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根部约束为随机变量时汽轮机叶片静动频率概率分析 被引量:9
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作者 安利强 王璋奇 彭震中 《中国电机工程学报》 EI CSCD 北大核心 2005年第19期86-90,共5页
依据汽轮机叶片的实际工作情况,将汽轮机叶片根部约束简化为随机变量,该文提出了叶片静动频率的概率分析方法;应用能量法给出了叶根约束为随机变量时叶片振动频率的特征值方程;基于矩阵摄动分析技术推导出了叶片动静频率对叶片根部随机... 依据汽轮机叶片的实际工作情况,将汽轮机叶片根部约束简化为随机变量,该文提出了叶片静动频率的概率分析方法;应用能量法给出了叶根约束为随机变量时叶片振动频率的特征值方程;基于矩阵摄动分析技术推导出了叶片动静频率对叶片根部随机刚度的敏感度矩阵、叶片静动频率均值、协方差矩阵和变异系数(Ccov)公式,频率的变异系数从概率角度描述了频率的分散程度。最后通过实例研究根部约束刚度均值和变异系数对叶片静动频率的均值和变异系数的影响。 展开更多
关键词 热能力工程 随机约束 叶片 静动频率 概率 分析
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Numerical simulation research on response characteristics of surrounding rock for deep super-large section chamber under dynamic and static combined loading condition 被引量:13
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作者 FAN De-yuan LIU Xue-sheng +3 位作者 TAN Yun-liang SONG Shi-lin NING Jian-guo MA Qing 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第12期3544-3566,共23页
The stability control of surrounding rock for large or super-large section chamber is a difficult technical problem in deep mining condition.Based on the in-site geological conditions of Longgu coal mine,this paper us... The stability control of surrounding rock for large or super-large section chamber is a difficult technical problem in deep mining condition.Based on the in-site geological conditions of Longgu coal mine,this paper used the dynamic module of FLAC3D to study the response characteristics of deep super-large section chamber under dynamic and static combined loading condition.Results showed that under the static loading condition,the maximum vertical stress,deformation and failure range are large,where the stress concentration coefficient is 1.64.The maximum roof-to-floor and two-sides deformations are 54.6 mm and 53.1 mm,respectively.Then,under the dynamic and static combined loading condition:(1)The influence of dynamic load frequency on the two-sides is more obvious;(2)The dynamic load amplitude has the greatest influence on the stress concentration degree,and the plastic failure tends to develop to the deeper;(3)With the dynamic load source distance increase,the response of surrounding rock is gradually attenuated.On this basis,empirical equations for each dynamic load conditions were obtained by using regression analysis method,and all correlation coefficients are greater than 0.99.This research provided reference for the supporting design of deep super-large section chamber under same or similar conditions. 展开更多
关键词 deep mining super-larger section chamber static load dynamic load frequency dynamic load amplitude dynamic load source distance
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Frequency comb in a parametrically modulated micro-resonator
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作者 Xuefeng Wang Qiqi Yang +5 位作者 Zhan Shi Ronghua Huan Weiqiu Zhu Xingjian Jing Zichen Deng Xueyong Wei 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2022年第11期79-88,共10页
In this paper,we report the frequency comb response experimentally and analytically in a rhombic micro-resonator with parametrical modulation.When the electrostatically actuated rhombic micro-resonator is modulated ax... In this paper,we report the frequency comb response experimentally and analytically in a rhombic micro-resonator with parametrical modulation.When the electrostatically actuated rhombic micro-resonator is modulated axially by a low-frequency periodic excitation,a comb-like vibration response with few equidistant positioned fingers in the frequency domain is observed.The finger spacing of frequency comb response is exactly consistent with modulation frequency and the number and amplitude of the fingers can be tuned by modulation strength.A mixed frequency comb with extra comb fingers is further generated when the resonator is modulated simultaneously by two different low-frequency excitation signals.By adjusting the relation of the two modulation frequencies,unequal spacing frequency combs are achieved for the first time,which leads to a more flexible tunability of the comb spacing for different applications.Theoretical analysis based on the dynamic model well explains the corresponding observations. 展开更多
关键词 MICRO-RESONATOR Nonlinear dynamics VIBRATION Parametrical modulation Frequency comb
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