harmonic differential equation
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In this paper, we extend the A-harmonic e equation from the constant differential form which values in zero to any differential form, that is p-harmonic type equation.
在本文中,我们主要是把A-调和方程从取特殊值0的常微分形式推广到任意给定的微分形式,即p-调和类型方程。
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Based on the modem FEM with the dynamic substructure method, itd dynamic equation is established with almost no limits to DOFs of the system, in which the left side is the first approach of the nonlinear system and the right side is the excitation and coupling nonlinear pseudo forces. The modal analysis method is used to get the eigen solution to the reduced linear homogeneous dynamic differential equation. When the system is excited by the harmonic excitation at the right side of the equation, the nonlinear dynamic response can be calculated by the numerical method to give quantitative analysis.
基于近代有限元和子结构模态综合法的动力学建模方法,获得非线性系统动力学微分方程,其自由度几乎没有限制,对左端首次近似齐次方程进行模态分析,选取对响应有贡献的部分本征对,同样对右端激励和非线性伪力作模态变换,得到减缩后非线性系统耦合动力学微分方程。
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When the geometric similitude ratio of the model to the prototype was determined and the loading similitude condition was satisfied by using similitude theory in structure modeling and experimental techniques, the prototype soil parameters were derived according to the model test result. The vibrating wheel compelled by harmonic exciting force was treated as a lumped mass vibrating system by equation equity method. By using this mechanical model in vibrating compaction, soil parameters were identified according to the equivalence of vibrating differential equation. The curve fitting method of amplitude versus frequency response was used for dynamic simulation based on the systematic dynamic equation of vibrating roller-soil system.
用相似理论与模型试验法在确定了模型与原型之间的几何相似比并满足载荷相似条件后,根据模型试验结果推导出了原型土体参数;用方程对等法把受简谐激振力作用的振动轮等效为集中质量振动系统,以此作为振动压实过程的力学模型,根据振动微分方程的等效条件进行识别;用幅频特性曲线拟合法以振动压路机-土壤系统动力学方程为基础,用计算机进行动态仿真。
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harmonic differential equation:低微分方程
harmonic curve 低曲线 | harmonic differential equation 低微分方程 | harmonic division 低分割
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quasi harmonic differential equation:拟低微分方程
quasi geodesic 拟测地线 | quasi harmonic differential equation 拟低微分方程 | quasi homeomorphic space 拟同胚空间