An analytical approximate technique for conservative nonlinear oscillators is proposed. This method is a modification of the generalized harmonic balance method in which analytical approximate solutions have a rational form. This approach gives us not only a truly periodic solution but also the frequency of motion as a function of the amplitude of oscillation. Three truly nonlinear oscillators ...

Deriving the analytical structure of fuzzy controllers is very important as it creates a solid foundation for better understanding, insightful analysis, and more e1ective design of fuzzy control systems. We previously developed a technique for deriving the analytical structure of the fuzzy controllers that use Zadeh fuzzy AND operator and the symmetric, identical trapezoidal or triangular input...

paper chromatography is an analytical technique for separating and identifying mixtures of materials. it is a useful technique since it is relatively quick, and requires small quantities of the material. by emergence of nanotechnology, paper chromatography has found many applications in biology and biotechnology. in this study, we employed gold and silver nanoparticles to detect protein bands a...

In this paper, two techniques namely Mode Matching technique and Green’s function technique are used to solve analytically the Forward Problem for a finite right circular cylinder. These techniques are compared in terms of analytical derivation and numerical results.

Modeling of large amplitude of structures such as slender, flexible cantilever beam and fluid-structure resting on nonlinear elastic foundations or subjected to stretching effects often lead to strongly nonlinear models of Duffing equations which are not amendable to exact analytical methods. In this work, explicit analytical solutions to the large amplitude nonlinear oscillation systems of cub...