in this paper, the nonlinear free vibrations of thin symmetric and non-symmetric cross-ply composite plates subjected to biaxial initial stresses are investigated. because of their excellent properties such as specific strength and specific stiffness, composite plates have wide applications in aerospace and mechanical structures. based on von-karman's strain-displacement relations and using gal...

Privacy of information and security issues now-a-days has become the requisite because of big data. A novel framework for extracting and deriving information when the data is distributed amongst the multiple parties is presented by Privacy Preserving Data Mining (PPDM). The concern of PPDM system is to protect the disclosure of information and its misuse. Major issue with PPDM that exists is to...

As one of themost important subjects of mathematics, differential and integral equations are widely used to model a variety of physical problems. Perturbation methods have been used in search of approximate analytical solutions for over a century [1–3]. Algebraic equations, integral-differential equations, and difference equations could be solved by these techniques approximately. However, a ma...

The homotopy perturbation method is a powerful device for solving a wide variety of problems arising in many scientific applications. In this paper, we investigate several integral equations by using T-stability of the Homotopy perturbation method investigates for solving integral equations. Some illustrative examples are presented to show that the Homotopy perturbation method is T-stable for s...

The measurement of pitch perturbation has been used in acoustic screening for the detection of vocal disorders. As an alternative to applying conventional statistical techniques to the pitch perturbation parameters used for Separation of control and pathological speakers, a parallel distributed processing model approach has been implemented using a Boltzmann Machine (BM). After training, the ma...

The sense of singular perturbation reduction is close to the meaning of the longand short-run management problem. In this paper, we propose the decomposition of a class of manufacturing systems management using the singular perturbation methods. Controlled Stochastic Petri Nets are used for the modelling. The application of singular perturbation techniques on the Markov Reward associate model, ...

We extend previous works of Fliess et al. [2008] on the estimation of the switching signal and of the state for switching linear systems to the perturbed case when the perturbation is structured that is when the perturbation is unknown but known to satisfy a certain differential equation (for example if the perturbation is constant then its time-derivative is zero). We characterize also singula...

In this paper, we suggest and analyze some iterative methods for solving nonlinear equations using the homotopy perturbation technique coupled with system of equations. In addition, we show that the homotopy polynomial is exactly the the Adomian polynomial and this establishes the equivalence between the homotopy perturbation and decomposition techniques. Our method of establishing the equivale...

We outline the key elements of a recent calculation aimed at determining the equation of state of deconfined (but unpaired) quark matter at zero temperature and high density, using finite quark masses. The computation is performed in perturbation theory up to three loops, and necessitates the development and application of some novel computational tools. In this talk, we introduce the basic fea...