Decomposition of SU(N) connection and Effective Theory of SU(N) QCD

We give a general decomposition of SU(N) connection and derive a generalized Skyrme-Faddeev action as the effective action of SU(N) QCD in the low energy limit. The result is obtained by separating the topological degrees which describes the non-Abelian monopoles from the dynamical degree of gauge potential, and integrating all the dynamical degrees of SU(N) QCD.Comment: retex, 7 page

Bayesian credible interval construction for Poisson statistics

The construction of the Bayesian credible (confidence) interval for a Poisson observable including both the signal and background with and without systematic uncertainties is presented. Introducing the conditional probability satisfying the requirement of the background not larger than the observed events to construct the Bayesian credible interval is also discussed. A Fortran routine, BPOCI, has been developed to implement the calculation.Comment: 7 pages, 1 figur

An approximate solution of the effective moduli on the composite thin-walled beams

This paper simplified the model and the equilibrium equations on the composite thin-walled beams. According to the boundary conditions of a cantilever beam, natural frequencies of box and circular beams in the directions of lead-lag, flapping and twisting were contrasted with those in a related reference to verify the validity of the model. An equivalent uniform solid beam whose length, cross section shape and line density were the same with those on the composite thin-walled beam was also built. By contracting and analyzing the natural frequencies of two beams, the orthogonal anisotropic effective elastic modulus expressions of composite thin-walled beams in the directions of x, y, z and twisting can be obtained. The approximate effective moduli on box and circular beams were calculated under the CUS, CAS configuration and other special layer styles. The effect of ply angel, ply thickness, the length, layer style and cross section on the effective moduli was also discussed. Finally, two calculating examples were furnished to demonstrate that much dynamic analysis on the composie beams can be made by the classic beam theory using an approximate effective modulus method

Dynamic simulation of nonlinear vibration on large horizontal axis turbine blades using a finite differential method

According to Kallesøe’s model of turbine blades, two methods were developed to solve the nonlinear vibration of blades, namely, nonlinear non-autonomous system with gravity effect and nonlinear autonomous system without gravity effect. The equations were changed into the mass and stiffness matrices using a finite difference method on the boundary conditions of cantilever beams. By the time discretion methods and the Matlab vibration toolboxes, the displacements and the phase tracks of blade tip were simulated in the directions of lead-lag, flapping and twisting. Then the amplitude-frequency and phase-frequency characteristic curves were plotted by the analysis of non-autonomous rotating turbine blades. Finally all simulation results were compared among the nonlinear system and the linear system. The nature frequencies and the convergence of the systems were also discussed

4-Benzyl-7-chloro-2H-1,4-benz­oxazin-3(4H)-one

In the title compound, C15H12ClNO2, the two benzene rings are nearly perpendicular to each other [dihedral angle = 89.99 (13)°]. The O atom of the six-membered heterocyclic ring is disordered over two sites in a ratio of 0.46 (4):0.54 (4) and is displaced from the mean plane formed by other five atoms, resulting an envelope conformation of the six-membered hetercycle ring