探索和完善更合乎逻辑的分离设计体系,以中基线拉伸补偿为目的,提出基于独立非线性参数异位化性能的直接设计方法。使用直接基于性能的设计方法和传统的微调计数方法设计和分析真实工程,比较不同分离结构中数值单环法的差异,研究不同性...探索和完善更合乎逻辑的分离设计体系,以中基线拉伸补偿为目的,提出基于独立非线性参数异位化性能的直接设计方法。使用直接基于性能的设计方法和传统的微调计数方法设计和分析真实工程,比较不同分离结构中数值单环法的差异,研究不同性能降低系数下不同设计方法中内力响应和基于性能的直接设计方法的经济效益。结论:FNA方法与直接和球体的内力响应差异小于10%,不同的C函数调整系数对地板加固影响不大,但光束柱组件存在差异。如果值 C 为 0.5,则梁柱的钢含量小于微平系数法,如果 C 值为 0.7,则框架柱的钢含量高于微平系数法。一句话:基于性能的隔离结构的直接设计方法不仅显著降低了母体结构的地板响应,而且通过多种性能补偿因素实现了各种性能设计目标。笔者结合身多年设计工作经验,本次主要针对基于性能的隔震结构直接设计方法展开深入研究,所得文献与同行业人员共享,望对行业的前进起到一定的促进作用。展开更多
The electric field integral equation (EFIE) combined with the multilevel fast multipole algorithm (MLFMA) is applied to analyze the radiation and impedance properties of wire antennas mounted on complex conducting pla...The electric field integral equation (EFIE) combined with the multilevel fast multipole algorithm (MLFMA) is applied to analyze the radiation and impedance properties of wire antennas mounted on complex conducting platforms to realize fast, accurate solutions. Wire, surface and junction basis functions are used to model the current distribution on the object. Application of MLFMA reduces memory requirement and computing time compared to conventional methods, such as method of moment (MOM), especially for the antenna on a large-sized platform. Generalized minimal residual (GMRES) solver with incomplete LU factorization preconditioner using a dual dropping strategy (ILUT) is applied to reduce the iterative number. Several typical numerical examples are presented to validate this algorithm and show the accuracy and computational efficiency.展开更多
In 2D fast multipole method for scattering problems,square quadrature rule is used to discretize the Bessel integral identity for diagonal expansion of 2D Helmholtz kernel,and numerical integration error is introduced...In 2D fast multipole method for scattering problems,square quadrature rule is used to discretize the Bessel integral identity for diagonal expansion of 2D Helmholtz kernel,and numerical integration error is introduced. Taking advantage of the relationship between Euler-Maclaurin formula and trapezoidal quadrature rule,and the relationship between trapezoidal and square quadrature rule,sharp computable bound with analytical form on the error of numerical integration of Bessel integral identity by square quadrature rule is derived in this paper. Numerical experiments are presented at the end to demonstrate the accuracy of the sharp computable bound on the numerical integration error.展开更多
文摘探索和完善更合乎逻辑的分离设计体系,以中基线拉伸补偿为目的,提出基于独立非线性参数异位化性能的直接设计方法。使用直接基于性能的设计方法和传统的微调计数方法设计和分析真实工程,比较不同分离结构中数值单环法的差异,研究不同性能降低系数下不同设计方法中内力响应和基于性能的直接设计方法的经济效益。结论:FNA方法与直接和球体的内力响应差异小于10%,不同的C函数调整系数对地板加固影响不大,但光束柱组件存在差异。如果值 C 为 0.5,则梁柱的钢含量小于微平系数法,如果 C 值为 0.7,则框架柱的钢含量高于微平系数法。一句话:基于性能的隔离结构的直接设计方法不仅显著降低了母体结构的地板响应,而且通过多种性能补偿因素实现了各种性能设计目标。笔者结合身多年设计工作经验,本次主要针对基于性能的隔震结构直接设计方法展开深入研究,所得文献与同行业人员共享,望对行业的前进起到一定的促进作用。
基金This project was supported by the National Natural Science Foundation of China (60431010).
文摘The electric field integral equation (EFIE) combined with the multilevel fast multipole algorithm (MLFMA) is applied to analyze the radiation and impedance properties of wire antennas mounted on complex conducting platforms to realize fast, accurate solutions. Wire, surface and junction basis functions are used to model the current distribution on the object. Application of MLFMA reduces memory requirement and computing time compared to conventional methods, such as method of moment (MOM), especially for the antenna on a large-sized platform. Generalized minimal residual (GMRES) solver with incomplete LU factorization preconditioner using a dual dropping strategy (ILUT) is applied to reduce the iterative number. Several typical numerical examples are presented to validate this algorithm and show the accuracy and computational efficiency.
基金the National Natural Science Foundation of China (No. 11074170)the Independent Research Program of State Key Laboratory of Machinery System and Vibration (SKLMSV) (No. MSV-MS-2008-05)the Visiting Scholar Program of SKLMSV (No. MSV-2009-06)
文摘In 2D fast multipole method for scattering problems,square quadrature rule is used to discretize the Bessel integral identity for diagonal expansion of 2D Helmholtz kernel,and numerical integration error is introduced. Taking advantage of the relationship between Euler-Maclaurin formula and trapezoidal quadrature rule,and the relationship between trapezoidal and square quadrature rule,sharp computable bound with analytical form on the error of numerical integration of Bessel integral identity by square quadrature rule is derived in this paper. Numerical experiments are presented at the end to demonstrate the accuracy of the sharp computable bound on the numerical integration error.
