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Dynamic design of a nonlinear energy sink with NiTiNOL-steel wire ropes based on nonlinear output frequency response functions 被引量:7
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作者 Yewei ZHANG Kefan XU +3 位作者 Jian ZANG Zhiyu NI Yunpeng ZHU Liqun CHEN 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2019年第12期1791-1804,共14页
A novel vibration isolation device called the nonlinear energy sink(NES)with NiTiNOL-steel wire ropes(NiTi-ST)is applied to a whole-spacecraft system.The NiTi-ST is used to describe the damping of the NES,which is cou... A novel vibration isolation device called the nonlinear energy sink(NES)with NiTiNOL-steel wire ropes(NiTi-ST)is applied to a whole-spacecraft system.The NiTi-ST is used to describe the damping of the NES,which is coupled with the modified Bouc-Wen model of hysteresis.The NES with NiTi-ST vibration reduction principle uses the irreversibility of targeted energy transfer(TET)to concentrate the energy locally on the nonlinear oscillator,and then dissipates it through damping in the NES with NiTi-ST.The generalized vibration transmissibility,obtained by the root mean square treatment of the harmonic response of the nonlinear output frequency response functions(NOFRFs),is first used as the evaluation index to analyze the whole-spacecraft system in the future.An optimization analysis of the impact of system responses is performed using different parameters of NES with NiTi-ST based on the transmissibility of NOFRFs.Finally,the effects of vibration suppression by varying the parameters of NiTi-ST are analyzed from the perspective of energy absorption.The results indicate that NES with NiTi-ST can reduce excessive vibration of the whole-spacecraft system,without changing its natural frequency.Moreover,the NES with NiTi-ST can be directly used in practical engineering applications. 展开更多
关键词 NONLINEAR energy sink(NES) vibration isolation NiTiNOL-steel wire ROPE (NiTi-ST) NONLINEAR output frequency response function(NOfrf) ROOT mean square TRANSMISSIBILITY
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Research on the iterative method for model updating based on the frequency response function 被引量:3
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作者 Wei-Ming Li Jia-Zhen Hong 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第2期450-457,共8页
Model reduction technique is usually employed in model updating process. In this paper, a new model updat- ing method named as cross-model cross-frequency response function (CMCF) method is proposed and a new iterat... Model reduction technique is usually employed in model updating process. In this paper, a new model updat- ing method named as cross-model cross-frequency response function (CMCF) method is proposed and a new iterative method associating the model updating method with the mo- del reduction technique is investigated. The new model up- dating method utilizes the frequency response function to avoid the modal analysis process and it does not need to pair or scale the measured and the analytical frequency re- sponse function, which could greatly increase the number of the equations and the updating parameters. Based on the traditional iterative method, a correction term related to the errors resulting from the replacement of the reduction ma- trix of the experimental model with that of the finite element model is added in the new iterative method. Comparisons be- tween the traditional iterative method and the proposed itera- tive method are shown by model updating examples of solar panels, and both of these two iterative methods combine the CMCF method and the succession-level approximate reduc- tion technique. Results show the effectiveness of the CMCF method and the proposed iterative method . 展开更多
关键词 Model updating Model reduction frequency response function ITERATION
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Uncertainty analysis of strain modal parameters by Bayesian method using frequency response function 被引量:3
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作者 徐丽 易伟建 易志华 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2007年第2期183-189,共7页
Structural strain modes are able to detect changes in local structural performance, but errors are inevitably intermixed in the measured data. In this paper, strain modal parameters are considered as random variables,... Structural strain modes are able to detect changes in local structural performance, but errors are inevitably intermixed in the measured data. In this paper, strain modal parameters are considered as random variables, and their uncertainty is analyzed by a Bayesian method based on the structural frequency response function (FRF). The estimates of strain modal parameters with maximal posterior probability are determined. Several independent measurements of the FRF of a four-story reinforced concrete flame structural model were performed in the laboratory. The ability to identify the stiffness change in a concrete column using the strain mode was verified. It is shown that the uncertainty of the natural frequency is very small. Compared with the displacement mode shape, the variations of strain mode shapes at each point are quite different. The damping ratios are more affected by the types of test systems. Except for the case where a high order strain mode does not identify local damage, the first order strain mode can provide an exact indication of the damage location. 展开更多
关键词 frequency response function UNCERTAINTY strain mode Bayesian method local damage damage detection concrete flame
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Crack detection using a frequency response function in offshore platforms 被引量:4
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作者 ZHANG Zhao-de CHEN Shuai 《Journal of Marine Science and Application》 2007年第3期1-5,共5页
Structural cracks can change the frequency response function (FRF) of an offshore platform. Thus, FRF shifts can be used to detect cracks. When a crack at a specific location and magnitude occurs in an offshore struct... Structural cracks can change the frequency response function (FRF) of an offshore platform. Thus, FRF shifts can be used to detect cracks. When a crack at a specific location and magnitude occurs in an offshore structure, changes in the FRF can be measured. In this way, shifts in FRF can be used to detect cracks. An experimental model was constructed to verify the FRF method. The relationship between FRF and cracks was found to be non-linear. The effect of multiple cracks on FRF was analyzed, and the shift due to multiple cracks was found to be much more than the summation of FRF shifts due to each of the cracks. Then the effects of noise and changes in the mass of the jacket on FRF were evaluated. The results show that significant damage to a beam can be detected by dramatic changes in the FRF, even when 10% random noise exists. FRF can also be used to approximately locate the breakage, but it can neither be efficiently used to predict the location of breakage nor the existence of small hairline cracks. The FRF shift caused by a 7% mass change is much less than the FRF shift caused by the breakage of any beam, but is larger than that caused by any early cracks. 展开更多
关键词 offshore platform crack detection numerical simulation frequency response function
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Dynamics Analysis of Active Variable Stiffness Vibration Isolator for Whole-Spacecraft Systems Based on Nonlinear Output Frequency Response Functions 被引量:3
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作者 Kefan Xu Yewei Zhang +2 位作者 Yunpeng Zhu Jian Zang Liqun Chen 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2020年第6期731-743,共13页
In order to improve the harsh dynamic environment experienced by heavy rockets during different external excitations,this study presents a novel active variable stiffness vibration isolator(AVS-VI)used as the vibratio... In order to improve the harsh dynamic environment experienced by heavy rockets during different external excitations,this study presents a novel active variable stiffness vibration isolator(AVS-VI)used as the vibration isolation device to reduce excessive vibration of the whole-spacecraft isolation system.The AVS-VI is composed of horizontal stiffness spring,positive stiffness spring,parallelogram linkage mechanism,piezoelectric actuator,acceleration sensor,viscoelastic damping,and PID active controller.Based on the AVS-VI,the generalized vibration transmissibility determined by the nonlinear output frequency response functions and the energy absorption rate is applied to analyze the isolation performance of the whole-spacecraft system with AVS-VI.The AVS-VI can conduct adaptive vibration suppression with variable stiffness to the whole-spacecraft system,and the analysis results indicate that the AVS-VI is efTective in reducing the extravagant vibration of the whole-spacecraft system,where the vibration isolation is decreased up to above 65%under different acceleration excitations.Finally,different parameters of AVS-VI are considered to optimize the whole-spacecraft system based on the generalized vibration transmissibility and the energy absorption rate. 展开更多
关键词 Vibration isolation Active variable stiffness vibration isolator Nonlinear output frequency response functions(NOfrfs) TRANSMISSIBILITY
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Pilot study on the Non-Invasive Detectability of Femoral Neck Fractures with Frequency Response Functions
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作者 Wolfgang Witteveen Carina Wagner +2 位作者 Patrick Jachs Stefan Froschauer Harald Schoffl 《World Journal of Mechanics》 2014年第7期210-216,共7页
A suspicion of a femoral neck fracture is a frequently recurring situation, especially in nursing homes. For the clarification of such a suspicion normally imaging techniques are used. Such equipment is expensive and ... A suspicion of a femoral neck fracture is a frequently recurring situation, especially in nursing homes. For the clarification of such a suspicion normally imaging techniques are used. Such equipment is expensive and therefore is located in hospitals. In addition to the costs, a transport causes stress for the patient. This pilot study is devoted to the question whether the detection of a femoral neck fracture with vibration measurements is possible in principal. In such a case, the clarification could be done on-site by an ordinary person using much cheaper equipment. This would reduce the stress for the patient and save money. For this purpose vibration measurements on a dead body with intact, with partially fractured and with complete cut femoral neck have been performed. Two different methods for the vibration initiation have been investigated, the so called impact testing and the shaker testing. The frequency response function has been determined for all combinations on both sides of the body. It turned out that there is a clear difference in the frequency response functions of the fractured bone with respect to the intact bone when shaker testing is used. This indicates that the method could have the potential to be a cost-saving alternative to imaging techniques. However, in a next step a statistically reliable clinical survey on living persons needs to be done. 展开更多
关键词 BIOMECHANICS Vibrations frequency response function frf Femoral Neck Fracture
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Tool Condition Monitoring Based on Nonlinear Output Frequency Response Functions and Multivariate Control Chart
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作者 Yufei Gui Ziqiang Lang +1 位作者 Zepeng Liu Hatim Laalej 《Journal of Dynamics, Monitoring and Diagnostics》 2023年第4期243-251,共9页
Tool condition monitoring(TCM)is a key technology for intelligent manufacturing.The objective is to monitor the tool operation status and detect tool breakage so that the tool can be changed in time to avoid significa... Tool condition monitoring(TCM)is a key technology for intelligent manufacturing.The objective is to monitor the tool operation status and detect tool breakage so that the tool can be changed in time to avoid significant damage to workpieces and reduce manufacturing costs.Recently,an innovative TCM approach based on sensor data modelling and model frequency analysis has been proposed.Different from traditional signal feature-based monitoring,the data from sensors are utilized to build a dynamic process model.Then,the nonlinear output frequency response functions,a concept which extends the linear system frequency response function to the nonlinear case,over the frequency range of the tooth passing frequency of the machining process are extracted to reveal tool health conditions.In order to extend the novel sensor data modelling and model frequency analysis to unsupervised condition monitoring of cutting tools,in the present study,a multivariate control chart is proposed for TCM based on the frequency domain properties of machining processes derived from the innovative sensor data modelling and model frequency analysis.The feature dimension is reduced by principal component analysis first.Then the moving average strategy is exploited to generate monitoring variables and overcome the effects of noises.The milling experiments of titanium alloys are conducted to verify the effectiveness of the proposed approach in detecting excessive flank wear of solid carbide end mills.The results demonstrate the advantages of the new approach over conventional TCM techniques and its potential in industrial applications. 展开更多
关键词 intelligent manufacturing multivariate control chart Nonlinear Autoregressive with eXogenous Input modelling Nonlinear Output frequency response functions tool condition monitoring
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Spinal Cord Stimulation Frequency Influences the Hemodynamic Response in Patients with Disorders of Consciousness 被引量:12
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作者 Juanning Si Yuanyuan Dang +7 位作者 Yujin Zhang Yaxin Li Wenyue Zhang Yi Yang Yue Cui Xiaoping Lou Jianghong He Tianzi Jiang 《Neuroscience Bulletin》 SCIE CAS CSCD 2018年第4期659-667,共9页
Spinal cord stimulation (SCS) is a promising technique for treating disorders of consciousness (DOCs). However, differences in the spatio-temporal responsiveness of the brain under varied SCS parameters remain unc... Spinal cord stimulation (SCS) is a promising technique for treating disorders of consciousness (DOCs). However, differences in the spatio-temporal responsiveness of the brain under varied SCS parameters remain unclear. In this pilot study, functional near-infrared spectroscopy was used to measure the hemodynamic responses of 10 DOC patients to different SCS frequencies (5 Hz, 10 Hz, 50 Hz, 70 Hz, and 100 Hz). In the prefrontal cortex, a key area in consciousness circuits, we found significantly increased hemodynamic responses at 70 Hz and 100 Hz, and significantly different hemodynamic responses between 50 Hz and 70 Hz/100 Hz. In addition, the functional connectivity between prefrontal and occipital areas was significantly improved with SCS at 70 Hz. These results demonstrated that SCS modulates the hemodynamic responses and long-range connectivity in a frequency-specific manner (with 70 Hz apparently better), perhaps by improving the cerebral blood volume and information transmission through the reticular formation-thalamus-cortex pathway. 展开更多
关键词 Disorder of consciousness - Spinal cord stim-ulation frequency functional near-infrared spectroscopy Hemodynamic response
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Influence of porosity distribution on nonlinear free vibration and transient responses of porous functionally graded skew plates 被引量:5
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作者 Naveen Kumar H S Subhaschandra Kattimani TNguyen-Thoi 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第6期1918-1935,共18页
This article deals with the investigation of the effects of porosity distributions on nonlinear free vibration and transient analysis of porous functionally graded skew(PFGS)plates.The effective material properties of... This article deals with the investigation of the effects of porosity distributions on nonlinear free vibration and transient analysis of porous functionally graded skew(PFGS)plates.The effective material properties of the PFGS plates are obtained from the modified power-law equations in which gradation varies through the thickness of the PFGS plate.A nonlinear finite element(FE)formulation for the overall PFGS plate is derived by adopting first-order shear deformation theory(FSDT)in conjunction with von Karman’s nonlinear strain displacement relations.The governing equations of the PFGS plate are derived using the principle of virtual work.The direct iterative method and Newmark’s integration technique are espoused to solve nonlinear mathematical relations.The influences of the porosity distributions and porosity parameter indices on the nonlinear frequency responses of the PFGS plate for different skew angles are studied in various parameters.The effects of volume fraction grading index and skew angle on the plate’s nonlinear dynamic responses for various porosity distributions are illustrated in detail. 展开更多
关键词 Porous functionally graded skew plates Porosity distributions Nonlinear transient response Nonlinear frequency ratio Nonlinear frequency parameter
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A Contribution to the Analysis of Frequency Response and Impedance Measurements to Evaluation and Diagnosis of Power Transformers
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作者 Helvio J. A. Martins Cintia de Faria Ferreira Bruno Urbani 《高电压技术》 EI CAS CSCD 北大核心 2008年第12期2655-2661,共7页
This paper has an objective to show a developed quantitative criterion,based in two mathematical variables that explicit the deviation degree of a normal situation,applying simultaneously data from terminal impedances... This paper has an objective to show a developed quantitative criterion,based in two mathematical variables that explicit the deviation degree of a normal situation,applying simultaneously data from terminal impedances and frequency response.Based in more than 100-measured equipment,of different applications(step-up transformer,transmission transformer,etc.,),for a period of 10 years,the work presents some examples of practical application of this methodology in Brazilian Electrical System. 展开更多
关键词 变压器 评估 诊断 频响 阻抗 传输函数 关联系数
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Analysis of Dynamic Cross Response between Spindles in a Dual Spindle Type Multi-Functional Turning Machine
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作者 Y. H. Choi S. T. Kim +1 位作者 T. Y. Seo K. H. Kim 《Journal of Power and Energy Engineering》 2013年第7期20-24,共5页
In order to meet increasing demand for higher productivity and flexibility, recently many kinds of multi-functional machine tools, which are capable of multiple machining functions or different kinds of machining proc... In order to meet increasing demand for higher productivity and flexibility, recently many kinds of multi-functional machine tools, which are capable of multiple machining functions or different kinds of machining processes on one machine, have been developed and widely used in manufacturing industries. In this study, a multi-functional turning lathe, which has two spindles and two turrets so that multiple turning operations and various machining processes could be performed simultaneously, has been developed. Furthermore, the equations of correlation between whole responses and cross responses of the two spindles have been derived to examine to what extent the two spindles affect each other’s vibrations. 展开更多
关键词 Multi-functional LATHE Multi-Spindles frequency response CROSS response FEM Structural ANALYSIS
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一类非线性动态系统的非参数GFRF 模型辨识(英文) 被引量:36
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作者 韩崇昭 王立琦 +1 位作者 唐晓泉 党映农 《控制理论与应用》 EI CAS CSCD 北大核心 1999年第6期816-819,825,共5页
本文对一类用多项式描述的非线性动态系统提出使用GFRF模型类的非参数辨识算法.这种算法的显著特点是需要很小的计算量和存储空间,而且辨识精度较高.仿真结果表明这种非参数模型辨识算法是有效的,而且由辨识方法获得的模型一般... 本文对一类用多项式描述的非线性动态系统提出使用GFRF模型类的非参数辨识算法.这种算法的显著特点是需要很小的计算量和存储空间,而且辨识精度较高.仿真结果表明这种非参数模型辨识算法是有效的,而且由辨识方法获得的模型一般具有很好的泛化能力,因而是一种具有重要应用前景的实用方法. 展开更多
关键词 非线性动态系统 Gfrf模型 非参数模糊辨识
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基于NOFRF裂纹转子非线性频谱分析 被引量:7
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作者 武红霞 韩捷 +1 位作者 陈宏 秦东晨 《机械强度》 CAS CSCD 北大核心 2017年第6期1271-1274,共4页
建立了裂纹转子非线性逼近模型,论述了非线性输出频域响应函数(NOFRF)及其非线性频谱分析理论,基于该理论对裂纹转子系统的各阶NOFRF进行了仿真分析,该分析结果说明了裂纹转子系统新频域成份是如何产生的,对裂纹转子的超谐波成份和亚共... 建立了裂纹转子非线性逼近模型,论述了非线性输出频域响应函数(NOFRF)及其非线性频谱分析理论,基于该理论对裂纹转子系统的各阶NOFRF进行了仿真分析,该分析结果说明了裂纹转子系统新频域成份是如何产生的,对裂纹转子的超谐波成份和亚共振现象进行了解释,并进行了试验分析,结果表明了高阶NOFRF比一阶对转子裂纹深度更敏感,为裂纹转子的精确故障诊断提供了理论基础。 展开更多
关键词 裂纹转子 非线性频谱 故障诊断 NOfrf
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工程系统健康描述及基于GFRF方法的健康监测 被引量:3
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作者 高占宝 李行善 +1 位作者 梁旭 于劲松 《北京航空航天大学学报》 EI CAS CSCD 北大核心 2006年第9期1026-1030,共5页
健康管理概念是伴随着工程系统应用而产生的.针对目前复杂系统综合健康管理技术领域缺乏有效的系统健康表示方法的问题,提出了健康向量、健康指数、健康函数、健康态变映射、健康状态映射等一系列描述工程系统健康的基本概念.与传统的... 健康管理概念是伴随着工程系统应用而产生的.针对目前复杂系统综合健康管理技术领域缺乏有效的系统健康表示方法的问题,提出了健康向量、健康指数、健康函数、健康态变映射、健康状态映射等一系列描述工程系统健康的基本概念.与传统的部件状态参数描述方法相比,引入健康向量等概念可以全面地描述系统级健康,并且能够有效地刻画系统健康的动态变化本质.分析了Volterra级数系统描述方法和广义频率响应函数分析技术,利用系统健康形式化定义构建系统健康向量,讨论了一类非线性系统基于广义频率响应函数的健康监测技术.以非线性弹簧-阻尼-质量块系统为研究对象,通过仿真计算,给出了系统健康监测数据与系统健康指数的对应关系.仿真实验结果证明了系统健康形式化描述方法的有效性以及基于广义频率响应函数健康监测方法的可行性. 展开更多
关键词 系统健康 健康向量 健康指数 广义频率响应函数 健康监测
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基于NARMAX模型和NOFRF结构损伤检测的实验研究 被引量:6
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作者 程长明 彭志科 孟光 《动力学与控制学报》 2013年第1期89-96,共8页
非线性输出频率响应函数是由Volterra级数发展而来的频域概念,可方便在频域对非线性系统进行分析,它是频率的一维函数.本文主要介绍了利用NARMAX模型以及NOFRF对结构进行损伤检测的方法,并利用实验研究证实了该损伤检测方法的可行性.另... 非线性输出频率响应函数是由Volterra级数发展而来的频域概念,可方便在频域对非线性系统进行分析,它是频率的一维函数.本文主要介绍了利用NARMAX模型以及NOFRF对结构进行损伤检测的方法,并利用实验研究证实了该损伤检测方法的可行性.另外,由于系统非线性特性可用来做结构损伤检测,且具有对系统状态比较敏感的优点,而基于NOFRF的损伤检测方法是利用非线性方法来分析系统的状态,该方法提取出的特征属于非线性特征,所以该损伤检测方法可以用来做结构损伤检测,且具有对系统状态比较敏感的优点. 展开更多
关键词 VOLTERRA级数 NARMAX模型 非线性输出频率响应函数 广义频率响应函数 损伤检测
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基于GFRF的二次调节流量耦联系统的频域非线性H∞控制
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作者 姜继海 刘海昌 OKOYE Celestine 《控制理论与应用》 EI CAS CSCD 北大核心 2008年第1期91-94,99,共5页
二次调节流量耦联系统为非线性系统,在Volterra级数描述该系统的基础上,通过SISO多项式类非线性系统的GFRF递推算式获得二次调节流量耦联系统的广义频率响应函数GFRF(generalized frequency response function).基于系统的GFRF,在频域... 二次调节流量耦联系统为非线性系统,在Volterra级数描述该系统的基础上,通过SISO多项式类非线性系统的GFRF递推算式获得二次调节流量耦联系统的广义频率响应函数GFRF(generalized frequency response function).基于系统的GFRF,在频域内应用非线性控制理论为系统设计了镇定控制器和非线性H∞控制器,不仅使系统稳定,而且能达到无超调、无稳态误差.此外,在白噪声条件下证明该控制器比线性控制器抗干扰性强. 展开更多
关键词 广义频域响应函数 流量耦联系统 VOLTERRA级数 非线性H∞控制 频域
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一种直升机舵机的GFRF模型辨识方法
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作者 张华君 韩崇昭 +1 位作者 王立琦 段富海 《系统仿真学报》 CAS CSCD 2003年第8期1085-1087,共3页
改进了以多音组合正弦信号为持续激励信号的非线性系统GFRF非参数模型辨识方法,并成功地利用该方法辨识出某型直升机并联电动舵机的GFRF模型.实践表明,改进后的辨识方法辨识精度高且稳定,只需很小的计算量和数据存储空间,是一种有效的... 改进了以多音组合正弦信号为持续激励信号的非线性系统GFRF非参数模型辨识方法,并成功地利用该方法辨识出某型直升机并联电动舵机的GFRF模型.实践表明,改进后的辨识方法辨识精度高且稳定,只需很小的计算量和数据存储空间,是一种有效的非线性系统辨识方法,具有重要的工程实际应用价值. 展开更多
关键词 非线性系统 广义频率响应函数 非参数模型辨识 直升机 电动舵机
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Structural dynamic responses of a stripped solar sail subjected to solar radiation pressure 被引量:6
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作者 Junhui ZHANG Na WU +1 位作者 An TONG Yinghua LIU 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第8期2204-2211,共8页
The stripped solar sail whose membrane is divided into separate narrow membrane strips is believed to have the best structural efficiency.In this paper,the stripped solar sail structure is regarded as an assembly made... The stripped solar sail whose membrane is divided into separate narrow membrane strips is believed to have the best structural efficiency.In this paper,the stripped solar sail structure is regarded as an assembly made by connecting a number of boom-strip components in sequence.Considering the coupling effects between booms and membrane strips,an exact and semianalytical method to calculate structural dynamic responses of the stripped solar sail subjected to solar radiation pressure is established.The case study of a 100 m stripped solar sail shows that the stripped architecture helps to reduce the static deflections and amplitudes of the steady-state dynamic response.Larger prestress of the membrane strips will decrease stiffness of the sail and increase amplitudes of the steady-state dynamic response.Increasing thickness of the boom will benefit to stability of the sail and reduce the resonant amplitudes.This proposed semi-analytical method provides an efficient analysis tool for structure design and attitude control of the stripped solar sail. 展开更多
关键词 Distributed transfer function method frequency response Solar radiation pressure Solar sail Structural dynamic response
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Response Characteristics of Load on Vessels in Waves 被引量:2
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作者 钱昆 王言英 王大政 《China Ocean Engineering》 SCIE EI 1999年第3期301-307,共7页
Considering the requirement of direct design and fatigue test for ships and floating structures by use of FEM technique, a computational procedure of spectral analysis for wave load on the hull surface is developed in... Considering the requirement of direct design and fatigue test for ships and floating structures by use of FEM technique, a computational procedure of spectral analysis for wave load on the hull surface is developed in this paper. The response of hydrodynamic pressure on the body surface to a designated sea state for ships and floating structures is calculated by use of the revised strip method with the hull bound perturbation flow concept. The spectral function of wave load for the defined point on the body surface can be determined from the Wiener-Khinhine theorem and the characteristic load value can be also obtained from spectral moment analysis. A container ship is taken as a computational example acid the sample of wave load with a certain probability and corresponding encountered frequency is provided. 展开更多
关键词 wave spectrum frequency response function strip approach
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Nonlinear oscillations of sigmoid functionally graded material plates moving in longitudinal direction 被引量:1
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作者 Yanqing WANG J.W.ZU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第11期1533-1550,共18页
Geometrically nonlinear oscillations are investigated on sigmoid functionally graded material (S-FGM) plates with a longitudinal speed. The material properties of the plates obey a sigmoid distribution rule along th... Geometrically nonlinear oscillations are investigated on sigmoid functionally graded material (S-FGM) plates with a longitudinal speed. The material properties of the plates obey a sigmoid distribution rule along the thickness direction. Based on the D'Alembert's principle, a nonlinear equation of motion is derived for the moving S-FGM plates, where the von K^rm^n nonlinear plate theory is adopted. Utilizing the Galerkin method, the equation of motion is discretized and solved via the method of harmonic bal- ance. The approximate analytical solutions are validated through the adaptive step-size fourth-order Runge-Kutta method. Besides, the stability of the steady-state solutions is examined. The results reveal that the mode interaction behavior can happen between the first two modes of the moving S-FGM plates, leading to a complex nonlinear frequency response. It is further found that the power-law index, the longitudinal speed, the exci- tation amplitude, and the in-plane pretension force can significantly affect the nonlinear frequency-response characteristics of longitudinally traveling S-FGM plates. 展开更多
关键词 sigmoid functionally graded material (S-FGM) plate MOVING nonlinearoscillation method of harmonic balance frequency response
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