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结构参数对静电驱动微机械陀螺动态性能的影响 被引量:1
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作者 李欣业 王雅雪 +2 位作者 张华彪 张利娟 于涛 《应用数学和力学》 CSCD 北大核心 2021年第12期1248-1257,共10页
为研究结构参数对静电驱动微机械陀螺动态性能的影响,考虑支承刚度的三次非线性和静电力的分式非线性,基于两自由度动力学模型,利用谐波平衡法结合留数定理求解了系统的周期响应,得到了驱动电极的梳齿厚度、梳齿间隙以及检测电极的极板... 为研究结构参数对静电驱动微机械陀螺动态性能的影响,考虑支承刚度的三次非线性和静电力的分式非线性,基于两自由度动力学模型,利用谐波平衡法结合留数定理求解了系统的周期响应,得到了驱动电极的梳齿厚度、梳齿间隙以及检测电极的极板面积、极板间隙变化时电容变化量随驱动力频率和载体角速度的变化曲线,以及电容灵敏度和非线性度随这些参数的变化曲线.结果表明,检测电容变化量随驱动力频率的变化曲线会呈现明显的非线性特征,即第二个峰向右倾斜,从而引起跳跃现象.驱动电极的梳齿厚度、梳齿间隙和检测电极的极板间隙对检测电容变化量随载体角速度的变化影响较大,而检测电极的极板面积的影响很小.驱动电极梳齿厚度、梳齿间隙以及检测电极的极板面积对电容灵敏度和非线性度的影响基本上是线性的,但检测电极的极板间隙对电容灵敏度和非线性度的影响是非线性的. 展开更多
关键词 微机械陀螺 三次非线性 分式非线性静电力 周期响应 灵敏分析 非线性度分析
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Numerical evaluation of buckling behavior in space structure considering geometrical parameters with joint rigidity 被引量:7
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作者 Su-Deok Shon Kyung-Ju Hwang Seung-Jae Lee 《Journal of Central South University》 SCIE EI CAS 2014年第3期1115-1124,共10页
The buckling behavior of single layer space structure is very sensitive. The joint rigidity, moreover, is one of the main factors of stability which may determine the entire failure behavior. Thus, the reasonable stif... The buckling behavior of single layer space structure is very sensitive. The joint rigidity, moreover, is one of the main factors of stability which may determine the entire failure behavior. Thus, the reasonable stiffness of joint system, which is neither total pin assumption nor perfect fix condition, is very important to apply to the real single layer space one. Therefore, the purpose of this work was to investigate the buckling behavior of single layer space structure, using the development of the upgraded stiffness matrix for the joint rigidity. To derive tangential stiffness matrix, a displacement function was assumed using translational and rotational displacement at the node. The geometrical nonlinear analysis was simulated not only with perfect model but also with imperfect one. As a result, the one and two free nodal numerical models were investigated using derived stiffness matrix. It was figured out that the buckling load increases in proportion to joint rigidity with rise-span ratio. The stability of numerical model is very sensitive with the initial imperfection, responding of bifurcation in the structure. 展开更多
关键词 space frame geometric nonlinearity SNAP-THROUGH BIFURCATION initial imperfection joint rigidity
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Modeling and monitoring of nonlinear multi-mode processes based on similarity measure-KPCA 被引量:10
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作者 WANG Xiao-gang HUANG Li-wei ZHANG Ying-wei 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第3期665-674,共10页
A new modeling and monitoring approach for multi-mode processes is proposed.The method of similarity measure(SM) and kernel principal component analysis(KPCA) are integrated to construct SM-KPCA monitoring scheme,wher... A new modeling and monitoring approach for multi-mode processes is proposed.The method of similarity measure(SM) and kernel principal component analysis(KPCA) are integrated to construct SM-KPCA monitoring scheme,where SM method serves as the separation of common subspace and specific subspace.Compared with the traditional methods,the main contributions of this work are:1) SM consisted of two measures of distance and angle to accommodate process characters.The different monitoring effect involves putting on the different weight,which would simplify the monitoring model structure and enhance its reliability and robustness.2) The proposed method can be used to find faults by the common space and judge which mode the fault belongs to by the specific subspace.Results of algorithm analysis and fault detection experiments indicate the validity and practicability of the presented method. 展开更多
关键词 process monitoring kernel principal component analysis (KPCA) similarity measure subspace separation
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Determination of reasonable finished state of self-anchored suspension bridges 被引量:6
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作者 李建慧 冯东明 +1 位作者 李爱群 袁辉辉 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第1期209-219,共11页
A systematic and generic procedure for the determination of the reasonable finished state of self-anchored suspension bridges is proposed, the realization of which is mainly through adjustment of the hanger tensions. ... A systematic and generic procedure for the determination of the reasonable finished state of self-anchored suspension bridges is proposed, the realization of which is mainly through adjustment of the hanger tensions. The initial hanger tensions are first obtained through an iterative analysis by combining the girder-tower-only finite element(FE) model with the analytical program for shape finding of the spatial cable system. These initial hanger tensions, together with the corresponding cable coordinates and internal forces, are then included into the FE model of the total bridge system, the nonlinear analysis of which involves the optimization technique. Calculations are repeated until the optimization algorithm converges to the most optimal hanger tensions(i.e. the desired reasonable finished bridge state). The "temperature rigid arm" is introduced to offset the unavoidable initial deformations of the girder and tower, which are due to the huge axial forces originated from the main cable. Moreover, by changing the stiffness coefficient K in the girder-tower-only FE model, the stiffness proportion of the main girder, the tower or the cable subsystem in the whole structural system could be adjusted according to the design intentions. The effectiveness of the proposed method is examined and demonstrated by one simple tutorial example and one self-anchored suspension bridge. 展开更多
关键词 self-anchored suspension bridge reasonable finished bridge state optimization algorithm finite element nonlinear relation
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Development of dynamic-mathematical model of hydraulic excavator 被引量:7
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作者 Vujic Dragoljub Lazarevic Olgica Batinic Vojislav 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第9期2010-2018,共9页
This work deals with analysis of dynamic behaviour of hydraulic excavator on the basis of developed dynamic-mathematical model.The mathematical model with maximum five degrees of freedom is extended by new generalized... This work deals with analysis of dynamic behaviour of hydraulic excavator on the basis of developed dynamic-mathematical model.The mathematical model with maximum five degrees of freedom is extended by new generalized coordinate which represents rotation around transversal main central axis of inertia of undercarriage.The excavator is described by a system of six nonlinear,nonhomogenous differential equations of the second kind.Numerical analysis of the differential equations has been done for BTH-600 hydraulic excavator with moving mechanism with pneumatic wheels. 展开更多
关键词 hydraulic excavator dynamic behaviour dynamic-mathematical model
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Upper bound analysis of slope stability with nonlinear failure criterion based on strength reduction technique 被引量:25
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作者 赵炼恒 李亮 +2 位作者 杨峰 罗强 刘项 《Journal of Central South University》 SCIE EI CAS 2010年第4期836-844,共9页
Based on the upper bound limit analysis theorem and the shear strength reduction technique, the equation for expressing critical limit-equilibrium state was employed to define the safety factor of a given slope and it... Based on the upper bound limit analysis theorem and the shear strength reduction technique, the equation for expressing critical limit-equilibrium state was employed to define the safety factor of a given slope and its corresponding critical failure mechanism by means of the kinematical approach of limit analysis theory. The nonlinear shear strength parameters were treated as variable parameters and a kinematically admissible failure mechanism was considered for calculation schemes. The iterative optimization method was adopted to obtain the safety factors. Case study and comparative analysis show that solutions presented here agree with available predictions when nonlinear criterion reduces to linear criterion, and the validity of present method could be illuminated. From the numerical results, it can also be seen that nonlinear parameter rn, slope foot gradient ,β, height of slope H, slope top gradient a and soil bulk density γ have significant effects on the safety factor of the slope. 展开更多
关键词 nonlinear failure criterion strength reduction method upper-bound theorem of limit analysis slope stability analysis factor of safety
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