708–710.
Published Online: August 16, 2002
... JOURNAL OF APPLIED MECHANICS . Manuscript received by the ASME Applied Mechanics Division, Apr. 18, 2000; final revision, Sept. 26, 2001. Associate Editor: D. A. Siginer. 18 Apr 2000 26 Sept 2001 16 08 2002 damping perturbation theory stability classical mechanics...