Online identification of the bilinear model expansion on Laguerre orthonormal bases

2014 ◽  
Vol 87 (3) ◽  
pp. 441-463 ◽  
Author(s):  
Gnaba Sarah ◽  
Tarek Garna ◽  
Kais Bouzrara ◽  
José Ragot ◽  
Hassani Messaoud
Keyword(s):  
Bilinear Model ◽  
Orthonormal Bases ◽  
Online Identification ◽  
Model Expansion

Non‐linear system modelling based on NARX model expansion on Laguerre orthonormal bases

2018 ◽  
Vol 12 (2) ◽  
pp. 228-241 ◽  
Author(s):  
Imen Benabdelwahed ◽  
Abdelkader Mbarek ◽  
Kais Bouzrara ◽  
Tarek Garna
Keyword(s):  
Linear System ◽  
System Modelling ◽  
Orthonormal Bases ◽  
Non Linear ◽  
Non Linear System ◽  
Narx Model ◽  
Model Expansion

Interface-charge-coupled polarization response of Pt-ZnO-BaTiO3-ZnO-Pt heterostructures: Three-layer model expansion

2008 ◽  
Author(s):  
Venkata M. Voora ◽  
Tino Hofmann ◽  
Matthias Brandt ◽  
Michael Lorenz ◽  
Marius Grundmann ◽  
...  
Keyword(s):  
Layer Model ◽  
Interface Charge ◽  
Polarization Response ◽  
Model Expansion

Solving a linear fractional equation with nonlocal boundary conditions based on multiscale orthonormal bases method in the reproducing kernel space

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Wei Jiang ◽  
Zhong Chen ◽  
Ning Hu ◽  
Yali Chen
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Reproducing Kernel ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Kernel Space ◽  
Reproducing Kernel Space ◽  
Orthonormal Bases ◽  
Fractional Differential

AbstractIn recent years, the study of fractional differential equations has become a hot spot. It is more difficult to solve fractional differential equations with nonlocal boundary conditions. In this article, we propose a multiscale orthonormal bases collocation method for linear fractional-order nonlocal boundary value problems. In algorithm construction, the solution is expanded by the multiscale orthonormal bases of a reproducing kernel space. The nonlocal boundary conditions are transformed into operator equations, which are involved in finding the collocation coefficients as constrain conditions. In theory, the convergent order and stability analysis of the proposed method are presented rigorously. Finally, numerical examples show the stability, accuracy and effectiveness of the method.

Modified Wilson Orthonormal Bases

2007 ◽  
Vol 6 (2) ◽  
pp. 223-235
Author(s):  
Piotr Wojdyłło
Keyword(s):  
Orthonormal Bases

Numerical and analytical study on the mechanical properties of a connector with long-fiber and metal laminated bolts for prefabricated construction

2021 ◽  
pp. 136943322110073
Author(s):  
Xiaoming Zhang ◽  
Danni Ren ◽  
Xin Liu ◽  
Sujun Guan ◽  
Xindi Yu ◽  
...  
Keyword(s):  
Energy Dissipation ◽  
Analytical Study ◽  
High Strength ◽  
Bilinear Model ◽  
Fiber Layer ◽  
Rotational Displacement ◽  
Length Direction ◽  
Plastic Phase ◽  
Fiber Metal ◽  
Mechanical Performances

To improve the mechanical performances of joints in prefabricated construction, a type of connection structure with long-fiber and metal laminated bolts (referred to as a fiber-metal connector) is proposed and investigated by simulation and theoretical methods. The results include the following: (1) The fiber layer in bolts can form a second stiffness during rotation. This mechanical characteristic improves the bearing capacities and energy dissipation ability of the connector relative to the conventional metal connector, which are expected to effectively limit the elastoplastic rotational displacement of a structure. (2) For the reason, the fiber layer can bear load in the plastic phase due to its high-strength characteristic in the length direction. (3) A bilinear model for the bearing curve of the fiber-metal connector is proposed, and equations for optimization of fiber layer thickness are obtained with a target on bearing capacity and energy dissipation ability which are approximately higher 30% and 13% than that of the conventional metal connector, respectively. This research is expected to provide a theoretical basis for the application of this fiber-metal connector in engineering and improve the safety of prefabricated structures.

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