A perturbation algorithm using any time transformation is introduced. To account for the nonlinear dependence of the function, we exhibit the function f of the system in the differential equation. To this end, we introduce the transformation t t w f Te ) , ( , where f is a function that depends on t or w. The problems are solved with new time transformation: Linear damped vibration equation, cl...

The prediction and control of excessive vibration are one the most important concerns in design development geared systems. For any gear set, parametric resonance is main source instability, resulting separation gears mesh chaotic behavior. In many works, modeled with rigid mountings, various analytical numerical approaches have been used to investigate dynamic characteristics system different ...

A simplified isotope dilution method for measurement of the bile acid pool size in normal subjects is described and compared with the traditional method of Lindstedt (Acta Physiol. Scand. 40: 1-9, 1957). Advantages of this simplified method include a four- to eightfold reduction of isotope dose, facilitation of analytical procedures, and a reduction in the required number of duodenal intubation...

The nonlinear effects exhibited by structures under the action of wind loads have gradually stepped into vision wind-resistant researchers. By summarizing prominent wind-induced problems four types wind-sensitive structures, namely tall buildings, high-rise flexible bridges, and transmission lines, occurrence mechanism their is revealed, providing cutting-edge research progress in theoretical s...

The radioisotopic assay for carnitine first described by Cederblad and Lindstedt (Clin. Chim. Acta. 37:235-543, 1972) and modified by Bohmer et al (Clin. Chim. Acta. 57:55-61, 1974) has been improved and simplified. As a result, the assay yields a linear response over a wide range of carnitine concentrations without the need for excessive amounts of labeled acetyl-CoA. In addition, it will meas...

In this paper, the dynamic response of resonating nano-beams is investigated using a strain gradient elasticity theory. A nonlinear model is obtained based on the Galerkin decomposition method to find the dynamic response of the investigated beam around its statically deflected position. The mid-plane stretching, axial residual stress and nonlinear interaction due to the electrostatic force on ...

The renormalization group method of Chen, Goldenfeld, and Oono offers a comprehensive approach to formally computing asymptotic expansions of the solutions to singular perturbation problems and multi-scale problems. In particular, the RG method applies to a broad array of problems customarily treated with disparate methods, such as the method of multiple scales, boundary layer theory, matched a...