A method for calculating invariant subspaces of symmetric hyperbolic equations

An algorithm is constructed for calculating invariant subspaces of symmetric hyperbolic systems arising in electromagnetic, acoustic, and elasticity problems. Discrete approximations are calculated for subspaces that correspond to minimal eigenvalues and smooth eigenfunctions. Difficulties related to the presence of an infinite-dimensional kernel in the differential operator are successfully handled. The efficiency of the algorithm is demonstrated using acoustics equations.     

交叉概率对改进遗传算法运算速度影响的测试与分析

在现有文献基础上,通过理论分析,提出了交叉概率应取1.通过四个测试函数的测试结果,表明交叉概率越大,运算速度越快,平均运行代数越少,验证了通过理论分析提出的交叉概率应取1的科学性和可行性.同时克服了交叉概率难以确定以及确定交叉概率时缺少理论依据的不足.     

A NEW ENGINEERING CALCULATING MODEL FOR A LINEAR INCLUSION AND ITS APPLICATIONS

By using the hypothesis of the deformation of the straight bar and beamin mechanics of materials,a new engineering calculating model for a linear inclusion inplane is presented.Through the Kelvin's solution of a concentrated force,the inclusionproblem is reduced to solving a set of uncoupled singular integral equations which canbe solved by the numerical method of singular integral equation.Based on theseresults,several applicable examples including an inclusion-crack problem are calculatedand the results are quite satisfactory.     

考虑地基-结构-散粒体相互作用时贮仓结构的静、动力研究[Ⅱ]--有限元分析

对贮仓结构的静、动力问题进行了系统的分析计算：考虑到地基—结构—散粒体间的相互作用，引入新的计算模式，对不同地基上的贮仓结构模型进行了系统的有限元静、动力分析计算，并与作者所完成的试验结果进行了比较。结果表明，所提出的计算模式及有限元计算模型是正确的。     

不连续岩石梁的失稳解析

本文根据不连续岩石梁的物理力学特性提出了无拉力岩石梁的力学解析模型。根据Ｆｒｅｅｂｏｄｙ法及Ｃａｓｔｉｇｌｉａｎｏ定量导出了不连续梁各物理量的求解方程式。进而采用挠度增量δｍａｘ＾ｉ＋１＝δｍａｘ＾ｉ＋Δδ↑－的逐次解析方法，求解了不连续梁的失稳问题，得出了与Ｆ．Ｄ．Ｗｒｉｇｈｔ的试验值相吻合的结果。探讨了不连续岩石梁在不同荷载条件下的失稳特性。     

铝材轧制过程中润滑添加剂吸附特性研究

依据铝材轧制过程中润滑油添加剂浓度对摩擦因数的影响，同时以Ｔｅｍｋｉｎ吸附理论为基础，设定添加剂分子在摩擦表面的覆盖率与摩擦因数的联系，提出了铝材轧制过程中润滑添加剂吸附有的求解方法，还定义了铝材轧制时润滑添加剂饱和吸附最低浓度的概念，通过二辊轧机测定了在不同添加剂浓度时纯铝材轧制过程中的摩擦因数，并且计算了相应的润滑添加剂的吸附自由能及其饱和吸附最低浓度，表明理论分析结果与实测结果具有良好的一致     

关于正整数的六边形数部分

对任意正整数n,设b(n)表示n的六边形数部分.即就是b(n)=m(2m-1),如果m(2m-1)≤n＜(m 1)(2m 1),n∈N.本文主要目的是研究一个Dirichlet 级数的收敛性,并给出f(2)的一个精确的计算公式.     

Application and measurement of underwater acoustic reciprocity transfer functions in reverberant sound field

The reciprocity measurement theory in anomalous reverberant sound fields was investigated.An improved method Was proposed due to the interrelated errors.The source volume velocity Was corrected by spatial average of measurement results and evaluation of the reverberant sound field influence on acoustic energy density.The result was validated in underwater experiment,corrected reciprocity measurement results were almost the same as direct measurement results.It indicates that reverberant sound field does not affect the validitv of the principle,but influences the obtainment of source volume velocity,then influences the measurement of transfer functions with the principle.The proposed method is simple and effective in anomalous reverberant sound fields.The study mav be valuable for the applications which are based on the principle.     

开关柜内部电弧故障产生力和热的计算模型

开关柜内部电弧故障会引起许多效应。在电弧周围引起压力升高 ,并在柜体内和空气中引起温度升高。建立的模型对内部电弧故障引起的力和热的效应规律进行研究 ,并对这两种效应进行了数值求解。结果表明 ,对于持续时间为 1s的电弧故障 ,柜体内部压力在最初阶段上升很快 ,在达到一个峰值后下降直至消失 ,但热效应持续时间较长。     

关于一个F. Smarandache问题

令a(n)表示正整数n的十进制表示中的各位数字之积,f(n)为任意完全积性函数.对正整数x≥2,令A(x)=∑ n相似文献