the current paper focuses on some analytical techniques to solve the non-linear duffing oscillator with large nonlinearity. four different methods have been applied for solution of the equation of motion; the variational iteration method, he’s parameter expanding method, parameterized perturbation method, and the homotopy perturbation method. the results reveal that approximation obtained by th...

background: pain and limited range of motion (rom) are the crucial subsequent results of joint hemorrhages in individuals with bleeding disorders and hemophilia. exercise interventions are particularly recommended in treatment of such patients. the purpose of this study was to detect the influences of conventional exercise therapy and hydrotherapy on the knee joint complications in patients wit...

In a companion paper, the authors obtained some Fubini type identities in law for quadratic functionals of Brownian motion, and, more generally, for certain functionals of symmetric stable processes, the function: x -* x2 then being replaced by: x e IxIa. In this paper, discrete analogues of such identities in law, which involve a sequence of independent standard symmetric stable r.v.'s of inde...

Performance and reliability of any rotating machine can be studied by proper dynamic analysis of the machine. In this regard, this paper presents the method to study the dynamic response of the shaft of a Pelton turbine due to the impact of water jet. Equations of motion for the bending vibration of Pelton turbine assembly, in two transverse directions, is developed by using Lagrange equation o...

In this paper, the equation of motion of an elastic 2 DoF wing model has been derived using Lagranges method. The aerodynamic loads on the wing were calculated via the Strip-Theory and the effect of compressibility was included. Wing deflections due to bending and twist motions were determined using the Assume-Mode method. The aeroelastic equations were solved numerically using the V-g method. ...