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Keywords: polynomials
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Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2011, 78(6): 061022.
Published Online: September 30, 2011
... derived from the system of three-dimensional dynamical equations of linear thermoelasticity. The asymptotic operator plate model for extensional motion in a homogeneous transversely isotropic thermoelastic plate leads to sixth degree polynomial secular equation that governs frequency and phase velocity...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2010, 77(3): 031008.
Published Online: February 8, 2010
... are relaxation times and creep times. This theory differs from the classical polynomial constitutive equations for linear viscoelasticity. It is a special case of Rabotnov’s equations and Torvik and Bagley’s fractional calculus polynomial equations, but it imposes symmetry conditions on the stress and strain...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2009, 76(4): 041015.
Published Online: April 27, 2009
... problem of nonuniform columns with variable flexural stiffness and under distributed variable axial loading expressed in terms of polynomial functions. Then, more complicated buckling problems are considered such as that the distribution of flexural stiffness of a nonuniform column is an arbitrary...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. September 2007, 74(5): 885–897.
Published Online: November 3, 2006
... accuracy. Although the Girsanov linearization method is applicable to a large class of oscillators, including those with nondifferentiable vector fields, the method is presently illustrated through applications to a few single- and multi-degree-of-freedom oscillators with polynomial nonlinearity. 10...
Journal Articles
Article Type: Technical Briefs
J. Appl. Mech. March 2007, 74(2): 373–374.
Published Online: January 20, 2006
...Guanghui Fu Hertz’s theory, developed in 1881, remains the foundation for the analysis of most contact problems. In this paper, we consider the axisymmetric normal contact of two elastic bodies, and the body profiles are described by polynomial functions of integer and noninteger positive powers...
Journal Articles
Article Type: Brief Notes
J. Appl. Mech. September 2003, 70(5): 779–782.
Published Online: October 10, 2003
..., Mar. 31, 2003. Associate Editor: J. R. Barber. 16 Sep 2002 31 Mar 2003 10 10 2003 thermal stresses thermal shock stress analysis temperature distribution polynomials reviews failure (mechanical) A number of studies on the thermal shock behavior of finite...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. July 2003, 70(4): 561–567.
Published Online: August 25, 2003
... polynomials angular velocity gyroscopes rotation mechanical stability Parker , R. J. , 1998 , “ On the Eigenvalues and Critical Speed Stability of Gyroscopic Continua ,” ASME J. Appl. Mech. , 65 , pp. 134 – 140 . Ahmadian , M. , and Inman , D. J. , 1986 , “ Some Stability...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. May 2003, 70(3): 391–403.
Published Online: June 11, 2003
... 2 − Y 1 . Equation ( 49 ) can be derived by linear transformation in order to satisfy that the variables in Chebyshev polynomials within the interval [ − 1 , 1 ] . Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. September 2002, 69(5): 593–601.
Published Online: August 16, 2002
...M. Rahman, Mem. ASME We consider the problem of determining the elastic field in an infinite elastic solid induced by an ellipsoidal inclusion with a distribution of eigenstrains. The particular type of distribution considered in the article is characterized by a polynomial in the Cartesian...
Topics: Polynomials
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. March 2002, 69(2): 154–160.
Published Online: October 25, 2001
... integral equations are removed by transforming the domain integrals to the boundary. Other weakly singular domain integrals are transformed to the boundary by approximating the initial stresses with radial basis functions combined with polynomials in global coordinates. Three numerical examples...
Journal Articles
Article Type: Discussions
J. Appl. Mech. July 2001, 68(4): 685–686.
Published Online: July 1, 2001
... of Anisotropic Plates,” J. Sound Vib., 170 , pp. 140–144. Narita, Y., 1995, “Series and Ritz-Type Buckling Analysis,” Buckling and Postbuckling of Composite Plates , G. J. Turvey and I. H. Marshall, eds., Chapman and Hall, London, p. 56. In summary, the Ritz method with modified polynomials...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. June 2000, 67(2): 314–320.
Published Online: October 21, 1999
...-dimensional polynomial series are employed to approximate the spatial displacements of the conical shell panels in three dimension. The perturbation of frequency responses due to the variations of relative thickness L / h , slanted length L / S , vertex angle γ v , and subtended angle γ o is investigated...