New numerical method to solve eigenvalue equation of surface wave 计算表面波特征方程的一种新的数值方法
The first order weakly - guiding approximation for the eigenvalue equation of hybrid modes in a step - index optical fiber 阶跃光纤中混合模式特征方程的一阶弱导近似
Then use the finite element method to analyse the dielectric loaded resonant cavity , and get the generalized eigenvalue equation ax = k02bx , in matrix b includes the unknown r 然后采用有限元分析的方法来分析介质加载谐振腔,并得到待求广义特征方程ax = k02bx ,其中b中含有未知数r 。
For the mesoscopic metal ring system in external magnetic field , supposing the system has a symmetry under translation in charge space , the quantum current and the quantum energy spectrum in mesoscopic metal ring are given by solving thire eigenvalue equations ; and the quantum fluctuations of the current and the energy have been calculated by the character of the minimum shift operator 摘要针对处于外磁场中的介观金属环系统,假设在电荷空间中具有变换的对称性,通过求解本征值方程给出系统的量子电流、能谱关系;利用最小平移算符的性质等,计算介观金属环中电流和能量的量子涨落。
According to eigenvalue equation ( general formula ) of the energy method of the plane steel frame structure stability , and considering the restriction of the end of the column of the main steel frame and function of deflection curve gained from the differential balance equation general resolution , we get the equation for calculating the length coefficient of the main frame structure stability of the steel arch gate and the resolutions are also given 根据平面刚架稳定性能量法特征值方程(通式) ,考虑弧形钢闸门主框架柱的柱端约束的特殊情况,求出挠曲线函数(试解函数)通解,得到弧形钢闸门主框架柱稳定性计算长度系数方程。其中弧门主框架主横梁式形框架的临界荷载比较现行规范推荐的有限元法简单方便、结果精确及物理概念明确等优点。
For one - dimensional mesoscopic metal rings system in external magnetic field , supposing the system has a symmetry under translation in charge space , the quantum current relation in mesoscopic metal rings is given by solving the eigenvalue equation of the current , the property of quantum current have been investigated and analysed 摘要针对处于外磁场中的一维介观环系统,假设在电荷空间中具有变换的对称性,通过求解电流算符的本征值方程,给出系统中的量子电流关系,分析和研究一维介观金属环中量子电流的性质。
The simplified geometric nonlinear theory is used in post - buckling analysis . galerkin method is employed to derive the eigenvalue equation of the shell containing initia l geometrical imperfections . the buckling critical load is get . the program for calculating the buckling critical load is developed and the numerical example is given . 采用简化的几何非线性理论,进行了后屈曲分析,应用galerkin法推导得到了含有初始几何缺陷的编织复合材料圆柱壳的屈曲特征方程,得到了临界荷载的计算公式,编制了相应的计算机程序,并给出了具体算例,得到了一些有益的结论。
4 . with visco - elastic boundary of soil considered , the eigenvalue equation in frequency domain of soil dynamic equilibrium equation falls into a complex transcendental equation . in course of seeking its solution , based on argument principle and contour integral , with the aid of matlab , two numerical algorithm combined with the corresponding procedures for solving transcendental equations in a complex plane is developed by the author 4 、由于考虑了土体的粘弹性支承边界条件,使得其动力平衡方程在频域内的固有值方程为一复数超越方程,为了求解该方程,笔者基于幅角原理和闭合曲线积分,结合matlab ,提出了复平面上超越方程的两种数值解法,并编制了相应的程序。