... perturbation theory shells (structures) vibrations 22 05 2009 08 06 2009 14 12 2009 14 12 2009 2010 American Society of Mechanical Engineers ...

... where the frequency equation is not explicit. 22 05 2009 08 06 2009 14 12 2009 14 12 2009 elasticity perturbation theory Poisson ratio shells (structures) vibrations Young's modulus (In what follows, equation numbers in Ref. 1 will be preceded by the Roman...

..., and assumptions of the Reynolds number, wavelength parameter, and wave amplitude parameter. slip condition peristaltic flow third grade fluid trapping non-Newtonian flow peristaltic flow perturbation theory pipe flow slip 12 12 2007 29 08 2008 31 10 2008 2009...

.... 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...

... 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, for a broader class of random excitations, such as random pulse trains...

... boundary-elements methods inclusions perturbation theory 13 02 2007 24 04 2007 14 01 2008 2008 American Society of Mechanical Engineers ...

... ( z n L ) 2 1 1 − ν 2 = ω f ∞ 1 − ν 2 15 08 2006 24 04 2007 11 01 2008 plates (structures) cantilevers vibrations Poisson ratio variational techniques perturbation theory Cantilever plates form the basis...

.... unsteady Navier–Stokes equation series solution rotating fluid homotopy analysis method laminar flow flow instability Navier-Stokes equations rotational flow boundary layers convergence perturbation theory approximation theory friction 08 09 2006 29 01 2007 Email...

... differential equations finite difference methods integration linearisation techniques perturbation theory numerical stability error analysis 2006 American Society of Mechanical Engineers ...

... 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 loading rate and elevated temperature...

... World Congress, Paper 04B–174, 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 drives are widely used to transmit power between machine elements. Common...

... 2004 non-Newtonian fluids flow instability elasticity perturbation theory Flow in a cylindrical cavity driven by rotating finite shrouded disks is interesting both from theoretical and technological points of view. Theoretically it provides a good test to pass for constitutive...

... 2003 14 02 2004 gyroscopes perturbation theory electromechanical effects A linear conservative system is considered endowed with all the possible kinds of coupling between its degrees of freedom: elastic, gyroscopic, and inertial. The associated eigenvalue problem is parametrized...

...X.-F. Li; K. Y. Lee 05 01 2004 piezoceramics crack-edge stress field analysis perturbation theory In studying crack problems in a piezoelectric material, many crack models have been proposed and some fracture criteria have been established. The author of 1 presented a new...

... . 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...

... 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...

... of Sheplak and Dugunji 2 . stress analysis Poisson ratio Young's modulus perturbation theory elastic deformation elasticity pressure sensors 2002 ASME ...

... loaded by a sliding rigid circular stamp are presented. slip wave propagation creep elastic moduli crack-edge stress field analysis perturbation theory crazing sliding friction Graded materials, also known as functionally graded materials (FGMs) are generally multiphase composites...

... of laminated composite materials. glass fibre reinforced plastics stress analysis thermal stresses temperature distribution laminates partial differential equations composite material interfaces thermoelasticity viscoelasticity eigenvalues and eigenfunctions shear strength perturbation theory...

... 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...