[PDF] Top 20 Application of the Energy Balance Method for Strongly Nonlinear Oscillators

... If there is no small parameter in the equation,the traditional perturbation methods cannot be applied directly. Recently, considerable attention has been directed towards the analytical solutions for nonlinear ... See full document

... an application of energy balance method for solving the nonlinear oscillators with u n ...by energy balance method is valid for not only weakly ... See full document

... [12] D. D. Ganji, “The Application of He’s Homotopy Pertur- bation Method to Nonlinear Equations Arising in Heat Transfer,” Physics Letters A, Vol. 355, No. 4-5, 2006, pp. 337-341. ... See full document

... the nonlinear oscillators are efficiently han- dled by He’s energy balance method or He’s frequency for- ...of nonlinear oscillators, see, for example, ... See full document

... effective method (EBM) for nonlinear oscillators. The method consists of a combination of He’s variational approach, to determine frequency and amplitude of the ...The method can be ... See full document

... The nonlinear Helmholtz oscillator has received considerable attention especially in the last decade in nonlinear sciences and ...of nonlinear sciences, an intensifying interest among with scientists ... See full document

... 5. Ganji, D. D., H. Tari, and H. Babazadeh, “The application of He’s variational iteration method to nonlinear equations arising in heat transfer,” Physics Letters A, Vol. 363, No. 3, 213–217, 2007. ... See full document

... for strongly nonlinear ...perturbation method [4–7, 33– 35], perturbation techniques [8], Lindstedt-Poincar´ e method [9, 10], parameter–expansion method [11, 12] and Parameterized ... See full document

... many nonlinear vibration problems can be transformed into the Duffing equation to research ...on nonlinear Duffing system attracts a lot of scholars and several ingenious analytical methods have been ... See full document

... inherently nonlinear such as heat transfer and many of them have no analytical ...such nonlinear problems. These methods include the artificial parameter method by (He, 2000), the variation iteration ... See full document

... locus method is rather error and trial procedure, at which the final result depends on the steps taken ...locus method is its simplicity and ease of use, which disappears quickly as the complexity of the ... See full document

... accompanying nonlinear light multiplication in atomic vapors [9], drift and diffusion of photoexcited bursting charge in photorefractive materials [10], and it appears as a result of many body interaction ... See full document

... this method the dynamical variables of the system, and sometimes also the external force, are recorded simultaneously, and the statistics of all actual trajectories along which system evolves to a given state are ... See full document

... - The areas in which there is a strong upward trend and the group of short term averages is carried over the long term ones (but do not cross) and begin to rise quickly, provide a strong signal of the phase in progress ... See full document

... the energy transfer phenomenon of bilinear oscillators in the frequency domain using the NOFRF concept recently developed by the ...type nonlinear model, which can easily be analyzed using the ... See full document

... indirect energy inputs of agricultural machinery i.e. energy consumption during machinery production and ...an energy analyses is a time consuming and troublesome duty, the information needed is ... See full document

... the low-attenuation lung regions in the present study. There- fore, b 0 is large in patients with emphysema. Concerning b 1 , the “circular” holes corresponded to the normal lung regions surrounded by the low-attenuation ... See full document

... The system of Equations (13) was formed by using a computer-aided method following the scheme of calculations and is provided in Fig. 3. Various algorithms can be used for its formation; however, we recommend the ... See full document

... In our research, we first design an amplifier-type active antenna, in which the antenna is a rectangular patch. This passive antenna is analyzed by the Momentum simulator. Then we use the harmonic balance approach ... See full document

... Their study inspired Norman J. Zabusky and Martin D. Kruskal to analyze the KdV equation which has been arisen from the FPU problem. In 1965, they investigated and analyzed the nonlinear simulation in detail and ... See full document