云南高校图书馆联盟文献共享服务平台- 国家自然科学基金(10932009)

国家自然科学基金(10932009): 作品数：18被引量：35H指数：4; 导出分析报告; 相关作者：徐伟应祖光戚鲁媛高维廷朱位秋更多>>; 相关机构：西北工业大学浙江大学渭南师范学院杭州电子科技大学更多>>; 相关期刊：《Theoretical & Applied Mechanics Letters》《力学进展》《物理学报》《Science China(Physics,Mechanics & Astronomy)》更多>>; 相关主题：METHODFAILURESTATIONARYEXCITEDPROBABILITY更多>>; 相关领域：理学自动化与计算机技术电气工程电子电信更多>>

Dynamics of a prey-predator system under Poisson white noise excitation被引量：1: 《Acta Mechanica Sinica》2014年第5期739-745,共7页Shan-Shan Pan Wei-Qiu Zhu; supported by the National Natural Science Foundation of China(10932009,11072212,11272279,and 11321202); The classical Lotka-Volterra （LV） model is a well-known mathematical model for prey-predator ecosystems. In the present paper, the pulse-type version of stochastic LV model, in which the effect of a random natural e...; 关键词：Prey-predator ecosystem Poisson white noise Stochastic averaging- Approximate stationary solution. Per turbation method

Stochastic response of fractional-order van der Pol oscillator被引量：5: 《Theoretical & Applied Mechanics Letters》2014年第1期68-72,共5页Lincong Chen Weiqiu Zhu; supported by the National Natural Science Foundation of China(10932009,11072212,11272279,and 11002059);the Specialized Research Fund for the Doctoral Program of Higher Education(20103501120003);the Fundamental Research Funds for Huaqiao University(JB-SJ1010); We studied the response of fractional-order van de Pol oscillator to Gaussian white noise excitation in this letter. An equivalent integral-order nonlinear stochastic system is obtained to replace the given system bas...; 关键词：fractional-order van de Pol oscillator Gaussian white noise stationary response equivalent nonlinear system method stochastic averaging

拟哈密顿系统非线性随机最优控制被引量：8: 《力学进展》2013年第1期39-55,共17页朱位秋应祖光; 国家自然科学基金重点项目(10932009)和面上项目(11072212;11072215;11272279)资助~~; 主要介绍近十几年来拟哈密顿系统非线性随机最优控制理论方法及其应用的研究成果,包括基于拟哈密顿系统随机平均法与随机动态规划原理的非线性随机最优控制基本策略,即响应极小化控制、随机稳定化、首次穿越损坏最小化控制、以概率密度...; 关键词：拟哈密顿系统非线性随机动力学非线性随机最优控制随机平均随机动态规划

Stochastic responses of Duffing–Van der Pol vibro-impact system under additive colored noise excitation被引量：1: 《Chinese Physics B》2013年第11期159-165,共7页李超徐伟王亮李东喜; Project supported by the National Natural Science Foundation of China(Grant Nos.11172233,10932009,and 11202160);the Natural Science Foundation of Shaanxi Province,China(Grant No.2012JQ1004); A response analysis procedure is developed for a vibro-impact system excited by colored noise. The non-smooth transformation is used to convert the vibro-impact system into a new system without impact term. With the h...; 关键词：vibro-impact system colored noise non-smooth transformation stochastic bifurcation

Asymptotic stability with probability one of MDOF nonlinear oscillators with fractional derivative damping被引量：1: 《Science China(Physics,Mechanics & Astronomy)》2013年第11期2200-2207,共8页CHEN LinCong LI HaiFeng LI ZhongShen ZHU WeiQiu; supported by the National Natural Science Foundation of China(Grant Nos.10932009,11072212,11272279 and 11002059);Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20103501120003);Fujian Province Natural Science Foundation of China(Grant No.2010J05006);Fundamental Research Funds for Huaqiao University(Grant No.JB-SJ1010); In this paper,the asymptotic stability with probability one of multi-degree-of-freedom(MDOF)nonlinear oscillators with fractional derivative damping parametrically excited by Gaussian white noises is investigated.A st...; 关键词：fractional derivative damping nonlinear oscillator stochastic stability Lyapunov exponent

Transient stochastic response of quasi integerable Hamiltonian systems: 《Acta Mechanica Sinica》2013年第4期602-611,共10页Zhong-Hua Liu Jian-Hua Geng Wei-Qiu Zhu; supported by the National Natural Science Foundation of China(10902094,10932009,11072212 and 11272279);the Special Foundation for Young Scientists of Fujian Province of China(2008F3100); The approximate transient response of quasi in- tegrable Hamiltonian systems under Gaussian white noise excitations is investigated. First, the averaged It6 equa- tions for independent motion integrals and the associa...; 关键词：Transient response ~ Stochastic averagingmethod ~ Galerkin method ~ Quasi integrable Hamiltoniansystem

Stochastic response of an axially moving viscoelastic beam with fractional order constitutive relation and random excitations被引量：4: 《Acta Mechanica Sinica》2013年第3期443-451,共9页Di Liu Wei Xu Yong Xu; supported by the National Natural Science Foundation of China (11172233, 10932009 and 10972181);Program for New Century Excellent Talents in University;the Shaanxi Project for Young New Star in Science & Technology;NPU Foundation for Fundamental Research and New Faculties and Research Area Project; A convenient and universal residue calculus method is proposed to study the stochastic response behaviors of an axially moving viscoelastic beam with random noise excitations and fractional order constitutive relation...; 关键词：Axially moving beam Fractional derivatives Kelvin constitutive relationship Stationary nonstationary noise Residue calculus method Stochastic response

色噪声激励的时滞非线性系统瞬态响应研究: 《计算机工程与应用》2013年第7期1-5,80,共6页戚鲁媛徐伟高维廷; 国家自然科学基金(No.11172233,No.10932009,No.61171155);陕西省自然科学基金(No.2012JM8010);西北工业大学博士论文创新基金(No.CX201215); 建立了色噪声与时滞联合作用的非线性系统模型,提出求解其瞬态概率密度的高效近似算法。利用等价变换将时滞系统简化为非时滞系统;通过线性化方法和随机平均原理得到原系统振幅过程的平均It随机微分方程和相应的Fokker-Planck-Kolmogoro...; 关键词：时滞色噪声 FPK方程瞬态概率密度 GALERKIN算法

随机Rayleigh振子瞬态响应及其最优控制: 《科学技术与工程》2013年第4期846-850,855,共6页戚鲁媛徐伟高维廷; 国家自然科学基金(11172233、10932009、61171155);陕西省自然科学基金(2012JM8010);西北工业大学博士论文创新基金(CX201215)资助; 研究了随机Rayleigh振子瞬态响应极最优控制问题。利用随机平均法得到原系统振幅部分平均随机Ito方程。控制力有界,由Bellman动态规划原理得最优控制率,进而推导出系统振幅完全平均Ito方程和相应Fokker-Planck-Kolmogorov方程。基于退...; 关键词：色噪声最优控制 GALERKIN法 Monte—Carlo模拟随机平均法

铁电材料滞回能量捕获能力分析: 《机电工程》2012年第6期686-688,692,共4页陈双琳冯长水; 国家自然科学基金资助项目(10932009);浙江省重中之重科学基金资助项目(未提供); 为解决微机电系统的供电问题,将基于力电耦合智能结构的滞回能量捕获技术应用到微能源技术中。首先对已有的基于压电材料的能量捕获技术展开了分析,介绍了压电材料的发电机理以及铁电材料的优点和自发极化特性,提出了一种将铁电材料用...; 关键词：力电耦合铁电材料压电材料能量捕获微机电系统

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