THE DUAL STATE VARIABLE FORMULATION AS AN ALTERNATIVE TO PERTURBATION METHODS FOR THE ANALYSIS OF NON-LINEAR OSCILLATORS

机译：双态变量公式作为微分方法的非线性振荡器分析方法

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

The "dual" state variable (DSV) formulation is a new way to represent ordinary differential equations. It is based on a framework that is consistent with the analysis of linear systems, and it allows the state space representation of a system to exhibit considerable symmetry. Its use in modeling requires a clear understanding of its unique four-dimensional state space, but it can be computationally simple. The DSV formulation has been successfully applied to model the nonlinear pendulum, the Duffing oscillator, and the van der Pol oscillator, with results that are superior to those of perturbation methods. An introduction to the DSV formulation and a framework for its systematic application as a modeling tool for nonlinear oscillators are presented.

机译：“双重”状态变量（DSV）公式是表示常微分方程的一种新方法。它基于与线性系统分析一致的框架，并且允许系统的状态空间表示形式表现出相当大的对称性。在建模中使用它需要清楚地了解其独特的四维状态空间，但是它在计算上可能很简单。 DSV公式已成功应用于非线性摆，Duffing振荡器和van der Pol振荡器的建模，其结果优于微扰方法。介绍了DSV公式及其系统应用框架，作为非线性振荡器的建模工具。

著录项

来源
《AMD-vol.257; American Society of Mechanical Engineers(ASME) International Mechanical Engineering Congress and Exposition; 20061105-10; Chicago,IL(US)》|2006年|P.367-371|共5页
会议地点 ChicagoIL(US)
作者
Alvin Post; Willem Stuiver;
展开▼
作者单位

Arizona State University Polytechnic Campus, Department of Mechanical and Manufacturing Engineering Technology, Mesa, AZ 85212, USA;

University of Hawaii, Department of Mechanical Engineering, Honolulu, HI 96822, USA;

展开▼
会议组织
原文格式 PDF
正文语种 eng
中图分类机械零件及传动装置;
关键词

相似文献

外文文献
中文文献
专利

1. A perturbation-incremental method for strongly non-linear non-autonomous oscillators [J] . K.W. Chung, C.L. Chan, Z. Xu, International journal of non-linear mechanics . 2005,第6期

机译：强非线性非自治振荡器的摄动增量方法
2. Periodic solutions of strongly quadratic non-linear oscillators by the elliptic perturbation method [J] . Chen SH., Cheung YK., Yang XM. Journal of Sound and Vibration . 1998,第5期

机译：椭圆摄动法的强二次非线性振荡器的周期解。
3. AN ELLIPTIC PERTURBATION METHOD FOR CERTAIN STRONGLY NON-LINEAR OSCILLATORS [J] . Chen SH., Cheung YK. Journal of Sound and Vibration . 1996,第2期

机译：某些强非线性振荡器的椭圆摄动方法
4. THE DUAL STATE VARIABLE FORMULATION AS AN ALTERNATIVE TO PERTURBATION METHODS FOR THE ANALYSIS OF NON-LINEAR OSCILLATORS [C] . Alvin Post, Willem Stuiver, American Society of Mechanical Engineers(ASME), ASME International Mechanical Engineering Congress and Exposition . 2007

机译：双态变量配方作为用于分析非线性振荡器的扰动方法的替代方法
5. A comparative analysis of results based on using the vote count method and meta-analysis as two alternative strategies for integrating the findings of individual research studies that investigate gender differences in identity formation of college students. [D] . Koehler, Heidi Jean. 2000

机译：基于投票计数法和荟萃分析作为两种替代策略的结果比较分析，该策略整合了个人研究的调查结果，这些研究调查了大学生身份形成过程中的性别差异。
6. Post-hoc Analysis for Detecting Individual Rare Variant Risk Associations using Probit Regression Bayesian Variable Selection Methods in Case-Control Sequencing Studies [O] . Nicholas B. Larson, Shannon McDonnell, Lisa Cannon Albright, -1

机译：在病例对照测序研究中使用概率回归贝叶斯变量选择方法对个别稀有变异风险关联进行事后分析
7. Application of modified homotopy perturbation method and amplitude frequency formulation to strongly nonlinear oscillators [O] . Seyd Ghasem Enayati, M. Azimi, M. Jouya 2017

机译：改进的同型扰动方法和幅度频率配方在强非线性振荡器中的应用

THE DUAL STATE VARIABLE FORMULATION AS AN ALTERNATIVE TO PERTURBATION METHODS FOR THE ANALYSIS OF NON-LINEAR OSCILLATORS

摘要

著录项

相似文献

相关主题

期刊订阅