By minimizing the total potential energy function and deploying the virtual work principle, a higher-order stiffness matrix is achieved. This new tangent stiffness matrix is used to solve the frame with geometric nonlinear behavior. Since authors’ formulation takes into account the higher-order terms of the strain vector, the convergence speed of the solution process will increase. In fac...

But what if you need to generate distorted views? For example, we see a distorted environment when we look through a raindrop on a windshield. When we play computer games, we also might want to have a pair of “magic” lenses that let us see a deformed virtual world. In this article, we present techniques for achieving nonlinear projections and distortions and use these techniques to generate dis...

Multiple spacecraft formation control about the 2 L libration point is investigated in this paper. The circular restricted three-body problem with Sun and Earth as the two primaries is utilized as a framework of study. The idea of virtual structure is considered as the architecture of multiple spacecraft formation. The center of the virtual rigid body follows a nominal orbit around the 2 L libr...

In order to better understand the mechanical properties of biological cells, characterization and investigation of their material behavior is necessary. In this paper hyperelastic Neo-Hookean material is used to characterize the mechanical properties of mouse oocyte cell. It has been assumed that the cell behaves as continuous, isotropic, nonlinear and homogenous material for modeling. Then, by...

This paper presents a complete derivation and implementation of the Arbitrary Lagrangian Eulerian (ALE) formulation for the simulation of nonlinear static and dynamic problems in solid mechanics. While most of the previous work done on ALE for dynamic applications was mainly based on operator split and explicit calculations, this work derives the quasi-static and dynamic ALE equations in its si...

The risk management for virtual enterprise is the hot research area recently. There is always lack of historical data and there are many uncertain factors in virtual enterprise. Hence, in this paper, the fuzzy synthetic evaluation embedded nonlinear integer programming model of the risk programming for virtual enterprise is established according to the characteristics of virtual enterprise and ...

The problem of virtual sensor design for nonlinear systems under the disturbance is investigated. Two different mathematical techniques are used to solve problem: algebra functions and logic-dynamic approach. first one allows obtaining a general solution while second produces by linear methods. sensors designed be insensitive based on invariant functions. They estimate prescribed function origi...

In this paper, a new approach is proposed for voltage and current harmonics compensation in grid-connected microgrids (MGs). If sensitive loads are connected to the point of common coupling (PCC), compensation is carried out in order to reduce PCC voltage harmonics. In absence of sensitive loads at PCC, current harmonics compensation scenario is selected in order to avoid excessive injection of...

Nonlinear contraction theory allows surprisingly simple analysis of synchronisation phenomena in distributed networks of coupled nonlinear elements. The key idea is the construction of a virtual contracting system whose particular solutions include the individual subsystems’ states. We also study the role, in both nature and system design, of co-existing “power” leaders, to which the networks s...