| 1. | A new form of dual vectors and a new dual differential matrix is presented
提出了新的对偶向量形式和新的对偶微分矩阵。 |
| 2. | A modeling method using dual vector for elementary elements of mechanism knowledge base is proposed
提出了知识库基本元素的对偶矢量建模方法。 |
| 3. | The structure of knowledge base for mechanism kinematic schemes , screw theory and dual vector representation are introduced briefly
摘要简要介绍了机械运动系统方案设计知识库的结构和螺旋理论及对偶矢量表达。 |
| 4. | In chapter 7 a new form of dual vectors is presented , a new dual differential matrix is founded and the orthogonality relationship is researched
第七章提出一种新的对偶向量形式和建立一种新的对偶微分矩阵，并研究正交关系。 |
| 5. | In chapter 6 constructing dual vectors involved in multi - directions of coordinates , establishing dual equations and corresponding variational principles are researched
第六章对涉及多个坐标方向的对偶向量的构造、对偶方程组及相应的变分原理的建立进行研究。 |
| 6. | In the framework of this dissertation the problems of the dual vectors , orthogonality relationship and a elastic body with plate domain involved in the system of dual vectors are researched
在本文的框架下研究与对偶向量体系有关的对偶向量、正交关系、板状弹性体等问题。 |
| 7. | 5 . the solution of this dissertation is different from one of the system of dual vectors in which the solution of zero eigenvalue is corresponding with saint - venant ' s solution
与对偶向量体系采用零特征的解对应圣维南解不同，本文采用微分算子解法，将2维弹性力学的解进行分解。 |
| 8. | It is avoided that a direction of coordinate is simulated as a time coordinate . the dual vectors presented by a new systematic methodology for theory of elasticity are generalized to multi - directions of coordinates
避免用时间坐标对一个坐标方向的模拟，将弹性力学求解新体系提出的对偶向量推广到多坐标方向。 |
| 9. | By using new dual vectors , dual differential matrix and orthogonality relationship , a new solution method by igenfunction expansion for an elastic system with one continuous coordinate is establishen based on the theory of ordinary differential eguations
摘要以常微分方程的理论为基础，利用新的对偶变量、对偶微分矩阵和正交关系，以单连续座标弹性体系为例，建立了与弹性力学求解新体系平行的特徵函数展开解法。 |
| 10. | For anisotropic materials in which this direction of coordinate z is an orthogonal direction of materials it is discovered that the orthogonality relationship of the system of dual vectors may be decomposed into two independent and symmetrical orthogonality subrelationships
对于z方向材料正交的各向异性材料，发现了对偶向量体系的正交关系可以分解为2个独立的、对称的子正交关系，新的正交关系包含对偶向量体系的正交关系。 |
