Exact response of damped linear vibrating systems to arbitrarily excitation is obtained according to theory of ordinary differential equations.
利用常微分方程组理论在较一般条件下求出了线性有阻尼多自由度振动系统对任意外激励的精确响应。
With the ordinary theory of Heat Exchange in physics this essay visualizes the essence of second-order homogenous linear partial differential equations.
本文利用物理学中常见的热传导理论，形象地阐释了二阶齐次线性偏微分方程的本质。
Based on netting theory, linear equations for the single spiral, spiral and hoop filament wound toroidal pressure vessel were obtained.
基于网络理论，得到了纤维单螺旋、螺旋加环向均衡型缠绕圆环压力容器的线型方程。
Using two-flow model, small perturbation theory and solvable conditions of one-order linear equations, a dispersion equation of pressure wave in horizontal air-liquid bubbly flow was proposed.
利用两流体模型、小扰动原理和线性一阶齐次方程组有解的条件，得到了气液泡状流型下的压力波色散方程。
Following the theory on characteristics of first order quasi-linear partial differential equations, classification of the balance equations for two-phase flow in interior ballistics is discussed.
根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
And the approximate linear solutions of the reaction dynamic equations are obtained by the theory of bifurcation.
并采用分支理论得到了反应动力学方程的近似解。
Based on the assumption of ideal forming theory and plain stress, the FE equations for axisymetric multi-step deep drawing inverse simulation are formulated with linear membrane element and .
针对增量有限元求解用时过多的问题 ，采用形变理论并利用理想形变的假设 ，导出用于板料成形设计的一步法 。
The general equations of the vibrations of the single cable system have been erected, and the linear theory is used to determine the frequencies and the modes of the cable system.
给出了单悬索系统的振动基本方程，及线性化方法确定系统自由振动的频率与模态方程。
The general equations of the vibrations of the single cable system have been erected, and the linear theory is used to determine the frequencies and the modes of the cable system.
给出了单悬索系统的振动基本方程，及线性化方法确定系统自由振动的频率与模态方程。
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