NettetThis paper develops a damping strategy for the vibration reduction of a mistuned bladed disk (blisk) by depositing hard coating on its blades, and systematically investigates the vibration characteristics of the hard-coated mistuned (HCM) blisk. By using an improved fixed-interface component modal synthesis method (fixed-ICMSM), a reduced-order … NettetIn order to improve the Lindstedt-Poincaré method to raise the accuracy and the performance for the application to strongly nonlinear oscillators, a new analytic method …

Nonlinear forced vibration of rectangular plates by modified …

Nettet1. jan. 2011 · By the end of the nineteenth century, the method has been improved as far as calculation is concerned by Gylden, Lindstedt, Bohlin, and others. However, the main contribution to the perturbation method is due to Poincaré [ 1 ], who elaborated in 1892 its theoretical grounds and made possible its systematic application to various problems of … NettetAn alternative perturbation procedure of multiple scales is presented in this paper which is capable of treating various periodic and almost periodic steady-state vibrations including combination resonance of nonlinear systems with multiple degrees-of-freedom. This procedure is a generalization of the Lindstedt-Poincare method. To show its essential … roller shutter repairs manchester

Mathematics Free Full-Text On the Periodic Solutions for the ...

In perturbation theory, the Poincaré–Lindstedt method or Lindstedt–Poincaré method is a technique for uniformly approximating periodic solutions to ordinary differential equations, when regular perturbation approaches fail. The method removes secular terms—terms growing without bound—arising in … Se mer The undamped, unforced Duffing equation is given by $${\displaystyle {\ddot {x}}+x+\varepsilon \,x^{3}=0\,}$$ for t > 0, with 0 < ε ≪ 1. Consider initial … Se mer 1. ^ Drazin, P.G. (1992), Nonlinear systems, Cambridge University Press, ISBN 0-521-40668-4, pp. 181–186. 2. ^ Poincaré, H. (1957) [1893], Les Méthodes Nouvelles de la Mécanique Célèste, vol. II, New York: Dover Publ., §123–§128. Se mer Nettet1. apr. 2015 · A recently developed perturbation algorithm namely the Multiple Scales Lindstedt-Poincare method (MSLP) is employed to solve an equation with quadratic nonlinearity. Nettet1. jan. 1996 · A modified Lindstedt–Poincaré method is presented for extending the range of the validity of perturbation expansion to strongly nonlinear oscillations … roller shutter repairs birmingham