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The method is illustrated by the treatment of strongly nonlinear positiveenergy wave equations (e.g.


Necessary and sufficient conditions for the existence of a functional for a strongly nonlinear differential equation of the second order in ordinary derivatives are established.


Strongly nonlinear dynamics are observed with nanoscale spacial resolution.


They are based on the Josephson tunnel junction, the only nondissipative, strongly nonlinear circuit element available at low temperature.


Evolutionary algorithms turned out to be well suited for the solution of very complex problems having strongly nonlinear cost functions defined over the solution space.

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 In this paper, an approximate solution for quasiconservative system is presented. Because the solution is the perturbation solution based on the nonlinear solution, strongly nonlinear vibration systems can be solved by it. The solution is used to find the limit cycle of lienard's equation with a strongly nonsymmetrical restoring force term, and give the calculating formulate of the limit cycle amplitude in each case. The effect of the restoring force term on the limit cycle is discussed. A second... In this paper, an approximate solution for quasiconservative system is presented. Because the solution is the perturbation solution based on the nonlinear solution, strongly nonlinear vibration systems can be solved by it. The solution is used to find the limit cycle of lienard's equation with a strongly nonsymmetrical restoring force term, and give the calculating formulate of the limit cycle amplitude in each case. The effect of the restoring force term on the limit cycle is discussed. A second method proposed here is an improvement of harmonic balance technique. The method is the hybrid of harmonic balance technique and Galerkin's method.  本文给出了拟保守系统的渐近解,该解是在非线性解的基础上的摄动解,因而可求解强非线性振动系统。文中利用此解研究了具有强非对称恢复力项的Liénard方程的极限环问题,给出了各种特殊情况下该方程的极限环幅值的计算公式,并讨论了非线性恢复力项对极限环的影响。此外,本文提出了一种改进的谐波平衡法,该方法是谐波平衡法与伽辽金方法结合的产物。  The paper presents a new method for EHL solutions (strongly nonlinear equation),i.e. twogrid itration algorithm. Film thicknese and pressure distribution on the varied loads are calculated by the new method. The accuracy of numerical solution is much better than that calculated by NewtonRaphson method and C.P.U. time is greatly saved.  本文提出了求解EHL问题(强非线性方程)的新算法——两重网格迭代法,用新算法计算了不同载荷下线接触的油膜厚度和压力分布,数值解的精度是牛顿莱福森算法根本达不到的。新算法可节省C.P.V时间。  In the engineering field we arc often faced with a problem that from test data is determined a nonlinear curve which is strongly nonlinear and not expressed by an analytical formula ,c. g. it is absolutely necessaryin aircraft flight test data analysis that from flight test data is determined a polar diagram (curve) which is a basic aerodynamic characteristic curve to calculate a flight performance. The above problem may be included in nonlincar curve identification. In this paper research on a nonlinear... In the engineering field we arc often faced with a problem that from test data is determined a nonlinear curve which is strongly nonlinear and not expressed by an analytical formula ,c. g. it is absolutely necessaryin aircraft flight test data analysis that from flight test data is determined a polar diagram (curve) which is a basic aerodynamic characteristic curve to calculate a flight performance. The above problem may be included in nonlincar curve identification. In this paper research on a nonlinear maximum likelihoodoptimization method for identifying the nonlinear curve is presented. A general idea of this method is : first the nonlinear curve is approached by a suitable function system(e. g. a cubical splinepolynomial);secondly the nonlinear curve identification is transformed into a normal parameter identification; thirdly a criterion of a maximum likelihood function is built; finally is established a unified successive iterate procedure that a criterion of the maximum likelihood function is driven into an extreme using an optimization method. This method has a uniqueness and a good astringency of the maximum likelihood method and a capability of solving a nonlinear problem by the optimization method. An identified function curve (c. g. a cubical spline function curve) can approach the nonlinear curve unlimitedly smoothly. In this paper a fundamental principle of this method and its application to identify above polar curve of an aircraft are presented.  工程上经常碰到非线性曲线辨识问题。本文探讨一种非线性极大似然优化法并结合三次样条函数拟配法,形成统一的逐次逼近的直接辨识非线性曲线的非线性辨识方法。该法兼有极大似然法的唯一性、很好的收敛性和优化法直接处理非线性系统的能力,辨识出的样条函数曲线能无限地光滑地逼近非线性曲线。   << 更多相关文摘 
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