Orthonormal Coordinate

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The Experts below are selected from a list of 18 Experts worldwide ranked by ideXlab platform

Peter Goransson - One of the best experts on this subject based on the ideXlab platform.

  • a method for characterisation of the static elastic properties of the porous frame of orthotropic open cell foams
    International Journal of Engineering Science, 2015
    Co-Authors: Christophe Van Der Kelen, Jacques Cuenca, Peter Goransson
    Abstract:

    Abstract This paper proposes a method to identify the static, fully relaxed elastic Hooke’s matrix of a porous open-cell material. The moduli are estimated through an inverse estimation method, by performing a fit of a numerical model on the measured displacements on the faces of the porous material. These displacements are obtained from a static compression along each of the three Coordinate axes. The material is modelled as an orthotropic equivalent solid, of which the principal directions are not necessarily aligned with the Orthonormal Coordinate system in which the experiments are conducted. The angles of relative orientation accounting for the misalignment are among the properties to be estimated. The focus in this paper is on the methodology itself, and its validity is verified by applying the method to four artificial materials with different levels of anisotropy. In addition, the robustness of the method to perturbations on the input data is investigated.

V Staudt - One of the best experts on this subject based on the ideXlab platform.

  • hyper space vectors a new four quantity extension of space vector theory
    European Transactions on Electrical Power, 2007
    Co-Authors: M Depenbrock, V Staudt
    Abstract:

    The space-vector theory, which allows to describe three linearly dependent quantities (e. g. three voltages or three currents) using only two linearly independent quantities represented in an Orthonormal Coordinate system, is widely used in the fields of AC machine theory, power definitions and active filtering. It can be used very effectively in case of circuits with only three terminal Problems occur in case of four terminals, when four linearly dependent quantities (e. g. four currents, the sum of which is always zero) exist. In this ease a zero-sequence quantity can be additionally introduced, which has to be treated separately with special equations. Vector operations like cross product or dot product, which are very useful to calculate e. g. power quantities, can no longer be used in the general case. This paper presents a method transforming any system represented by four linearly dependent quantities or by three linearly independent quantities into a three-dimensional Orthonormal Coordinate system. All four members of a set of linearly dependent quantities are treated equally. We suggest to call this representation Hyper Space Vector (HSV). A lot of vector operations can he applied without problems to HSV, making calculations much easier and more graphic.

Christophe Van Der Kelen - One of the best experts on this subject based on the ideXlab platform.

  • a method for characterisation of the static elastic properties of the porous frame of orthotropic open cell foams
    International Journal of Engineering Science, 2015
    Co-Authors: Christophe Van Der Kelen, Jacques Cuenca, Peter Goransson
    Abstract:

    Abstract This paper proposes a method to identify the static, fully relaxed elastic Hooke’s matrix of a porous open-cell material. The moduli are estimated through an inverse estimation method, by performing a fit of a numerical model on the measured displacements on the faces of the porous material. These displacements are obtained from a static compression along each of the three Coordinate axes. The material is modelled as an orthotropic equivalent solid, of which the principal directions are not necessarily aligned with the Orthonormal Coordinate system in which the experiments are conducted. The angles of relative orientation accounting for the misalignment are among the properties to be estimated. The focus in this paper is on the methodology itself, and its validity is verified by applying the method to four artificial materials with different levels of anisotropy. In addition, the robustness of the method to perturbations on the input data is investigated.

M Depenbrock - One of the best experts on this subject based on the ideXlab platform.

  • hyper space vectors a new four quantity extension of space vector theory
    European Transactions on Electrical Power, 2007
    Co-Authors: M Depenbrock, V Staudt
    Abstract:

    The space-vector theory, which allows to describe three linearly dependent quantities (e. g. three voltages or three currents) using only two linearly independent quantities represented in an Orthonormal Coordinate system, is widely used in the fields of AC machine theory, power definitions and active filtering. It can be used very effectively in case of circuits with only three terminal Problems occur in case of four terminals, when four linearly dependent quantities (e. g. four currents, the sum of which is always zero) exist. In this ease a zero-sequence quantity can be additionally introduced, which has to be treated separately with special equations. Vector operations like cross product or dot product, which are very useful to calculate e. g. power quantities, can no longer be used in the general case. This paper presents a method transforming any system represented by four linearly dependent quantities or by three linearly independent quantities into a three-dimensional Orthonormal Coordinate system. All four members of a set of linearly dependent quantities are treated equally. We suggest to call this representation Hyper Space Vector (HSV). A lot of vector operations can he applied without problems to HSV, making calculations much easier and more graphic.

Jacques Cuenca - One of the best experts on this subject based on the ideXlab platform.

  • a method for characterisation of the static elastic properties of the porous frame of orthotropic open cell foams
    International Journal of Engineering Science, 2015
    Co-Authors: Christophe Van Der Kelen, Jacques Cuenca, Peter Goransson
    Abstract:

    Abstract This paper proposes a method to identify the static, fully relaxed elastic Hooke’s matrix of a porous open-cell material. The moduli are estimated through an inverse estimation method, by performing a fit of a numerical model on the measured displacements on the faces of the porous material. These displacements are obtained from a static compression along each of the three Coordinate axes. The material is modelled as an orthotropic equivalent solid, of which the principal directions are not necessarily aligned with the Orthonormal Coordinate system in which the experiments are conducted. The angles of relative orientation accounting for the misalignment are among the properties to be estimated. The focus in this paper is on the methodology itself, and its validity is verified by applying the method to four artificial materials with different levels of anisotropy. In addition, the robustness of the method to perturbations on the input data is investigated.