- 更多网络例句与振动方程相关的网络例句 [注：此内容来源于网络，仅供参考]
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Based on the dynamics fundamental equation, the rigid ships rolling coupled oscillation model was established, then the definite condition of the coupled oscillation equation under the regular transverse wave and first-order ordinary differential equations were presented. The ship vibration rule under the regular transverse wave was analyzed by examples, simultaneously the influence of damping coefficient on the vibration type was discussed.
基于动力学基本方程，首先建立了刚性船舶横摇的耦合振动方程，然后给出了在规则横浪激励下的耦合振动方程的定解条件和一阶常微分方程组，最后通过算例计算了在规则横浪作用下船舶的振动规律，同时研究了阻尼系数等参数对其振动规律的影响情况。
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The governing equation of in-plane vibration of cable-restraint system is derived by means of D'Alembert principle, and then those partial differential equations are transformed into a set of ordinary differential equations by Garlerkin method. The method of Runge-Kutta integration is applied to solve the equation. The simulation analysis is made to prove that this vibration control has obvious damping effects and then the influence of cable tension, support mass, natural frequency and spring stiffness on the damping are discussed. Eventually, the approximate analytic solution of the optimum damping parameter is obtained to provide a simple and effective reference and design method for the engineers.
通过D'Alembert原理建立拉索－弹性约束系统振动方程，通过Galerkin方法将偏微分方程转化为常微分方程，应用龙格－库塔积分法求解方程；经过仿真分析，验证了该振动控制具有明显的减振效果，并且讨论了初始拉力、支座质量、振动频率及弹簧刚度对减振效果的影响；最后给出了计算最优阻尼参数的近似解析式，为工程师提供了简便有效的参考依据及设计方法。
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Based on the hydrokinetics study of jigging process, the free vibration equations of ideal fluid and actual flow vibration equations have been established. These equations are the theoretical foundation to set the operation parameters and air pressure of the jig. The similar criteria and their related equation of model jig have been deducted by actual flow vibration equation. These similar criteria can be used for parameter transformation between model jig and industrial jig. One set of single cell model jig with measuring system has been constructed in laboratory.
本文通过对跳汰过程的流体动力学研究，建立了跳汰机中理想流体的自由振动方程和实际水流的振动方程，为跳汰机工作制度及风源风压的确定提供了理论依据；利用跳汰机中实际水流的振动方程推导出了跳汰机模型试验的相似准数，建立了模化准则关系式，为工业跳汰机与实验室跳汰机之间的参数转换提供了理论依据；并设计建造了一套实验室单槽模型跳汰机及其实验检测系统，为深入开展跳汰理论的研究创造了条件。
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By this method, the vibration solution can be obtained in the form of power series and the iterative computation is not needed.
本文首次将幂级数求解变系数微分方程的方法引入齿轮振动方程的求解中，从而不需要将齿轮变啮合刚度分段常数化和反复迭代求解，就可以求出齿轮的振动微分方程的解。
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Under the fixed and clamped boundary conditions, a nonlinear differential oscillation equation with quadric and cubic items was presented by the Galerkin method, and a nonlinear free oscillation equation of the shallow reticulated shells with damage was solved.
基于Lematire等效应变损伤原理，计及扁球面网壳各个杆件的损伤影响，根据薄壳非线性动力学理论推导出含有损伤扁球面网壳非线性动力学方程和协调方程，在固定夹紧边界条件下，用Galerkin方法得到一个含二次和三次非线性振动微分方程，并对具有损伤扁球面网壳的非线性自由振动方程求解。
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This text proceed with the theory of the vibration, utilize typical elastic hinge law analyze structure dynamics characteristic when the blade is quivered to instability, and then use relevant knowledge of blade vibration to simplify the model and the aerodynamic force of the vibration. Through the simplification, we can get the equation of the blade, which is dispersed to its instability. Then VISUAL BASIC procedure is utilized to work out thecharacteristic value of vibration and the vibration frequency. At last comparing the result which is calculated by the above-mentioned theory formulae with the result which is calculated by internationally agreed procedure ANSYS to verify the accuracy of the formula of reduction.
本文从振动理论入手，利用最为典型的弹性铰链法分析叶片发生颤振失稳时的结构动力学特性，然后对振动模型及振动时所受的气动力进行简化，利用简化方程得到叶片发生发散失稳时的振动方程，利用编制的VISUAL BASIC程序解出振动的特征值并得到振动频率，最后分别通过上述的理论公式和国际通用的有限元程序ANSYS对风力机叶片模型进行发散失稳时的频率计算，验证简化公式的准确性。
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In general, the other vibratory equations of Timoshenko's beam are special example of this equation. The steady-state vibrations of rail by making use of this equation are solved.
应用导出的方程，求解了铁路钢轨的稳态振动问题，相应地也给出了轨枕和道床的振动方程及其振动特性。
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A detailed model of non-linear parametric excitation vibration coupling the stay cable and the girder, in which the static sag as well as the geometric non-linearity are considered, is proposed in this paper. Based on several numeric examples investigated by the Galerkin method composed with the integration strategy, several kinds of factors effecting stay cable parameter vibration are studied. Another parameter vibration model by the axial excitation is presented and the corresponding nonlinear equations are derived. The smallest excitation amplitude,the transient state and steady state resonance amplitudes, and the changing characteristics of the axial force are obtained by using harmonic balance method. According to numerical examples calculated by numerical integration method, the effects of the inner damping of the stay cables are investigated.
本文创新地提出了斜拉桥拉索-桥面耦合参数振动模型，推导了索-桥耦合非线性参数振动方程组，联合Galerkin法及数值积分方法，对各种特性的拉索进行了数值求解，得出了影响拉索参数振动的各种因素；提出了斜拉索受轴向端激励参数振动模型，导出了模型的非线性振动方程，使用谐波平衡法得出了产生参数振动需要的最小激励幅值、共振时瞬态及稳态的振动幅值及索拉力的变化特性，并用数值积分方法对实际斜拉桥拉索进行了计算，分析了拉索阻尼对参数振动的影响。
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In this paper the equations of the stability and shear, flexural vibration of the straight bars with varying cross-section and the equations of motion of one degree of freedom systems with varying parameters are written as a unified self-adjoint differential equation of the second order eq.
本文将变截面杆的稳定与剪切、弯曲振动方程，以及具有变参数的单自由度体系的振动方程等均化为统一的二阶自共轭微分方程：并对，且的情形，将二阶自共轭方程化为贝塞尔方程。
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Primary parametric resonance of a parametrically excited simply supported thin rectangular plate on nonlinear elastic foundation is analyzed.
分析非线性弹性地基上受参数激励小挠度矩形薄板的主参数共振问题，由冯卡门方程和伽辽金方法得到系统的非线性振动方程，它是杜分-马休型方程，应用非线性振动的多尺度法得到平均方程。
- 更多网络解释与振动方程相关的网络解释 [注：此内容来源于网络，仅供参考]
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aeolian vibration：微风振动
流体激振:Flow-induced vibration | 微风振动:Aeolian vibration | 振动方程:Vibration equation
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Bragg's law：布拉格方程
受迫振动:Forced vibration | 布拉格方程:Bragg's law | 衍射强度:Diffraction intensity
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characteristic parameter：特征参数;固有参数
固有(特征)振动 characteristic oscillations | 特征参数;固有参数 characteristic parameter | 特征偏微分方程 characteristic partial differential equation
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EEG inverse problem：脑电逆问题
板方程的反问题:inverse plate problem | 脑电逆问题:EEG inverse problem | 振动反问题:Inverse Problem of Vibration
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oscillation equation：振动方程
oscillation 振动 | oscillation equation 振动方程 | oscillation function 振动函数
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oscillation equation of series circuit：串联电路的振荡方程
强迫振动的微分方程 differential equation of forced oscillation | 串联电路的振荡方程 oscillation equation of series circuit | 二阶线性微分方程 second order linera differential equation
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differential equation of forced oscillation：强迫振动的微分方程
自由振动的微分方程 differential equation of free vibration | 强迫振动的微分方程 differential equation of forced oscillation | 串联电路的振荡方程 oscillation equation of series circuit
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harmonic oscillator：谐振子
振动是粒子运动的另一种形式,谐振子(harmonic oscillator)的振动,是最简单的理想振动模型. 这里将把定态薛定谔方程应用于一维谐振子和三维谐振子系统,求解得到其波函数和能量. 石英晶体谐振器
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poisson：帕松
而弹性动力学之发展,早在一八二八年柯西(Cauchy)及帕松(Poisson)便已导出在弹性介质中振动时基本的微分方程. 帕松并指出在弹性介质中可以有两种截然不同的波型存在(即是后来在地震学上的P及S波详见后文). 嗣后司托克士(Stokes),
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ultrahyperbolic differential equation：超双曲型微分方程
超调和振动 ultraharmonic oscillations | 超双曲型微分方程 ultrahyperbolic differential equation | 超双曲型 ultrahyperbolic type