state vector equation meaning in English
状态矢量方程
Examples
- Simply supported and multilayered magneto - electro - elastic plates : the state vector equation of transversely isotropic magneto - electro - elastic solid is established from its governing equations in a cartesian coordinate system
对于简支压电压磁弹性层合板问题，从它的基本方程出发，建立了压电压磁弹性层合板的状态变量方程。 - Non - axisymmetric problem : two independent sets of the state vector equations are derived from its governing equations in a cylindrical coordinate system by introducing a set of auxiliary variables
层状压电压磁弹性材料的空间非轴对称问题：在柱坐标下，通过引入一组辅助变量，从它的控制方程推导出两组相互独立的状态变量方程。 - Using the fourier transform due to boundary conditions of simply support , solutions of a single magneto - electro - elastic layer in the form of initial state vector and transfer matrix are obtained in fourier transform space from the state vector equations
对状态变量方程进行fourier变换，得到了状态变量表示的单层压电压磁弹性层合板在fourier变换空间中的解，导出了多层压电压磁弹性层合板的表达式。 - Using the hankel transform , the state vector equations are reduced to a set of ordinary differential equations . according to the theory of ordinary differential equations and the cayley - hamilton theorem , an analytical solution of the problem is presented in the form of the product of initial state vector and transfer matrix , which is given for the four distinct eigenvalues each . applications of the solutions are discussed
利用hankel变换，将状态变量方程转化为一组常微分方程组；进而根据常微分方程组解的理论和cayley - hamilton定理，得到了以状态变量和传递矩阵乘积表示的单层压电压磁弹性材料的解析解；并讨论了4种不同特征根的情况以及解的应用。 - Applications of the state vector method into the analysis of lamina , the current research state of piezoelectric materials and smart materials for civil engineering applications are briefly reviewed based upon literature search . solutions for axisymmetric and non - axisymmetric layered space magneto - electro - elastic media via the state vector method are investigated . axisymmetric problem : the state vector equation of transversely isotropic axisymmetric space magneto - electro - elastic media is established in a cylindrical coordinate system
本文在文献调研的基础上，简介了状态变量法在层合结构分析巾的应用、压电材料的研究现状和智能材料与结构在土木工程中的应用；探讨了运用状态变量法求解层状压电压磁弹性材料的空间轴对称问题和非轴对称问题。