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A NON-PARAMETRIC NUMERICAL ANALYSIS METHOD BASED ON RESPONSE DATA FOR DISSIPATIVE NONLINEAR DYNAMICAL SYSTEM

机译:基于响应数据的耗散非线性动力系统非参数数值分析方法

摘要

PURPOSE: A non-parametric numerical analysis method of a dissipative nonlinear dynamic system using response data is provided to simply and rapidly perform a numerical analysis procedure of the nonlinear dynamic system through numerical analysis by Landweber normalization of a nonlinear first integral equation transformed from a governing equation, thereby improving the accuracy of the numerical analysis. CONSTITUTION: A governing equation having a nonlinear second differential equation form is calculated about dissipative nonlinear movement of an object, and the governing equation is inputted in a computational computer. The nonlinear second differential equation form of the governing equation is transformed into a first nonlinear integral equation form. A displacement response and a speed response of the dissipative nonlinear movement of the object are measured and are inputted in the computational computer. Landweber normalization about the first nonlinear integral equation form of the governing equation is performed by operating a numerical analysis program of the computational computer. [Reference numerals] (AA) Dominant equation input stage; (BB) Integral equation conversion stage; (CC) Response data input stage; (DD) Landweber normalization stage; (EE) Stability strength calculation stage
机译:目的:提供一种使用响应数据的耗散非线性动力系统的非参数数值分析方法,以通过对从控制变换的非线性第一积分方程进行Landlander归一化的数值分析,简单快速地执行非线性动力系统的数值分析程序。方程,从而提高了数值分析的准确性。构成:具有关于对象的耗散非线性运动的非线性二阶微分方程形式的控制方程,并且该控制方程被输入到计算计算机中。将控制方程的非线性第二微分方程形式转换为第一非线性积分方程形式。测量对象的耗散非线性运动的位移响应和速度响应,并将其输入到计算计算机中。通过运行计算计算机的数值分析程序,可以对控制方程的第一个非线性积分方程形式进行Landweber归一化。 [附图标记](AA)主导方程输入级; (BB)积分方程转换阶段; (CC)响应数据输入阶段; (DD)Landweber标准化阶段; (EE)稳定强度计算阶段

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