微分方程模型 meaning in English
differential equation model
Examples
- The bouc - wen differential equation model is used in modeling the hysteretic characteristics of these components . the pem ( pseudo excitation method ) combined with the elm ( equivalent linearization method ) is used to analyze the non - linear random vibration of such structures
采用bouc - wen等提出的微分方程模型描述进入非线性构件的滞变特性，运用虚拟激励法结合等效线性化进行结构非线性随机振动分析。 - This thesis constructs a series of differential equation models reflecting the interest rate changes in the financial system for various financial backgrounds . it also studies the laws of changes of interest rate and the stability of financial market by applying the stability theory of differential equation
本文在各种不同的金融背景下，建立了一系列反映金融系统利率变化的微分方程模型，并应用微分方程稳定性理论研究了金融市场利率的变化规律及其稳定性。 - In the second section of chapter 2 , the fact that the essential interest rates of all nodes differ from each other is discussed , a non - homogeneous differential equation model of interest rate - amount of circulating fund is established , and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates . in the third section of chapter 2 , the differential equation model of interest rate - amount of circulating fund in an open system is studied , the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network , and the stability of equilibrium solution is proved based upon lyapunov stability theory . in the last , the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied , and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay
本文第二章首先建立了封闭系统的利率?流通量微分方程模型，证明了各结点利率加权和为常数即金融市场利率均衡原理，以及各结点利率极限为整个网络平均利率；其次在各结点基本利率不相同的情况下，建立了非齐次利率?流通量微分方程模型，证明了金融网络各结点利率加权和仍是一个常数，并证明了各结点两两之间的即时利率之差最终将稳定地趋于其基本利率差；此外，还研究了开放金融网络利率?流通量方程模型，考虑了结点自身追加资金和提走资金的情形以及网络外部注入资金和向外部转移资金情形下的利率变化规律，用lyapunov稳定性理论证明了模型均衡解的稳定性；最后，还研究了具有时滞的金融网络利率?流通量方程模型，并给出了具有时滞金融网络的利率流通量方程具有周期解的充要条件。 - Based on a duralumin flexible beam with piezoelectric films attached , distributed parameter modal described by partial difference equations is builded , and then turned into a set of two order systems with the method of modal analyse . state feedback control and independent modal control is investigated . and simulation of the closed - loop system with thest two methods is performed in matlab
并用模态分析的方法，将系统的偏微分方程模型转化成了模态模型；研究了状态反馈和独立模态方法；进一步完善了软件界面以及软件功能；在实际系统中，应用状态反馈算法，有效抑制了悬臂梁在受到外界瞬时脉冲扰动和激振引起的一阶、二阶模态振动。