| 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. | 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。 |
| 3. | 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。 |
| 4. | 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。 |
| 5. | 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。 |
| 6. | 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。 |
| 7. | 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。 |
| 8. | The new orthogonality relationship includes the orthogonality relationship in the system of dual vectors . the research of this dissertation indicates that the orthogonality relationship of the system of dual vectors may be appeared in a strong form with narrow sense in the condition that this direction of coordinate z of a anisotropic materials is a orthogonal direction of materials
对偶向量体系的正交关系是一个普遍成立的广义关系。但对偶向量体系的正交关系可以在z方向材料正交的各向异性的条件下以狭义的强形式出现。 |
