... 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...

... 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...

... 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...

... 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...

...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...

... 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-thickness slabs with the temperature varying through the thickness have...

... polynomials angular velocity gyroscopes rotation mechanical stability For an n degree-of-freedom gyroscopic system the process of evaluating the stability boundaries associated with the multiple eigenvalue λ = 0 requires via Proposition 5 solving a generalized eigenvalue problem...

... JOURNAL OF APPLIED MECHANICS . 07 September 2000 05 June 2001 11 06 2003 polynomials Chebyshev approximation partial differential equations laminates stress analysis elastic constants elasticity Shells have been widely applied to many engineering structural elements...

...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...

... 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...

...Y. Narita vibrations anisotropic media convergence polynomials Although the main idea of the paper is an introduction of the Polya counting theory to an engineering counting problem that may be encountered in applied mechanics, this author equally appreciates the interest shown...

...-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...