radical equation

radical equation的基本解释

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无理方程

与radical equation相关的网络例句 [注：此内容来源于网络，仅供参考]

In this topic, the dynamic analysis methods for piezoelectric vibrator are studied systematically based on the theoretical model, FEM numerical experimentation and FEM governing equation for given compound-mode vibrator, and some valuable conclusions are obtained. The main work accomplished is summarized as follows: 1.Elaborate the main modeling methods for piezoelectric vibrator and the significance and necessity to study the dynamic characteristics of piezoelectric vibrator which emphasize the urgency of this paper. 2.Take the bending deformation induced by piezoelectric ceramic as example, the energy transfer mechanism of electric energy to mechanical energy are analyzed; the motion and force transfer mechanism are analyzed for the longitudinal-bending vibrator. 3.Based on mode assumption and Hamilton principle, the coupling model of piezoelectric vibrator of linear USM is built; moreover, the equivalent circuit model is obtained and a coupling equation represents the relation between electric parameters and mechanical parameters is derived which provides foundation to match the vibrator and driving circuit. 4.Combine the constitutive equation of piezoelectric ceramic with elastic-dynamical equation, geometric equation in force field and the Maxwell equation in electric field and the corresponding boundary condition equation, the FEM control equation for piezoelectric vibrator of USM to solve dynamic electro-mechanical coupling field is established by employing the principle of virtual displacement. The equation lays the foundation to study the non-linear constitutive equation of piezoelectric ceramic driven by high-power. 5.Define the dynamic indexes of characteristic of vibrator and carry out variable parameters simulation by calculating the model parameters and the electric characteristics of vibrator are simulated according to the equivalent circuit model. By numerical experimentation, the working mode of vibration of vibrator and the shock excitation results of the working frequency band which provides the mode frequency to realize bimodal are analyzed. Detailed calculation of the electro-mechanical coupling field parameters is made by programming the FEM control equation.

本课题从理论模型、有限元数值试验、有限元控制模型等方面以复合振动模式振子为例对超声电机压电振子的动力学特性及其分析方法进行了全面系统地研究，得出了许多有价值的结论，主要概括如下： 1、阐述了目前针对超声电机压电振子的主要建模方法，对压电振子动态特性的研究意义和必要性进行了论述，突出了本文研究内容的迫切性； 2、以压电陶瓷诱发弹性体发生弯曲变形为例，分析了压电陶瓷通过诱发应变来实现机电能量转换的机理；对基于纵弯模式的压电振子的运动及动力传递机理进行了分析； 3、基于模态假定，利用分析动力学的Hamilton原理，建立了面向直线超声电机压电振子的机电耦合动力学模型，并据此建立了压电振子的等效电路模型，导出了电参量与动力学特性参量的耦合方程，为压电振子与驱动电路的匹配提供了依据； 4、从压电陶瓷的本构方程出发，综合力场的弹性动力学方程、几何方程、电场的麦克斯韦方程以及相应的边界条件方程，采用虚位移原理，建立了压电振子动态问题机电耦合场求解的有限元控制方程，为研究其大功率驱动下的非线性本构模型奠定了基础； 5、界定压电振子的动力学特性指标，对压电振子的机电耦合动力学模型参数进行计算及变参数仿真；依据等效电路模型，对压电振子的电学特性进行了仿真分析；通过有限元数值实验，对压电振子工作模态附近的模态振型及工作频率附近的频段进行了激振效果分析，找出了实现模态简并的激振频率；利用有限元控制方程，通过编程计算，对压电振子的力电耦合场参数进行了详细计算，得出了一些有价值的结论。

To get more insight into the mechanism and kinetics of the RAFT process,it would be helpful to build a small molecular model reaction mimicking the RAFT process but free of a chain-propagation event. We hereby propose a model cross reaction between dithioester and alkoxyamine as a probe of the RAFT process,in which the alkoxyamine plays the role of the radical source.The generating rate of the transient alkyl radical and the nitroxyl radical can be described by the law of persistent radical effect.Thus,the advantage of the model cross reaction is that it affords a radical concentration determined by the known equation of the persistent radical effect.

为了更深入的理解RAFT聚合过程，我们构建了一个模型反应：即由烷氧基胺与双硫酯进行交换反应，烷氧基胺均裂产生的烷基自由基将会向双硫酯进行链转移，双硫酯的引入对纯烷氧基胺分解动力学造成的影响可以提供RAFT过程的许多信息。

The advantage of supercritical carbon dioxide used as an environmental medium in polymerization and reactions in supercritical carbon dioxide are described. It includes homogeneous free radical polymerizations, precipitation free radical polymerizations, dispersion free radical polymerizations, emulsion and inverse emulsion free radical polymerizations, cationic polymerizations, ring-opening polymerization, melt-phase condensation polymerizations, sol-gel polymerizations, polymer blend synthesis, catalytic chain transfer polymerizations, oxidative coupling polymerization, nitroxide-mediated radical dispersion, atom-transfer radical polymerization, reversible addition-fragmentation chain transfer polymerization, electrochemical polymerization, simultaneous one-pot combination of enzymatic and chemical polymerization, copolymerization of carbon dioxide used as monomer.

评述了ScCO2作为聚合反应介质的优点，以及在ScCO2中可进行的聚合反应类型，包括均相聚合、沉淀聚合、分散聚合、乳液及反相乳液聚合、阳离子聚合、开环聚合、熔融态缩聚、溶液-凝胶聚合、聚合物混合合成、链催化转移聚合、氧化-偶合反应聚合、氮氧自由基可控活性聚合、原子转移自由基聚合、可逆加成-断裂链转移、电化学聚合、原子转移聚合与酶催化开环聚合两种活性聚合在ScCO2中同时聚合、二氧化碳作为原料共聚合等。

与radical equation相关的网络解释 [注：此内容来源于网络，仅供参考]

radical electronegativity：游离基电负性

radical dissection of thoracic tuberculous sinus 胸壁结核窦道根治清除术 | radical electronegativity 游离基电负性 | radical equation 无理方程

radical depolymerization：自由基解聚合

"radical decay","自由基衰变" | "radical depolymerization","自由基解聚合" | "radical disappearance","自由基消失"

radical exponent：根指数

根圆 radical circle | 根指数 radical exponent | 根函数 radical function