For the stability requirement of numerical resultants, the mathematical theory of classical mixed methods are relatively complex. However, generalized mixed methods are automatically stable, and their building process...For the stability requirement of numerical resultants, the mathematical theory of classical mixed methods are relatively complex. However, generalized mixed methods are automatically stable, and their building process is simple and straightforward. In this paper, based on the seminal idea of the generalized mixed methods, a simple, stable, and highly accurate 8-node noncompatible symplectic element(NCSE8) was developed by the combination of the modified Hellinger-Reissner mixed variational principle and the minimum energy principle. To ensure the accuracy of in-plane stress results, a simultaneous equation approach was also suggested. Numerical experimentation shows that the accuracy of stress results of NCSE8 are nearly the same as that of displacement methods, and they are in good agreement with the exact solutions when the mesh is relatively fine. NCSE8 has advantages of the clearing concept, easy calculation by a finite element computer program, higher accuracy and wide applicability for various linear elasticity compressible and nearly incompressible material problems. It is possible that NCSE8 becomes even more advantageous for the fracture problems due to its better accuracy of stresses.展开更多
The main structure and working principle of the single-shaft horizontal total mixed ration mixer was discussed. For studying the mixing principle, the analysis of force and motion of the material on the paddle were ma...The main structure and working principle of the single-shaft horizontal total mixed ration mixer was discussed. For studying the mixing principle, the analysis of force and motion of the material on the paddle were made, and paddle angle and rotational speed of the rotor were determined by the experiment, the main mixing ways were explained.展开更多
In this paper,the mixed Pólya-Szegöprinciple is established.By the mixed Pólya-Szegöprinciple,the mixed Morrey-Sobolev inequality and some new analytic inequalities are obtained.
基金supported by the National Natural Science Foundations of China (Grant 11502286)
文摘For the stability requirement of numerical resultants, the mathematical theory of classical mixed methods are relatively complex. However, generalized mixed methods are automatically stable, and their building process is simple and straightforward. In this paper, based on the seminal idea of the generalized mixed methods, a simple, stable, and highly accurate 8-node noncompatible symplectic element(NCSE8) was developed by the combination of the modified Hellinger-Reissner mixed variational principle and the minimum energy principle. To ensure the accuracy of in-plane stress results, a simultaneous equation approach was also suggested. Numerical experimentation shows that the accuracy of stress results of NCSE8 are nearly the same as that of displacement methods, and they are in good agreement with the exact solutions when the mesh is relatively fine. NCSE8 has advantages of the clearing concept, easy calculation by a finite element computer program, higher accuracy and wide applicability for various linear elasticity compressible and nearly incompressible material problems. It is possible that NCSE8 becomes even more advantageous for the fracture problems due to its better accuracy of stresses.
基金Innovative Talent Research Fund of Harbin City(2006RFQXN011)
文摘The main structure and working principle of the single-shaft horizontal total mixed ration mixer was discussed. For studying the mixing principle, the analysis of force and motion of the material on the paddle were made, and paddle angle and rotational speed of the rotor were determined by the experiment, the main mixing ways were explained.
基金supported in part by NSFC(Grant No.12001291)supported in part by NSFC(Grant No.12071318)。
文摘In this paper,the mixed Pólya-Szegöprinciple is established.By the mixed Pólya-Szegöprinciple,the mixed Morrey-Sobolev inequality and some new analytic inequalities are obtained.
