ideal gas equation
- ideal gas equation的基本解释
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[化] 理想气体状态方程
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- ideal gas equation of state
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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。
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On the basis of gas migration equation -Darcy Law,coal seam gas content equation -parabola equation ,ideal gas state equation and the continuity equation s of the gas flow,a dynamic model of gas unilateral flow in the coal seam is set .
根据基本假设,对煤层瓦斯流动规律进行了研究,运用瓦斯运动方程—达西定律、煤层瓦斯含量方程—抛物线方程、理想气体状态方程以及气体流动的连续性方程,建立了煤层单向瓦斯流动的动力学模型,并根据边界条件和初始条件,对动力学模型进行了求解,推导出煤壁单位面积的瓦斯涌出量的计算公式,分析了瓦斯涌出量的影响因素,利用测得的数据,进行了实例计算,并用vc编制了计算机程序。
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The first chapter, main instead " duo-ring " condition of " every maximal left ideal is GW-ideal " condition,study strongly regularities of GP-V-ring on this condition.lt is shown that (1) R is strongly regular iff R is left GP-V-ring whose maximal left ideals are GW-ideal.(2)R is strongly regular iff R is left GP-V-ring whose maximal right ideals are GW-ideal. The second chapter, generalize some results of GP-V-ring to GP-V-ring, discuss regularity of GP-V-ring.It is shown that (1) R is left self-injective regular with non-zero socle iff R is left GP-V -ring with Soc = Soc and R contains an injective maximal left ideal.(2)R is regular ring and every maximal essential left ideal is ideal iff R is left GP-injective left GP-V -ring and every maximal essential left ideal is ideal.
第一章主要将"duo-环"条件替换成"每一极大左理想是GW-理想"条件,研究在此条件下,GP-V-环的强正则性,证明了:(1)R是强正则环当且仅当R是左GP-V-环且R的每一极大左理想是广义弱理想;(2)R是强正则环当且仅当R是左GP-V-环且R的每一极大右理想是广义弱理想,第二章,主要将GP-V-环上一些结果推广到GP-V′-环上,讨论GP-V′-环的正则性,证明了:(1)R是左自内射正则环且Soc≠0当且仅当R是包含内射极大左理想的GP-V′-环,且Soc=Soc;(2)R是正则环且每一极大本质左理想是理想当且仅当R是左GP-内射的左GP-V′-环且每一极大本质左理想是理想。
- 更多网络解释 与ideal gas equation相关的网络解释 [注:此内容来源于网络,仅供参考]
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ideal gas equation:理想气体方程
ideal gas 理想气体 | ideal gas equation 理想气体方程 | ideal gas temperature scale 理想气体温标
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ideal gas equation:理想气体状态方程
ideal vacuum 绝对真空 | ideal-gas equation 理想气体状态方程 | identification lamp 标识灯
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ideal gas equation:理想氣體方程式
ideal gas law 理想气体定律 | ideal gas equation 理想气体方程式 | ideal gas 理想气体
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ideal gas equation:想气体方程式
ideal gas 想气体 | ideal-gas equation 想气体方程式 | macroscopic properties 巨视性质
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ideal gas equation of state:理想气体状态方程
状态state1.468 | 理想气体状态方程ideal gas equation of state1.469 | 范德瓦耳斯方程van der Waals equation of state1.470
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