Using the complex variable function method and the technique of conformal mapping, the anti-plane shear problem of an elliptic hole with asymmetric colfinear cracks in a one-dimensional hexagonal quasi-crystal is solv...Using the complex variable function method and the technique of conformal mapping, the anti-plane shear problem of an elliptic hole with asymmetric colfinear cracks in a one-dimensional hexagonal quasi-crystal is solved, and the exact analytic solutions of the stress intensity factors （SIFs） for mode Ⅲ problem are obtained. Under the limiting conditions, the present results reduce to the Griffith crack and many new results obtained as well, such as the circular hole with asymmetric collinear cracks, the elliptic hole with a straight crack, the mode T crack, the cross crack and so on. As far as the phonon field is concerned, these results, which play an important role in many practical and theoretical applications, are shown to be in good agreement with the classical results.展开更多
Generalized Jacobi polynomials with indexes α,β∈ R are introduced and some basic properties are established. As examples of applications,the second- and fourth-order elliptic boundary value problems with Dirichlet ...Generalized Jacobi polynomials with indexes α,β∈ R are introduced and some basic properties are established. As examples of applications,the second- and fourth-order elliptic boundary value problems with Dirichlet or Robin boundary conditions are considered,and the generalized Jacobi spectral schemes are proposed. For the diagonalization of discrete systems,the Jacobi-Sobolev orthogonal basis functions are constructed,which allow the exact solutions and the approximate solutions to be represented in the forms of infinite and truncated Jacobi series. Error estimates are obtained and numerical results are provided to illustrate the effectiveness and the spectral accuracy.展开更多
In this paper, we establish a general theta function identity. It is a common origin of many theta function identities. From which many classical and new modular equations are derived. All the proofs are elementary.
研究TD-LTE频段微波介质腔体滤波器的快速设计与调试.为了验证此方法在工程应用领域具有普适性与实用性,利用高频结构仿真软件(HFSS)仿真调试一款8阶准椭圆函数带通滤波器,实现中心频率f0=2 600 MHz,带宽(BW)为40 MHz,插入损耗≤0.5 d B...研究TD-LTE频段微波介质腔体滤波器的快速设计与调试.为了验证此方法在工程应用领域具有普适性与实用性,利用高频结构仿真软件(HFSS)仿真调试一款8阶准椭圆函数带通滤波器,实现中心频率f0=2 600 MHz,带宽(BW)为40 MHz,插入损耗≤0.5 d B,驻波比≤1.35,带外30 MHz处的抑制≥60 d B.仿真结果达到滤波器商用化的要求,该方法在滤波器设计中具有很大的工程应用价值,可为其他设计者提供参考.展开更多
基金supported by the National Natural Science Foundation of China (Grant No 10761005)the Inner Mongolia Natural Science Foundation of China (Grant No 200607010104)
文摘Using the complex variable function method and the technique of conformal mapping, the anti-plane shear problem of an elliptic hole with asymmetric colfinear cracks in a one-dimensional hexagonal quasi-crystal is solved, and the exact analytic solutions of the stress intensity factors （SIFs） for mode Ⅲ problem are obtained. Under the limiting conditions, the present results reduce to the Griffith crack and many new results obtained as well, such as the circular hole with asymmetric collinear cracks, the elliptic hole with a straight crack, the mode T crack, the cross crack and so on. As far as the phonon field is concerned, these results, which play an important role in many practical and theoretical applications, are shown to be in good agreement with the classical results.
基金the National Natural Science Foundation of China (Nos.11571238,11601332,91130014,11471312 and 91430216).
文摘Generalized Jacobi polynomials with indexes α,β∈ R are introduced and some basic properties are established. As examples of applications,the second- and fourth-order elliptic boundary value problems with Dirichlet or Robin boundary conditions are considered,and the generalized Jacobi spectral schemes are proposed. For the diagonalization of discrete systems,the Jacobi-Sobolev orthogonal basis functions are constructed,which allow the exact solutions and the approximate solutions to be represented in the forms of infinite and truncated Jacobi series. Error estimates are obtained and numerical results are provided to illustrate the effectiveness and the spectral accuracy.
基金Supported by the National Natural Science Foundation of China（11071107, 11371184）
文摘In this paper, we establish a general theta function identity. It is a common origin of many theta function identities. From which many classical and new modular equations are derived. All the proofs are elementary.
文摘研究TD-LTE频段微波介质腔体滤波器的快速设计与调试.为了验证此方法在工程应用领域具有普适性与实用性,利用高频结构仿真软件(HFSS)仿真调试一款8阶准椭圆函数带通滤波器,实现中心频率f0=2 600 MHz,带宽(BW)为40 MHz,插入损耗≤0.5 d B,驻波比≤1.35,带外30 MHz处的抑制≥60 d B.仿真结果达到滤波器商用化的要求,该方法在滤波器设计中具有很大的工程应用价值,可为其他设计者提供参考.
