This paper deals with a novel method for solving optimal control problems based on genetic programming. This approach produces some trial solutions and seeks the best of them. If the solution cannot be expressed in a closed analytical form then our method produces an approximation with a controlled level of accuracy. Using numerical examples, we will demonstrate how to use the results.

This paper presents a high-order finite element method for calculating elastic-plastic flow on moving curvilinear meshes and is an extension of our general high-order curvilinear finite element approach for solving the Euler equations of gas dynamics in a Lagrangian frame [1, 2]. In order to handle transition to plastic flow, we formulate the stress-strain relation in rate (or incremental) form...

In this paper a semi-analytical approach is developed which enables the computation of stress field in vicinity transverse crack symmetric cross-ply laminated plates subjected to an in-plane tensile load. Due assumption plane state strain, analytical model can be reduced two-dimensional plate strip. After discretization considered laminate into mathematical layers with respect thickness directi...

The present work deals with the semi-analytical assessment of three-dimensional stress fields in circular cylindrical symmetrically and unsymmetrically laminated cross-ply shells undergoing different transverse loads. Starting from a closed-form plane-strain analysis innermost regions shell, elasticity solution is upgraded by higher-order displacement-based approach which enables developed meth...

In this paper, we present an analytical method for solving a well-posed boundary value problem of mathematical physics governing the vibration characteristics of an internal flow propelled fluid-structure interaction where the pipeline segment is idealized as an elastic hollow beam conveying an incompressible fluid on a viscoelastic foundation. The effect of Coriolis and damping forces on the o...

Commonly, fracture toughness tests on deeply cracked specimens are used to assess defects in large-scale components. The paper presents a method for selection of test specimen type, size and crack length order obtain estimates relevant pipes. uses available closed-form T-stress, stress intensity factor limit load solutions determine the required dimensions. reports elastic–plastic finite elemen...

A semi-analytical iterative method as one of the newest analytical methods is used for the elastic analysis of thick-walled spherical pressure vessels made of functionally graded materials subjected to internal pressure. This method is accurate, fast and has a reasonable order of convergence. It is assumed that material properties except Poisson’s ratio are graded through the thickness directio...

in this paper, a new analytical method to find a near-optimal high gain controller for the non-minimum phase affine nonlinear systems is introduced. this controller is derived based on the closed form solution of the hamilton-jacobi-bellman (hjb) equation associated with the cheap control problem. this methodology employs an algebraic equation with parametric coefficients for the systems with s...