基于小波-Galerkin方法的结构随机动力响应功率谱的确定

在最近发展的周期广义谐和小波PGHW(Periodic Generalized Harmonic Wavelet)的基础上,通过小波-Galerkin方法推导得到了线性单自由度结构的随机动力响应功率谱密度。在此过程中,利用PGHW的解析形式及其在频域内的特殊性:(1)推导得出了PGHW的联系系数(Connection Coefficient)的解析形式;(2)基于PGHW及其联系系数,利用小波-Galerkin方法推导得到了线性单自由度系统在确定性激励下的响应;(3)得到了在具有演变功率谱的随机动力激励下单自由度线性振子的随机响应功率谱解答。数值算例表明,无论是确定性响应解答,还是随机动力响应的功率谱密度,小波-Galerkin法的计算结果均能较好地吻合数值解。     

DYNAMICS IN NEWTONIAN-RIEMANNIAN SPACETIME (Ⅰ)

ＩｎｔｒｏｄｕｃｔｉｏｎＴｉｍｅａｎｄｓｐａｃｅｉｓａｂａｓｉｃｆｏｒｍｉｎｗｈｉｃｈｔｈｅｍａｔｔｅｒｓｅｘｉｓｔ.Ａｌｌｍａｔｔｅｒｓａｎｄｔｈｉｎｇｓｉｎｔｈｅｗｏｒｌｄｏｃｃｕｒ,ｅｘｉｓｔ,ｍｏｖｅ ,ｄｅｖｅｌｏｐａｎｄｖａｒｉａｔｅｉｎｔｈｅｓｐａｃｅｔｉｍｅ.Ａｌｌｐｒｏｃｅｓｓｅｓｉｎｔｈｅｍａｔｅｒｉａｌｗｏｒｌｄａｒｅｔｈｅｐｒｏｃｅｓｓｅｓｏｆｔｈｅｍｏｔｉｏｎ ,ｄｅｖｅｌｏｐｍｅｎｔａｎｄｖａｒｉａｔｉｏｎｏｆｍａｔｔｅｒｓ.Ｔｏｓｔｕｄｙｔｈｅｏｂｊｅｃｔｓｔｈａｔｏｃｃｕ…     

焊接接头疲劳寿命预测研究

利用作者构造的焊接接头疲劳抗力起始—扩展模型,可精确预测焊件的疲劳寿命,预测结果与实测结果吻合良好。     

多波长复用光传送网的生存结构

本文讨论了光传送网的传送和监控机制,按照传送网通用功能结构的定义,分析了光传送网几种保护交换方式内在的机制,讨论了各自应该属于路径保护还是子网连接保护.在此基础上给出了光信道保护环和光复用段保护环详细的功能结构,同时简要地介绍了这两种保护环信息建模中需要用到的对象类.     

Volterra系统全局稳定、扇形稳定及关联稳定的一些新判据

Stability of Volterra systems are discusses by subpositive definite matrix, and some new criterions for Volterra systems on overall situation stability, sector stability and connection stability are acquired. These results expand or improve some existing criterions.     

On the geometry of tangent hyperquadric bundles: CR and pseudoharmonic vector fields

We study the natural almost CR structure on the total space of a subbundle of hyperquadrics of the tangent bundle T(M) over a semi-Riemannian manifold (M, g) and show that if the Reeb vector ξ of an almost contact Riemannian manifold is a CR map then the natural almost CR structure on M is strictly pseudoconvex and a posteriori ξ is pseudohermitian. If in addition ξ is geodesic then it is a harmonic vector field. As an other application, we study pseudoharmonic vector fields on a compact strictly pseudoconvex CR manifold M, i.e. unit (with respect to the Webster metric associated with a fixed contact form on M) vector fields X ε H(M) whose horizontal lift X↑ to the canonical circle bundle S¹ → C(M) → M is a critical point of the Dirichlet energy functional associated to the Fefferman metric (a Lorentz metric on C(M)). We show that the Euler–Lagrange equations satisfied by X^↑ project on a nonlinear system of subelliptic PDEs on M. Mathematics Subject Classifications (2000): 53C50, 53C25, 32V20     

Gauge fields and D-branes

We prove that self-dual gauge fields in type I superstring theory are equivalent to configurations of Dirichlet 5-branes, by showing that the world-sheet theory of a Dirichlet 1-brane moving in a background of 5-branes includes an “ADHM sigma model”. This provides an explicit construction of the equivalent self-dual gauge field. We also discuss type II.     

半导体激光器列阵与光纤的连接

半导体激光器具有体积小、重量轻、效率高、寿命长、使用方便等许多优点，在泵浦固体激光器、材料加工、空间光通信、高速记录、激光诊断、激光治疗等方面有广泛的应用［１，２］，同时也推动了半导体激光器列阵的研究．人们期望激光器列阵不仅具有大的功率输出，而且应用...     

The Geometry of Lightlike Hypersurfaces of the de Sitter Space

It is proved that the geometry of lightlike hypersurfaces of the de Sitter space Sn+11 is directly connected with the geometry of hypersurfaces of the conformal space Cn. This connection is applied for a construction of an invariant normalization and an invariant affine connection of lightlike hypersurfaces as well as for studying singularities of lightlike hypersurfaces.     

半刚性连接平面钢框架整体稳定分析的单元刚度矩阵

经数学推导首先得出仅考虑几何缺陷及二阶效应的梁单元转角位移方程(有3种形式,分别为轴力大于零、等于零及小于零).在此基础上对转角位移方程进行修改,并将3种情况下的转角位移方程统一为1种形式,进而得出综合考虑几何缺陷、二阶效应和半刚性连接特性的平面梁单元刚度矩阵.所得结果可用于具有任意分布几何缺陷的半刚性连接钢框架结构的整体稳定分析.