By means of Fourier integral transformation of generalized function, the fundamental solution for the bending problem of plates on two-parameter foundation is derived in this paper, and the fundamental solution is exp...By means of Fourier integral transformation of generalized function, the fundamental solution for the bending problem of plates on two-parameter foundation is derived in this paper, and the fundamental solution is expanded into a uniformly convergent series. On the basis of the above work, two boundary integral equations which are suitable to arbitrary shapes and arbitrary boundary conditions are established by means of the Rayleigh-Green identity. The content of the paper provides the powerful theories for the application of BEM in this problem.展开更多
Stemming from the definition of the Cauchy principal values (CPV) integrals, a newly developed symmetrical quadrature scheme was proposed in the paper for the accurate numerical evaluation of the singular boundary int...Stemming from the definition of the Cauchy principal values (CPV) integrals, a newly developed symmetrical quadrature scheme was proposed in the paper for the accurate numerical evaluation of the singular boundary integrals in the sense of CPV encountered in the boundary element method. In the case of inner element singularities, the CPV integrals could be evaluated in a straightforward way by dividing the element into the symmetrical part and the remainder(s). And in the case of end singularities, the CPV integrals could be evaluated simply by taking a tangential distance transformation of the integrand after cutting out a symmetrical tiny zone around the singular point. In both cases, the operations are no longer necessary before the numerical implementation, which involves the dull routine work to separate out singularities from the integral kernels. Numerical examples were presented for both the two and the three dimensional boundary integrals in elasticity. Comparing the numerical results with those by other approaches demonstrates the feasibility and the effectiveness of the proposed scheme.展开更多
为实现变压器式可控电抗器(controllable reactor of transformer type,CRT)"高阻抗、弱耦合"的设计原则,结合磁集成技术提出了一种变压器式可控电抗器磁集成结构,其工作绕组根据功率级数由多段绕组并联组成,所有绕组均采用...为实现变压器式可控电抗器(controllable reactor of transformer type,CRT)"高阻抗、弱耦合"的设计原则,结合磁集成技术提出了一种变压器式可控电抗器磁集成结构,其工作绕组根据功率级数由多段绕组并联组成,所有绕组均采用饼式结构。每段工作绕组与一个控制绕组组成结构基本单元,工作绕组与控制绕组间设置有铁饼以实现"高阻抗",各基本单元间设置分割铁心以实现"弱耦合"。基于ANSYS软件,采用"磁场-电路"耦合法对磁集成结构的磁场和电流进行有限元算例求解,其结果说明此结构能够满足CRT"高阻抗、弱耦合"的设计要求,验证了此结构的正确性。这种磁集成方法为磁集成技术在电力设备中的进一步应用提供了参考。展开更多
The moving least-square approximation is discussed first. Sometimes the method can form an ill-conditioned equation system, and thus the solution cannot be obtained correctly. A Hilbert space is presented on which an ...The moving least-square approximation is discussed first. Sometimes the method can form an ill-conditioned equation system, and thus the solution cannot be obtained correctly. A Hilbert space is presented on which an orthogonal function system mixed a weight function is defined. Next the improved moving least-square approximation is discussed in detail. The improved method has higher computational efficiency and precision than the old method, and cannot form an ill-conditioned equation system. A boundary element-free method (BEFM) for elastodynamics problems is presented by combining the boundary integral equation method for elastodynamics and the improved moving least-square approximation. The boundary element-free method is a meshless method of boundary integral equation and is a direct numerical method compared with others, in which the basic unknowns are the real solutions of the nodal variables and the boundary conditions can be applied easily. The boundary element-free method has a higher computational efficiency and precision. In addition, the numerical procedure of the boundary element-free method for elastodynamics problems is presented in this paper. Finally, some numerical examples are given.展开更多
文摘By means of Fourier integral transformation of generalized function, the fundamental solution for the bending problem of plates on two-parameter foundation is derived in this paper, and the fundamental solution is expanded into a uniformly convergent series. On the basis of the above work, two boundary integral equations which are suitable to arbitrary shapes and arbitrary boundary conditions are established by means of the Rayleigh-Green identity. The content of the paper provides the powerful theories for the application of BEM in this problem.
文摘Stemming from the definition of the Cauchy principal values (CPV) integrals, a newly developed symmetrical quadrature scheme was proposed in the paper for the accurate numerical evaluation of the singular boundary integrals in the sense of CPV encountered in the boundary element method. In the case of inner element singularities, the CPV integrals could be evaluated in a straightforward way by dividing the element into the symmetrical part and the remainder(s). And in the case of end singularities, the CPV integrals could be evaluated simply by taking a tangential distance transformation of the integrand after cutting out a symmetrical tiny zone around the singular point. In both cases, the operations are no longer necessary before the numerical implementation, which involves the dull routine work to separate out singularities from the integral kernels. Numerical examples were presented for both the two and the three dimensional boundary integrals in elasticity. Comparing the numerical results with those by other approaches demonstrates the feasibility and the effectiveness of the proposed scheme.
文摘为实现变压器式可控电抗器(controllable reactor of transformer type,CRT)"高阻抗、弱耦合"的设计原则,结合磁集成技术提出了一种变压器式可控电抗器磁集成结构,其工作绕组根据功率级数由多段绕组并联组成,所有绕组均采用饼式结构。每段工作绕组与一个控制绕组组成结构基本单元,工作绕组与控制绕组间设置有铁饼以实现"高阻抗",各基本单元间设置分割铁心以实现"弱耦合"。基于ANSYS软件,采用"磁场-电路"耦合法对磁集成结构的磁场和电流进行有限元算例求解,其结果说明此结构能够满足CRT"高阻抗、弱耦合"的设计要求,验证了此结构的正确性。这种磁集成方法为磁集成技术在电力设备中的进一步应用提供了参考。
基金supported by the National Natural Science Foundation of China(Grant No.10571118)the Shanghai Leading Academic Discipline Project(Grant No.Y0103).
文摘The moving least-square approximation is discussed first. Sometimes the method can form an ill-conditioned equation system, and thus the solution cannot be obtained correctly. A Hilbert space is presented on which an orthogonal function system mixed a weight function is defined. Next the improved moving least-square approximation is discussed in detail. The improved method has higher computational efficiency and precision than the old method, and cannot form an ill-conditioned equation system. A boundary element-free method (BEFM) for elastodynamics problems is presented by combining the boundary integral equation method for elastodynamics and the improved moving least-square approximation. The boundary element-free method is a meshless method of boundary integral equation and is a direct numerical method compared with others, in which the basic unknowns are the real solutions of the nodal variables and the boundary conditions can be applied easily. The boundary element-free method has a higher computational efficiency and precision. In addition, the numerical procedure of the boundary element-free method for elastodynamics problems is presented in this paper. Finally, some numerical examples are given.
