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RBDO analysis of the aircraft wing based aerodynamic behavior
Rabii El Maani,Abderahman Makhloufi,Bouchaïb Radi,Abdelkhalak El Hami 국제구조공학회 2017 Structural Engineering and Mechanics, An Int'l Jou Vol.61 No.4
The need of progress in engineering designs especially for aerospace structure is nowadays becoming a major industry request. The objectives of this work are to quantify the influence of material and operational uncertainties on the performance of the aerodynamic behavior of an Aircraft Wing, and to give a description of the most commonly used methods for reliability based design optimization (RBDO) to point out the advantages of the application of this method in the design process. A new method is proposed, called Safest Point (SP) that can efficiently give the reliability-based optimum solution for freely vibrating structures with and without fluid flow.
Substructure/fluid subdomain coupling method for large vibroacoustic problems
Rabii El Maani,Abdelkhalak El Hami,Bouchaib Radi 국제구조공학회 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.65 No.4
Dynamic analysis of complex and large structures may be costly from a numerical point of view. For coupled vibroacoustic finite element models, the importance of reducing the size becomes obvious because the fluid degrees of freedom must be added to the structural ones. In this paper, a component mode synthesis method is proposed for large vibroacoustic interaction problems. This method couples fluid subdomains and dynamical substructuring of Craig and Bampton type. The acoustic formulation is written in terms of the velocity potential, which implies several advantages: coupled algebraic systems remain symmetric, and a potential formulation allows a direct extension of Craig and Bampton’s method to acoustics. Those properties make the proposed method easy to implement in an existing finite element code because the local numerical treatment of substructures and fluid subdomains is undifferentiated. Test cases are then presented for axisymmetric geometries. Numerical results tend to prove the validity and the efficiency of the proposed method.
Substructure/fluid subdomain coupling method for large vibroacoustic problems
El Maani, Rabii,El Hami, Abdelkhalak,Radi, Bouchaib Techno-Press 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.65 No.4
Dynamic analysis of complex and large structures may be costly from a numerical point of view. For coupled vibroacoustic finite element models, the importance of reducing the size becomes obvious because the fluid degrees of freedom must be added to the structural ones. In this paper, a component mode synthesis method is proposed for large vibroacoustic interaction problems. This method couples fluid subdomains and dynamical substructuring of Craig and Bampton type. The acoustic formulation is written in terms of the velocity potential, which implies several advantages: coupled algebraic systems remain symmetric, and a potential formulation allows a direct extension of Craig and Bampton's method to acoustics. Those properties make the proposed method easy to implement in an existing finite element code because the local numerical treatment of substructures and fluid subdomains is undifferentiated. Test cases are then presented for axisymmetric geometries. Numerical results tend to prove the validity and the efficiency of the proposed method.
THE EXTENDED REAL LINE AS A JULIA SET
AKBARI, MONIREH,RABII, MARYAM Korean Mathematical Society 2015 대한수학회보 Vol.52 No.4
A recursive family $\{F_n\}$ of holomorphic functions on the Riemann sphere is defined and some elementary properties of this family is described. Then the Julia set of $F_n$ is computed. Finally this family as a real recursive family is studied and it is shown that $F_n$ is chaotic on a specific subset of $\mathbb{R}$.
THE EXTENDED REAL LINE AS A JULIA SET
Monireh Akbari,Maryam Rabii 대한수학회 2015 대한수학회보 Vol.52 No.4
A recursive family {Fn} of holomorphic functions on the Riemann sphere is defined and some elementary properties of this family is described. Then the Julia set of Fn is computed. Finally this family as a real recursive family is studied and it is shown that Fn is chaotic on a specific subset of R.