Rotating solutions and stability of parametric pendulum by perturbation method

Nonlinear stability of rotating two superposed magnetized fluids with the technique of the homotopy perturbation

In the present work, the Rayleigh-Taylor instability of two rotating superposed magnetized fluids within the presence of a vertical or a horizontal magnetic flux has been investigated. The nonlinear theory is applied, by solving the equation of motion and uses the acceptable nonlinear boundary conditions. However, the nonlinear characteristic equation within the elevation parameter is obtained....

multiwavelength pectrophotometric determination of stability constants of 4-(2– thiazolylazo) resorcinol (tar) with la3+, y3+ and th4+ in organic-water mixed solvents by chemometrics method & simultaneous spectrophotometric determination of lead, copper and nickel using xylenol orange by partial least squares calibration method

تشکیل کمپلکس های tarبا یون های لانتانیم, ایتریم و توریم در دمای 25 درجه، قدرت یونی ثابت 0.1 مولار و در ph ثابت در مخلوط حلال های اتانول – آب و استونیتریل – آب با استفاده از روش های اسپکتروفوتومتری مورد بحث و بررسی قرار گرفت. داده های اسپکتروفوتومتری با استفاده از نرم افزار squad پردازش شدند تا ثابت های تشکیل کمپلکس اندیکاتور – فلز را محاسبه کند. نتایج نشان می دهد که درصد حلال آلی در مخلوط حلال ...

Numerical solutions of two-dimensional linear and nonlinear Volterra integral equations: Homotopy perturbation method and differential transform method

Bifurcations of oscillatory and rotational solutions of double pendulum with parametric vertical excitation

This paper investigates dynamics of double pendulum subjected to vertical parametric kinematic excitation. It includes detailed bifurcation diagrams in two parameters space (excitation's frequency and amplitude) for both oscillations and rotations in the domain of periodic solutions.

Period-One Rotating Solutions of Horizontally Excited Pendulum Based on Iterative Harmonic Balance

In this study, the iterative harmonic balance method was used to develop analytical solutions of period-one rotations of a pendulum driven horizontally by harmonic excitations. The performance of the method was evaluated by two criteria, one based on the system energy error and the other based on the global residual error. As a comparison, analytical solutions based on the multi-scale method we...