this paper proposes a three-step method for solving nonlinear volterra integralequations system. the proposed method convents the system to a (3 × 3)nonlinear block system and then by solving this nonlinear system we ndapproximate solution of nonlinear volterra integral equations system. to showthe advantages of our method some numerical examples are presented.

Within the basic framework of an existing anisotropic thin-walled beam model, a cou-ple of non-classical effects are further incorporated and the model thereby developed isvalidated. Three types of lay-up configurations, namely, the cross-ply, circumferentiallyuniform stiffness (CUS), and circumferentially asymmetric stiffness (CAS) are investi-gated. The solution methodology is...

In this paper we suggest some algorithms for the fluid-structure interaction problem stated using a domain decomposition framework. These methods involve stabilized pressure segregation methods for the solution of the fluid problem and fixed point iterative algorithms for the fluid-structure coupling. With one single loop the solution of the coupled system tends to the one of the strongly coupl...

Advances of the analytical, numerical, experimental and field-measurement approaches in wind engineering offers unprecedented volume data that, together with rapidly evolving learning algorithms high-performance computational hardware, provide an opportunity for community to embrace harness full potential machine (ML). This contribution examines state research practice ML its applications engin...

An efficient super modular process to simulate aeroelasticity of aerospace vehicles using high fidelity flow equations such as the Euler/Navier-Stokes equations is presented. The process is suitable for both tightly coupled and uncoupled analysis. The process is designed to execute on massively parallel processors (MPP) and work-station clusters based on a multiple-instruction, multiple-data (M...

This paper discusses issues and practical requirements for an adaptive wing in relation to currently available technology. Adaptive wings offer many benefits, but a viable wing will require research into several areas, including selection of initial and perturbed airfoil shapes, steady and unsteady aerodynamic analysis of adaptive airfoils, and methods for real-time shape control of an adaptive...

An important eld in computational science and engineering is the simulation of the coupled problem of uid ow interacting with a moving structure. A common notation for this is uid-structure interaction (FSI) problems, which include both aeroelasticity and hydroelasticity. Such multi-physics systems have received renewed attention as a result of the increase in length of slender structures e.g. ...

The present paper is the first in a series of works devoted to the solvability of the Possio singular integral equation. This equation relates the pressure distribution over a typical section of a slender wing in subsonic compressible air flow to the normal velocity of the points of a wing downwash . In spite of the importance of the Possio equation, the question of the existence of its solutio...

A modular capability to compute dynamic aeroelastic characteristics of rotor blades using the Euler/Navier– Stokes flow equations and finite element structural equations is presented. The approach is based on a time-accurate analysis procedure that is suitable for nonlinear fluid–structure interaction problems. Fluids and structural solvers are time-accurately coupled in the C++ environment. Un...

in this paper, we use a combination of legendre and block-pulse functionson the interval [0; 1] to solve the nonlinear integral equation of the second kind.the nonlinear part of the integral equation is approximated by hybrid legen-dre block-pulse functions, and the nonlinear integral equation is reduced to asystem of nonlinear equations. we give some numerical examples. to showapplicability of...