More Nonlocal Conserved Currents in Chiral Sigma Models

The infinite many nonlocal conserved currents are given for the principal chiral model. Wess-Zuminc-Witten chiral model and the supersymmetric chiral model with respect to the new hidden symmetry transformatione. It is shown that these conserved currents are related to the classical r-matrix and thus decompose into many families. The approach used here provides a systematic method to derive the Casimir operators for the infinite dimensional Lie algebras in its nonunitary and nonhighest weight representations.     

RADIATIVE DECAYS OF CHAKMONIUM AND CONSTITUENT QUARK MASSES

The problems of both El and M1 transitions of charmonium are discussed in the nonrelativistic potential model. It is found that these problems could be resolved by assuming larger constituent quark masses. With m_c=2.50GeV, m_b=5.84GeV in the typical linear plus Coulomb potential model we get satisfactory results for the mass spectra, the El and M1 transition rates, and the relative values of leptonic widths for the ψ and T families. The implication of the large constituent quark masses is also discussed.     

高温高压下扩张式封隔器胶筒非线性流动仿真计算

针对井下温度压力环境下扩张式封隔器的工作状态,本文建立了卡距内管柱及封隔器力学模型,采用网格重划分方法来描述胶筒在环空间隙中的非线性流动,并将重划分前后的网格信息进行映射,解决了封隔器有限元方程矩阵奇异问题。对不同压裂泵压、不同井温和不同环空间隙下封隔器胶筒的位移、剪切应力及接触压力进行仿真计算。压裂泵压为30 MPa～80 MPa时,胶筒未发生轴向窜动,橡胶基体的剪切应力及接触压力随着压裂泵压的增加而增大;井温为25℃～175℃时,胶筒基体剪切应力随井温的升高而增大,胶筒与套管间接触压力随井温升高而降低;胶筒与套管环空间隙为2.5 mm～9.5 mm,胶筒剪切应力随间隙增加而增大,胶筒与套管接触压力随间隙增加而降低。通过胶筒网格变形可知,胶筒橡胶在环空间隙中产生非线性流动是引起胶筒剪切应力数值增大、接触压力数值降低的根本原因。综上可得,在压裂作业中,随着压裂泵压的增大、井温的升高和环空间隙的增大,封隔器胶筒更容易发生剪切撕裂破坏,且封隔器的密封效果亦降低。     

回传波矩阵法在杆系结构静力分析中的应用

回传波矩阵法最初是由Pao等人分析二维框架结构动力响应时提出的。对于三维杆系结构的静力分析,为了确定结构的位移和内力,先要建立传递分配矩阵和载荷源向量,这可通过列出所有节点的静力平衡方程和位移协调方程来实现。同时,通过分析每根杆近端位移和远端位移的关系,建立结构的回传波矩阵（重分配矩阵）。在此基础上求解线性方程组,就可以得到结构的位移和内力。本文推导了空间杆系结构的有关矩阵方程式,并给出了一固定梁的两端弯矩求解算例。