超导磁体螺栓结合面低温振动特性研究

振动特性对于超导磁体的各类工程应用具有重要意义,螺栓法兰盘连接是超导磁体系统的一种常见的支撑结构类型,然而螺栓结合面在低温条件下振动特性的相关研究目前尚少见报道.本研究中设计加工了简化的连接结构,在室温和液氮温度对其螺栓结合面进行振动特性的测试分析.接下来,采用集中质量法进行建模,并利用振型、频率与质量矩阵、刚度矩阵的关系求解了不同螺栓预紧力情况下的刚度矩阵,得到了系统总刚度和结合面刚度.使用上述方法对振动测量数据计算发现,该结构的系统总刚度与结合面刚度都随着预紧力增大而增大,同时液氮低温条件可使系统总刚度和结合面刚度进一步增大.     

小电流LED屏白平衡色温的控制

为了改善小电流LED屏的显示效果,基于新型LED灯珠光学性能测试数据,采用变量控制法,首先,分析了单色RGB色坐标及亮度分别对白平衡色温的影响,接着,从单变量分析中找到影响色温偏差较大的参数进行双偏分析,最后,进行变量分析结论的数据验证。研究结果表明,红光芯片亮度(Lr)、蓝光芯片亮度(Lb)及蓝光芯片坐标(Yb)是影响LED屏白平衡色温的主因,要使白平衡色温偏差控制在±500 K范围内,单偏条件下,要求Lr偏差不超过11%,Lb偏差不超过14%,Yb偏差不超过0.006;同时,也给出了双偏条件下相应的控制指标。该研究有望在LED分光机芯片分选,白光照明及小电流、小间距LED显示屏色偏差调节等方面获得相关的应用。     

方形LED阵列光斑发散特性的幂函数拟合

利用LED照度公式推导方形LED阵列的光斑半径和发散角公式,建立了研究方形LED阵列光斑发散特性的数值计算方法.通过拟合得到方形LED阵列的光斑半径和发散角随目标距离、m值及阵列边长变化的幂函数公式.结果表明,幂函数拟合方法与数值计算结果吻合,平均相对误差小于1%.该方法弥补了数值计算方法不能对方形LED阵列光斑发散特性解析研究的缺陷.     

Solitons and other solutions of the nonlinear fractional Zoomeron equation

In order to investigate the nonlinear fractional Zoomeron equation, we propose three methods, namely the Jacobi elliptic function rational expansion method, the exponential rational function method and the new Jacobi elliptic function expansion method. Many kinds of solutions are obtained and the existence of these solutions is determined. For some parameters, these solutions can degenerate to the envelope shock wave solutions and the envelope solitary wave solutions. A comparison of our new results with the well-known results is made. The methods used here can also be applicable to other nonlinear partial differential equations. The fractional derivatives in this work are described in the modified Riemann–Liouville sense.     

A scaling theory of bifurcations in the symmetric weak-noise escape problem

We consider two-dimensional overdamped double-well systems perturbed by white noise. In the weak-noise limit the most probable fluctuational path leading from either point attractor to the separatrix (the most probable escape path, or MPEP) must terminate on the saddle between the two wells. However, as the parameters of a symmetric double-well system are varied, a unique MPEP may bifurcate into two equally likely MPEPs. At the bifurcation point in parameter space, the activation kinetics of the system become non-Arrhenius. We quantify the non-Arrhenius behavior of a system at the bifurcation point, by using the Maslov-WKB method to construct an approximation to the quasistationary probability distribution of the system that is valid in a boundary layer near the separatrix. The approximation is a formal asymptotic solution of the Smoluchowski equation. Our construction relies on a new scaling theory, which yields critical exponents describing weak-noise behavior at the bifurcation point, near the saddle.