With the application of Hammer integral formulas of a continuous function on a triangular element, the numerical integral formulas of some discrete functions on the element are derived by means of decomposition and re...With the application of Hammer integral formulas of a continuous function on a triangular element, the numerical integral formulas of some discrete functions on the element are derived by means of decomposition and recombination of base functions. Hammer integral formulas are the special examples of those of the paper.展开更多
Based on the principle of self-adaptive Simpson integration method, and by incorporating the‘fifth-order’Filon’s integration algorithm [Bull. Seism. Soc. Am. 73(1983) 913], we have proposed a simple and efficient n...Based on the principle of self-adaptive Simpson integration method, and by incorporating the‘fifth-order’Filon’s integration algorithm [Bull. Seism. Soc. Am. 73(1983) 913], we have proposed a simple and efficient numerical integration method, i.e., the self-adaptive Filon’s integration method (SAFIM), for computing the synthetic seismograms at large epicentral distances. With numerical examples, we have demonstrated that the SAFIM is not only accurate but also very efficient. This new integration method is expected to be very useful in seismology, as well as in computing similar oscillatory integrals in other branches of physics.展开更多
In this paper, by means of the maximum circle tensile stress on curve of constant ω and stress intensity factors by a path independent contour integral method, trajectories of maxed mode crack propagation are simulat...In this paper, by means of the maximum circle tensile stress on curve of constant ω and stress intensity factors by a path independent contour integral method, trajectories of maxed mode crack propagation are simulated through numerical manifold method. The crack propagation is traced dynamically by modifying the neighboring connection between the crack-top and nodes within elements in the calculating process. This method has the advantages such as less modified area, easiness of programming, high realizability and so on. Then a single sharp nicked specimen is used to verified the numerical result. It is shown that the provided method is reasonable and effective.展开更多
文摘With the application of Hammer integral formulas of a continuous function on a triangular element, the numerical integral formulas of some discrete functions on the element are derived by means of decomposition and recombination of base functions. Hammer integral formulas are the special examples of those of the paper.
基金Supported by the National Natural Science Foundation of China under Grant No.DYF49625406partially by the State Kay Fundamental Research Project of China(Grant No.95-013-02-01).
文摘Based on the principle of self-adaptive Simpson integration method, and by incorporating the‘fifth-order’Filon’s integration algorithm [Bull. Seism. Soc. Am. 73(1983) 913], we have proposed a simple and efficient numerical integration method, i.e., the self-adaptive Filon’s integration method (SAFIM), for computing the synthetic seismograms at large epicentral distances. With numerical examples, we have demonstrated that the SAFIM is not only accurate but also very efficient. This new integration method is expected to be very useful in seismology, as well as in computing similar oscillatory integrals in other branches of physics.
基金Funded by the National Natural Science Foundation of China (No. 10272033) and Guangdong Provincial Natural Science Foundation(Nos.04105386,5300090 and 05001844).
文摘In this paper, by means of the maximum circle tensile stress on curve of constant ω and stress intensity factors by a path independent contour integral method, trajectories of maxed mode crack propagation are simulated through numerical manifold method. The crack propagation is traced dynamically by modifying the neighboring connection between the crack-top and nodes within elements in the calculating process. This method has the advantages such as less modified area, easiness of programming, high realizability and so on. Then a single sharp nicked specimen is used to verified the numerical result. It is shown that the provided method is reasonable and effective.
文摘传递矩阵法(transfer matrix method,TMM)是研究结构振动时常用的计算方法,但在计算大跨度输流管路高频横向振动时,TMM存在数值不稳定的现象,制约了其进一步应用。基于无量纲化计算结果得到的子单元划分准则的全局传递矩阵法(global transfer matrix method,GTMM)、混合能传递矩阵法(hybrid energy transfer matrix method,HETMM)和结合变精度算法的传递矩阵法(variable precision algorithm-transfer matrix method,VPA-TMM)等三种方法解决了这一问题。GTMM是最常用的TMM计算稳定性改进方法;HETMM系首次从层状介质中的波传播计算扩展到管路系统的振动分析领域,计算矩阵的维度和形式不随子单元数的变化而变化,计算时间最短;VPA-TMM无需进行子单元划分,可以看作是从根源上解决了TMM的长跨度高频计算失稳问题,但计算时间会大幅度增加。
