| 1. | The analysis for the non - axisymmetric problem of bellows
波纹管的非对称问题分析 |
| 2. | Application of state space method to non - axisymmetric problems of multi - layer magneto - electro media
状态空间法求解层状压电压磁非轴对称问题 |
| 3. | Hybrid finite element method is analyzed and applied in the axisymmetric problem , of which the calculation equations are deduced
<中文摘要> =研究应力杂交有限元方法，推导计算公式，将其应用在轴对称问题中。 |
| 4. | In terms of the weighted residual method to the springback anti - coupled equations , the springback potential energy principle and springback complementary energy principle of axisymmetric problems are established
应用加权馀量法于该回弹反耦联方程，建立了轴对称问题的回弹势能原理和回弹馀能原理。 |
| 5. | 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。 |
| 6. | Using the fourier transform and following the similar reasoning steps of the axisymmetric problem , we obtain the general solution formulation of multilayered non - axisymmetric space magneto - electro - elastic media
利用fourier级数展开，再遵循轴对称问题的类似推导过程，即可得到多层压电压磁弹性材料空间非轴对称问题的一般解析式。 |
| 7. | Three schemes of axisymmetric problems are given . secondly , axisymmetric element with energy compatibility is constructed in detail . the performance of this axisymmetric element is discussed by numerical examples
本文然后通过优化组合参数近似实现零能误差的方法，分别对8参数能量协调轴对称元ach8和近似能量协调轴对称元rach8进行了优化。 |
| 8. | The generalized springback potential energy principle , and generalized springback complementary energy principle of axisymmetric problems are founded by lagrange ' s multiplier method to the springback potential energy principle and the springback complementary energy principle
应用拉氏乘子法于该回弹势能原理和回弹馀能原理，建立了轴对称问题的广义回弹势能原理和广义回弹馀能原理。 |
| 9. | Several models of bonded dissimilar materials with interface edges are calculated . displacement , electrical potential , singular stress fields and singular electrical displacement fields near a singular point are deduced by the eigenfuntion expansion method based on the general solution of the spatial axisymmetric problem of the transversely isotropic piezoelectric media . a generally axisymmetric interface edge of bimaterials with arbitrary interface angle and joining angle is analyzed theoretically by using this method
在此基础上，对具有任意界面角和结合角的横观各向同性双压电材料空间轴对称界面端一般模型的轴对称变形问题进行了理论分析，给出了该模型界面端的奇异性特征方程以及界面端附近的位移场、电势、奇异应力场和奇异电位移场。 |
| 10. | 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。 |
