Effects of Gaussian Colored Noise and External Periodic Force on the Upper Bound of the Time Derivat

来源 :第九届全国随机振动理论与应用学术会议暨第三届全国随机动力学学术会议 | 被引量 : 0次 | 上传用户：jiaxing19871215

【摘要】

：

【作者】

：

Yong-Feng Guo Jian-Guo Tan Ya-Jun Shen

【机构】

：

School of Science, Tianjin Polytechnic University, Tianjin 300387, PR China

【出处】

：

第九届全国随机振动理论与应用学术会议暨第三届全国随机动力学学术会议

【发表日期】

：

2014年8期

【关键词】

：

Information entropy damped harmonic oscillator Gaussian colored noise external p

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　The effects of Gaussian colored noise and external periodic force on the upper bound of the time derivative of information entropy for a damped harmonic oscillator are studied.The one-dimensional non-Markovian process with Gaussian colored noise is stochastically equivalent to two-dimensional Markovian process and the dimension of Fokker-Planck equation is reduced by the linear transformation.The exact expression of the upper bound of the time derivative of information entropy is derived on the basis of the Schwartz inequality principle and the definition of Shannons information entropy.The relationship between the properties of damping constant, the frequency of the oscillator, Gaussian colored noise and external periodic force and their effect on the upper bound of the time derivative of information entropy is also discussed.

其他文献

Behavior of Rate-Independent Linear Damping Incorporated into Long-Period Structures Subjected to St

Behavior of imaginary rate-independent linear damping incorporated into a building structure subjected to strong ground motions is examined.It is well known that linear viscous damping and rate-indepe

会议

seismic control of structurehigh-rise buildingenergy dissipated structureperf

Building Response Records during the 2011 Tohoku Earthquake and Their Implications for Seismic Desig

Many tall buildings in Tokyo metropolitan area were strongly shaken during the Tohoku Earthquake, March 11, 2011.Most of them are less than 40 years old, and experienced the shaking of such a strong l

会议

energy dissipated structuretall buildingTohoku Earthquakebase-isolated buildi

Displacement Control Design Concept for Long-period Structures: Design Strategies for High-rise and

In its early stages, the earthquake-resistant design code provision in japan required that structures resist seismic force produced by response acceleration.In accordance with the increase in heights

会议

displacement controllong-period structurehigh-rise buildingseismic isolation

Study on the Joint Damage and Retrofitting of a Gymnasium after the 2011 Great East Japan Earthquake

In the Japan Tohoku Earthquake, about 500 stadium buildings served as temporary refuges, however, their steel roof joint bolts were damaged.The research is to study damage of connection joints between

会议

jointbolt damageTohoku Japan Earthquakelarge space structureretrofit

Tri-Integrable Couplings of The Giachetti-Johnson Soliton Hierarchy as well as Their Hamiltonian Str

This First we recall the Giachetti-Johnson (G J) soliton hierarchy based on zero curvature equations from semi-direct sums of Lie algebras.And then we apply the approach, which is based on semi-direct

会议

Giachetti-Johnson soliton hierarchytri-integrable couplingzero curvature equat

Stationary Response of Non-Linear System with Caputo-Type Fractional Derivative Damping Under Gaussi

This paper aims to investigate the response of single-degree-of-freedom (SDOF) system with Caputo-type fractional derivative damping term under Gaussian white noise excitation.First, the approximately

会议

Caputostochastic averaging methodresponsepredictor-corrector

Gaussian Colored Noise Induced Escape in a Phenomenological Tumor Growth model: Comparison of Two Me

The aim of this paper is to compare the two analytical approximation techniques for calculating the mean first passage time for a Logistic-type tumor cell growth model with Gaussian colored noise.We r

会议

Singular perturbation analysismean first passage timesmall tau approximationt

Approximation Properties for Solutions to Non-Lipschitz Stochastic Differential Equations with Lévy

In this paper, we consider the non-Lipschitz stochastic differential equations and stochastic functional differential equations with delays driven by Lévy noise, and the approximation theorems for the

会议

Approximation theoremsNon-Lipschitz conditionLevy noiseStochastic differentia

液体晃荡控制问题的非线性动力学模型与数值分析

基于非线性波动理论，流体采用Us-Up状态方程，运用ABAQUS程序自适应网格技术，建立带防晃板的三维储液容器液体晃荡数学模型，通过对其施加水平简谐激励得到液体晃动的固有频率及模态，并将其与解析解对比，验证方法的准确性与可行性。然后，分析了带弹性隔板的储液系统与不带隔板时液体晃荡动力特性，通过改变弹性隔板参数研究液体晃荡特性，并假定在隔板参数保持不变时，分析储液系统液体深度的变化对隔板防晃性能的影

会议

储液容器模态防晃板晃动控制非线性动力响应

随机敏感度函数法在非自治非线性动力系统中的应用

当确定性系统受到强度很小的加性高斯白噪声扰动时，可以定义随机吸引子的概念。随机敏感度函数法是一种估算随机吸引子协方差的有效方法，通过该方法还可以构造置信椭圆对随机吸引子分布范围进行描述。对于微分动力系统，传统计算随机敏感度函数的方法采用迭代的方法，本文针对受弱加性高斯白噪声扰动的非自治微分动力系统，基于频闪映射微分动力系统离散为映射系统，之后采用求解映射系统随机敏感度函数的方法来求解。这种方法只需

会议

随机敏感度函数频闪映射Duffing方程噪声诱导混沌

Effects of Gaussian Colored Noise and External Periodic Force on the Upper Bound of the Time Derivat

其他学术论文