The Experts below are selected from a list of 8334 Experts worldwide ranked by ideXlab platform

Kh Tan - One of the best experts on this subject based on the ideXlab platform.

  • A study on the locally high-gradient displacement field resulted from plastic hinges in steel beams
    'SAGE Publications', 2019
    Co-Authors: Xu J, Ck Lee, Kh Tan
    Abstract:

    © The Author(s) 2019. In this study, an investigation on the deformation profiles near the plastic hinge regions of propped cantilever beams is carried out by both experiment and numerical simulation. In the experiment, two series of beams are loaded until two plastic hinges are formed at the loading point and the fixed end. In the numerical simulation, the extended finite element method formulation is employed to simulate the non-smooth displacement field resulted from the plastic hinges. The comparison on the experimental and the numerical results shows that the Hermite Function is able to describe the non-smooth displacement resulted from plastic hinges in the steel beams

  • A study on the locally high-gradient displacement field resulted from plastic hinges in steel beams
    'SAGE Publications', 2019
    Co-Authors: Xu J, Ck Lee, Kh Tan
    Abstract:

    In this study, an investigation on the deformation profiles near the plastic hinge regions of propped cantilever beams is carried out by both experiment and numerical simulation. In the experiment, two series of beams are loaded until two plastic hinges are formed at the loading point and the fixed end. In the numerical simulation, the extended finite element method formulation is employed to simulate the non-smooth displacement field resulted from the plastic hinges. The comparison on the experimental and the numerical results shows that the Hermite Function is able to describe the non-smooth displacement resulted from plastic hinges in the steel beams

Xu J - One of the best experts on this subject based on the ideXlab platform.

  • A study on the locally high-gradient displacement field resulted from plastic hinges in steel beams
    'SAGE Publications', 2019
    Co-Authors: Xu J, Ck Lee, Kh Tan
    Abstract:

    © The Author(s) 2019. In this study, an investigation on the deformation profiles near the plastic hinge regions of propped cantilever beams is carried out by both experiment and numerical simulation. In the experiment, two series of beams are loaded until two plastic hinges are formed at the loading point and the fixed end. In the numerical simulation, the extended finite element method formulation is employed to simulate the non-smooth displacement field resulted from the plastic hinges. The comparison on the experimental and the numerical results shows that the Hermite Function is able to describe the non-smooth displacement resulted from plastic hinges in the steel beams

  • A study on the locally high-gradient displacement field resulted from plastic hinges in steel beams
    'SAGE Publications', 2019
    Co-Authors: Xu J, Ck Lee, Kh Tan
    Abstract:

    In this study, an investigation on the deformation profiles near the plastic hinge regions of propped cantilever beams is carried out by both experiment and numerical simulation. In the experiment, two series of beams are loaded until two plastic hinges are formed at the loading point and the fixed end. In the numerical simulation, the extended finite element method formulation is employed to simulate the non-smooth displacement field resulted from the plastic hinges. The comparison on the experimental and the numerical results shows that the Hermite Function is able to describe the non-smooth displacement resulted from plastic hinges in the steel beams

Krzysztof Stempak - One of the best experts on this subject based on the ideXlab platform.

  • riesz transforms and conjugacy for laguerre Function expansions of Hermite type
    Journal of Functional Analysis, 2007
    Co-Authors: Adam Nowak, Krzysztof Stempak
    Abstract:

    Riesz transforms and conjugate Poisson integrals for multi-dimensional Laguerre Function expansions of Hermite type with index α are defined and investigated. It is proved that for any multi-index α=(α1,…,αd) such that αi⩾−1/2, αi∉(−1/2,1/2), the appropriately defined Riesz transforms Rjα, j=1,2,…,d, are Calderon–Zygmund operators, hence their mapping properties follow from a general theory. Similar mapping results are obtained in one dimension, without excluding α∈(−1/2,1/2), by means of a local Calderon–Zygmund theory and weighted Hardy's inequalities. The conjugate Poisson integrals are shown to satisfy a system of Cauchy–Riemann type equations and to recover the Riesz–Laguerre transforms on the boundary. The two specific values of α, (−1/2,…,−1/2) and (1/2,…,1/2), are distinguished since then a connection with Riesz transforms for multi-dimensional Hermite Function expansions is established.

Ck Lee - One of the best experts on this subject based on the ideXlab platform.

  • A study on the locally high-gradient displacement field resulted from plastic hinges in steel beams
    'SAGE Publications', 2019
    Co-Authors: Xu J, Ck Lee, Kh Tan
    Abstract:

    © The Author(s) 2019. In this study, an investigation on the deformation profiles near the plastic hinge regions of propped cantilever beams is carried out by both experiment and numerical simulation. In the experiment, two series of beams are loaded until two plastic hinges are formed at the loading point and the fixed end. In the numerical simulation, the extended finite element method formulation is employed to simulate the non-smooth displacement field resulted from the plastic hinges. The comparison on the experimental and the numerical results shows that the Hermite Function is able to describe the non-smooth displacement resulted from plastic hinges in the steel beams

  • A study on the locally high-gradient displacement field resulted from plastic hinges in steel beams
    'SAGE Publications', 2019
    Co-Authors: Xu J, Ck Lee, Kh Tan
    Abstract:

    In this study, an investigation on the deformation profiles near the plastic hinge regions of propped cantilever beams is carried out by both experiment and numerical simulation. In the experiment, two series of beams are loaded until two plastic hinges are formed at the loading point and the fixed end. In the numerical simulation, the extended finite element method formulation is employed to simulate the non-smooth displacement field resulted from the plastic hinges. The comparison on the experimental and the numerical results shows that the Hermite Function is able to describe the non-smooth displacement resulted from plastic hinges in the steel beams

Yurii Lyubarskii - One of the best experts on this subject based on the ideXlab platform.

  • Gabor (Super)Frames with Hermite Functions
    2013
    Co-Authors: Karlheinz Gröchenig, Yurii Lyubarskii
    Abstract:

    Abstract. We investigate vector-valued Gabor frames (sometimes called Gabor superframes) based on Hermite Functions Hn. Let h = (H0, H1,..., Hn) be the vector of the first n + 1 Hermite Functions. We give a complete characterization of all lattices Λ ⊆ R 2 such that the Gabor system {e 2πiλ2t h(t − λ1) : λ = (λ1, λ2) ∈ Λ} is a frame for L 2 (R, C n+1). As a corollary we obtain sufficient conditions for a single Hermite Function to generate a Gabor frame and a new estimate for the lower frame bound. The main tools are growth estimates for the Weierstrass σ-Function, a new type of interpolation problem for entire Functions on the Bargmann-Fock space, and structural results about vector-valued Gabor frames. 1

  • Gabor (super)frames with Hermite Functions
    Mathematische Annalen, 2009
    Co-Authors: Karlheinz Gröchenig, Yurii Lyubarskii
    Abstract:

    We investigate vector-valued Gabor frames (sometimes called Gabor superframes) based on Hermite Functions H _ n . Let h = ( H _0, H _1, . . . , H _ n ) be the vector of the first n  + 1 Hermite Functions. We give a complete characterization of all lattices $${\Lambda \subseteq \mathbb{R} ^2}$$ such that the Gabor system $${\{ {\rm e}^{2\pi i \lambda _{2} t}{\bf h} (t-\lambda _1): \lambda = (\lambda _1, \lambda _2) \in \Lambda \}}$$ is a frame for $${L^2 (\mathbb{R} , \mathbb{C} ^{n+1})}$$ . As a corollary we obtain sufficient conditions for a single Hermite Function to generate a Gabor frame and a new estimate for the lower frame bound. The main tools are growth estimates for the Weierstrass σ -Function, a new type of interpolation problem for entire Functions on the Bargmann–Fock space, and structural results about vector-valued Gabor frames.