The Experts below are selected from a list of 4896 Experts worldwide ranked by ideXlab platform

Atusi Tani - One of the best experts on this subject based on the ideXlab platform.

Baruch Karp - One of the best experts on this subject based on the ideXlab platform.

  • Dynamic equivalence, self-equilibrated excitation and Saint-Venant’s principle for an Elastic Strip
    International Journal of Solids and Structures, 2009
    Co-Authors: Baruch Karp
    Abstract:

    Abstract The distinction between the near and far-fields for a semi-infinite, Elastic Strip has been exploited to derive conditions under which different dynamic excitations can be considered as equivalent. These different excitations are equivalent in the sense that they produce the same displacement field far from the excited end. It is shown that dynamically equivalent excitations degenerate to statically equivalent loads in the limit of a vanishing frequency. The no-radiation condition is derived, and its relation to self-equilibrated, dynamic and static loads is presented. Dynamically equivalent excitations are utilized to formulate a dynamic version of Saint-Venant’s principle for symmetric excitations with frequencies below the first cut-off frequency of a Strip. It has been shown that the requirement of self-equilibrium of a load for the decay of end effects for static fields can be deduced from the requirement of zero average power for the dynamic fields.

  • dynamic equivalence self equilibrated excitation and saint venant s principle for an Elastic Strip
    International Journal of Solids and Structures, 2009
    Co-Authors: Baruch Karp
    Abstract:

    Abstract The distinction between the near and far-fields for a semi-infinite, Elastic Strip has been exploited to derive conditions under which different dynamic excitations can be considered as equivalent. These different excitations are equivalent in the sense that they produce the same displacement field far from the excited end. It is shown that dynamically equivalent excitations degenerate to statically equivalent loads in the limit of a vanishing frequency. The no-radiation condition is derived, and its relation to self-equilibrated, dynamic and static loads is presented. Dynamically equivalent excitations are utilized to formulate a dynamic version of Saint-Venant’s principle for symmetric excitations with frequencies below the first cut-off frequency of a Strip. It has been shown that the requirement of self-equilibrium of a load for the decay of end effects for static fields can be deduced from the requirement of zero average power for the dynamic fields.

Julius Kaplunov - One of the best experts on this subject based on the ideXlab platform.

  • Eigenvalue of a semi-infinite Elastic Strip
    Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2006
    Co-Authors: V. Zernov, A. V. Pichugin, Julius Kaplunov
    Abstract:

    A semi-infinite Elastic Strip, subjected to traction free boundary conditions, is studied in the context of in-plane stationary vibrations. By using normal (Rayleigh–Lamb) mode expansion the problem of existence of the Strip eigenmode is reformulated in terms of the linear dependence within infinite system of normal modes. The concept of Gram’s determinant is used to introduce a generalized criterion of linear dependence, which is valid for infinite systems of modes and complex frequencies. Using this criterion, it is demonstrated numerically that in addition to the edge resonance for the Poisson ratio nZ0, there exists another value of nz0.22475 associated with an undamped resonance. This resonance is best explained physically by the orthogonality between the edge mode

  • Radiation conditions for a semi-infinite Elastic Strip
    Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2005
    Co-Authors: E. Babenkova, Julius Kaplunov
    Abstract:

    High-frequency vibrations of a semi-infinite Elastic Strip with traction-free faces are considered. The conditions on end data that are derived do not allow non-radiating in Sommerfeld's sense of polynomial modes at thickness resonance frequencies. These represent a high-frequency analogue of the well-known decay conditions in statics that agree with the classical Saint-Venant principle. The proposed radiation conditions are applied to the construction of boundary conditions in the theories of high-frequency long-wave vibrations describing slow-varying motions in the vicinity of thickness resonance frequencies. The derivation is based on the Laplace transform technique along with the asymptotic methodology that is typical for thin plates and shells.

  • Low–frequency decay conditions for a semi–infinite Elastic Strip
    Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2004
    Co-Authors: E. Babenkova, Julius Kaplunov
    Abstract:

    In this paper we investigate in–plane harmonic vibrations of a semi–infinite Elastic Strip with prescribed edge stresses. Low–frequency decay conditions are established demonstrating the deviation from the classical Saint–Venant principle in quadratic terms in frequency. In the case of the symmetric motion (Strip extension), the proposed correction is expressed explicitly in terms of given end data, whereas for the antisymmetric motion (Strip bending) this also involves unknown edge displacements. Further applications are defined including those related to dynamic analysis of plates and shells excited by statically self–equilibrated edge loads. The derivation is based on a perturbation approach using the Laplace transform technique. We also address methodological aspects dealing with a continuous eigenspectrum and the two–parametric nature of the problem.

George G. Adams - One of the best experts on this subject based on the ideXlab platform.

  • An Elastic Strip moving across a rigid step
    International Journal of Solids and Structures, 2003
    Co-Authors: George G. Adams
    Abstract:

    Abstract An infinite Elastic Strip moves at constant speed across a frictionless rigid foundation possessing a step discontinuity. Transform methods are used to reduce the mixed boundary value problem to a system of singular integral equations. For a range of step height and Strip speed, the noncontact regions, lower boundary displacements, and foundation contact pressures are determined. The results show that different types of solutions exist for given combinations of speed and height. The solution for the corresponding problem of a stationary Strip are also given.

  • Steady solutions for a moving load on an Elastic Strip resting on an Elastic half plane
    International Journal of Solids and Structures, 2003
    Co-Authors: George G. Adams
    Abstract:

    Abstract An infinite Elastic Strip rests under gravity on a smooth Elastic half plane. The Strip is loaded by a steadily moving concentrated force which produces a partial separation of the layer from the foundation. Using the plane strain theory of Elasticity, the resulting nonsymmetric mixed boundary value problem is reduced to singular integral equations over the unknown noncontact regions. For various material combinations and a range of force and speed, the location of the noncontact regions, the lower boundary displacements, and the foundation contact pressure are computed. Results for the corresponding problem with a stationary load are also given.

  • Crack interaction in an infinite Elastic Strip
    International Journal of Engineering Science, 2003
    Co-Authors: George G. Adams
    Abstract:

    Abstract The problem considers an arbitrary number of colinear and unequal size Griffith cracks opened by a non-uniform internal pressure in an infinite Elastic Strip. The cracks are located halfway between and parallel to the surfaces of the 2-dimensional medium. By appropriate integral transformations the mixed boundary value problem is reduced to singular integral equations. The stress intensity factors, crack openings and crack energies are then determined for many different cases.

  • A steadily moving load on an Elastic Strip resting on a rigid foundation
    International Journal of Engineering Science, 2003
    Co-Authors: George G. Adams
    Abstract:

    Abstract An infinite Elastic Strip resting on a flat rigid foundation is loaded by a downward directed concentrated force, which moves at constant speed. The resulting non-symmetric mixed boundary value problem is reduced on the basis of the plane strain theory of Elasticity to singular integral equations over the regions of non-contact. With force magnitude and speed as parameters, the location of the non-contact regions, the lower boundary displacements, and foundation contact pressure are computed and illustrated graphically.

  • Moving loads on Elastic Strips with one-sided constraints
    International Journal of Engineering Science, 2003
    Co-Authors: George G. Adams
    Abstract:

    Abstract An infinite Elastic Strip resting on a flat rigid foundation is loaded by an upward directed concentrated force, which moves at constant speed. Using the plane strain theory of Elasticity, we reduce the resulting mixed boundary value problem to a pair of coupled Fredholm integral equations. With force magnitude and speed as parameters, the non-contact length, lower boundary displacement, and foundation contact pressure are computed and illustrated graphically.

Hiromichi Itou - One of the best experts on this subject based on the ideXlab platform.